共振非弹性X射线散射在量子材料领域的应用

周克瑾

doi:10.7498/aps.73.20241009

摘要

共振非弹性X射线散射(resonant inelastic X-ray scattering, RIXS)是一种先进的基于同步辐射和自由电子激光光源的光进光出的谱学探测手段. 在过去的十几年, RIXS的能量分辨不断被提高, 其对凝聚态物质的研究也从最初的晶体场分裂和电荷转移激发, 发展到产生于包括电荷、自旋、轨道、晶格4个量子自由度的集体激发行为及相关的序参量. 本文总结了近几年高分辨软X射线RIXS在量子材料领域, 如铜基和镍基高温超导材料等离子激发及磁激发的研究, 量子材料中的集体轨道激发、激子激发和高阶磁激发, 以及对磁性金属和拓扑磁性材料中磁激发的探测.

关键词:

Abstract

The essence of quantum materials lies in the intricate coupling among charge, spin, orbital and lattice degrees of freedom. Although X-ray photoemission spectroscopy and inelastic neutron scattering have advantages in detecting fermionic single-particle spectral function and bosonic spin excitations in quantum materials, respectively, probing other bosonic collective excitations especially their coupling is not possible until the establishment of the advanced resonant inelastic X-ray scattering (RIXS). In the past decades, RIXS has flourished with continuously improved energy resolution which made a paradigm shift from measuring crystal-field splitting and the charge-transfer excitation, to probing collective excitations and the order parameters of all degrees of freedom. This review paper summarises the latest research progress of quantum materials studied by the soft X-ray RIXS. For instance, three-dimensional collective charge excitations, plasmons, were discovered experimentally by RIXS in both electron and hole doped cuprate superconductors. The collective orbital excitations and excitons were found in copper and nickel based quantum materials. For the newly discovered nickelate superconductors, RIXS has made substantial contributions to characterising their electronic and magnetic excitations and the related ordering phenomena critical for an in-depth understanding of the underlying superconducting mechanicsm. The RIXS is a unique tool in probing the higher-order spin excitations in quantum materials due to the strong spin-orbit coupling and the core-valence exchange interaction. The RIXS is also found to be superior in probing the Stoner magnetic excitations in magnetic metals and topological magnetic materials. Finally, the development of RIXS technology in Chinese large-scale research facilities is briefly prospected.

Keywords:

作者及机构信息

周克瑾

英国钻石同步辐射光源, 哈维尔园区, 迪德科特　OX11 0DE

通信作者: 周克瑾, kejin.zhou@diamond.ac.uk

Authors and contacts

Zhou Ke-Jin

Diamond Light Source, Harwell Campus, Didcot OX11 0DE, United Kingdom

Corresponding author: Zhou Ke-Jin, kejin.zhou@diamond.ac.uk

文章全文 : translate this paragraph

参考文献

[1]	Tokura Y, Kawasaki M, Nagaosa N 2017 Nat. Phys. 13 1056 Google Scholar
[2]	Yin J X, Lian B, Zahid Hasan M 2022 Nature 612 647 Google Scholar
[3]	Dresselhaus M S 2011 Annu. Rev. Condens. Matter Phys. 2 1 Google Scholar
[4]	Ohtomo A, Hwang H Y 2004 Nature 427 423 Google Scholar
[5]	Chen S F, Ning Y J, Tang C S, Dai L, Zeng S W, Han K, Zhou J, Yang M, Guo Y Q, Cai C B, Ariando A, Wee A T S, Yin X M 2024 Adv. Electron. Mater. 10 2300730 Google Scholar
[6]	Wang Q Y, Zhi L, Zhang W H 2012 Chin. Phys. Lett. 29 037402 Google Scholar
[7]	Ament L J P, van Veenendaal M, Devereaux T P 2011 Rev. Mod. Phys. 83 705 Google Scholar
[8]	Braicovich L, van den Brink L, Bisogni V, Sala M M, Ament L J P, Brookes N B, De Luca G M, Salluzzo M, Schmitt T, Strocov V N, Ghiringhelli G 2010 Phys. Rev. Lett. 104 077002 Google Scholar
[9]	Le Tacon M, Ghiringhelli G, Chaloupka J, Sala M M, Hinkov V, Haverkort M W, Minola M, Bakr M, Zhou K J, Blanco-Canosa S, Monney C, Song Y T, Sun G L, Lin C T, De Luca G M, Salluzzo M, Khaliullin G, Schmitt T, Braicovich L, Keimer B 2011 Nat. Phys. 7 725 Google Scholar
[10]	Zhou K J, Huang Y B, Monney C, Dai X, Strocov V N, Wang N L, Chen Z G, Zhang C L, Dai PC, Patthey L, van den Brink J, Ding H, Schmitt T 2013 Nat. Commun. 4 1470 Google Scholar
[11]	Haverkort M W 2010 Phys. Rev. Lett. 105 167404 Google Scholar
[12]	Glawion S, Heidler J, Haverkort M W, Duda L C, Schmitt T, Strocov V N, Monney C, Zhou K J, Ruff A, Sing M, Claessen R 2011 Phys. Rev. Lett. 107 107402 Google Scholar
[13]	Schlappa J, Wohlfeld K, Zhou K J 2012 Nature 485 82 Google Scholar
[14]	Benckiser E, Fels L, Ghiringhelli G, Sala M M, Schmitt T, Schlappa J, Strocov V N, Mufti N, Blake G R, Nugroho A A, Palstra T T M, Haverkort M W, Wohlfeld K, Grüninger M 2013 Phys. Rev. B 88 205115 Google Scholar
[15]	Nomura T, Harada Y, Niwa H, Ishii K, Ishikado M, Shamoto S, Jarrige I 2016 Phys. Rev. B 94 035134 Google Scholar
[16]	Wang R P, Hariki A, Sotnikov A, Frati F, Okamoto J, Huang H Y, Singh A, Huang D J, Tomiyasu K, Du C H, Kuneš J, de Groot F M F 2018 Phys. Rev. B 98 035149 Google Scholar
[17]	Moser S, Fatale S, Krüger P, Berger H, Bugnon P, Magrez A, Niwa H, Miyawaki J, Harada Y, Grioni M 2015 Phys. Rev. Lett. 115 096404 Google Scholar
[18]	Ament L J P, van Veenendaal M, van den Brink J 2011 Euro. Phys. Lett. 95 27008 Google Scholar
[19]	Ueda H, Garcia-Fernez M, Agrestini S, Romao C P, van den Brink J, Spaldin N A, Zhou K J, Staub U 2023 Nature 618 946 Google Scholar
[20]	Ghiringhelli G, Le Tacon M, Minola M, Blanco-Canosa S, Mazzoli C, Brookes N B, De Luca G M, Frano A, Hawthorn D G, He F, Loew T, Sala M M, Peets D C, Salluzzo M, Schierle E, Sutarto R, Sawatzky G A, Weschke E, Keimer B, Braicovich L 2012 Science 337 821 Google Scholar
[21]	Chaix L, Ghiringhelli G, Peng Y Y, Hashimoto M, Moritz B, Kummer K, Brookes N B, He Y, Chen S, Ishida S, Yoshida Y, Eisaki H, Salluzzo M, Braicovich L, Shen Z X, Devereaux T P, Lee W S 2017 Nat. Phys. 13 952 Google Scholar
[22]	Li J M, Nag A, Pelliciari J, Robarts H, Walters A, Garcia-Fernandez M, Eisaki H, Song D J, Ding H, Johnston S, Comin R, Zhou K J 2020 PNAS 117 16219 Google Scholar
[23]	Lee W S, Zhou K J, Hepting M, Li J, Nag A, Walters A C, Garcia-Fernandez M, Robarts H C, Hashimoto M, Lu H, Nosarzewski B, Song D, Eisaki H, Shen Z X, Moritz B, Zaanen J, Devereaux T P 2021 Nat. Phys. 17 53 Google Scholar
[24]	Comin R, Damascelli A 2016 Annu. Rev. Condens. Matter Phys. 7 369 Google Scholar
[25]	Zhang F C , Rice T M 1988 Phys. Rev. B 37 3759 Google Scholar
[26]	Pavarini E, Gasgupta I, Saha-Dasgupta T, Andersen O K 2001 Phys. Rev. Lett. 87 047003 Google Scholar
[27]	Sakakibara H, Usui H, Kuroki K, Arita R, Aoki H 2010 Phys. Rev. Lett. 105 057003 Google Scholar
[28]	Keimer B, Kivelson S A, Norman M R, Uchida S, Zaanen J 2015 Nature 518 179 Google Scholar
[29]	Kresin V Z, Morwitz H 1988 Phys. Rev. B 37 7854 Google Scholar
[30]	Ishii Y, Ruvalds J 1993 Phys. Rev. B 48 3455 Google Scholar
[31]	Bill A, Morawitz H, Kresin V Z 2003 Phys. Rev. B 68 144519 Google Scholar
[32]	Hepting M, Chaix L, Huang E W, Fumagalli R, Peng Y Y, Moritz B, Kummer K, Brookes N B, Lee W C, Hashimoto M, Sarkar T, He J F, Rotundu C R, Lee Y S, Greene R L, Braicovich L, Ghiringhelli G, Shen Z X, Devereaux T P, Lee W S 2018 Nature 563 374 Google Scholar
[33]	Lin J Q, Yuan J, Jin K, Yin Z P, Li G, Zhou K J, Lu X Y, Dantz M, Schmitt T, Ding H, Guo H Z, Dean M P M, Liu X R 2020 npj Quantum Mater. 5 4 Google Scholar
[34]	Nag A, Zhu M, Bejas M, Li J, Robarts H C, Yamase H, Petsch A N, Song D, Eisaki H, Walters A C, García-Fernández M, Greco A, Hayden S M, Zhou K J 2020 Phys. Rev. Lett. 125 257002 Google Scholar
[35]	Singh A, Huang H Y, Lane C, Li J. H, Okamoto J, Komiya S, Markiewicz R S, Bansil A, Lee T K, Fujimori A, Chen C T, Huang D J 2022 Phys. Rev. B 105 235105 Google Scholar
[36]	Hepting M, Bejas M, Nag A, Yamase H, Coppola N, Betto D, Falter C, Garcia-Fernandez M, Agrestini S, Zhou K J, Minola M, Sacco C, Maritato L, Orgiani P, Wei H I, Shen K M, Schlom D G, Galdi A, Greco A, Keimer B 2022 Phys. Rev. Lett. 129 047001 Google Scholar
[37]	Nag A, Zinni L, Choi J, Li J, Tu S J, Walters A. C, Agrestini S, Hayden S. M, Bejas M, Lin Z F, Yamase H, Jin K, García-Fernández M, Fink J, Greco A, Zhou K J 2024 arXiv: 2407.15692 [cond-mat.str-el]
[38]	Kim C, Matsuura A Y, Shen Z X, Motoyama N, Eisaki H, Uchida S, Tohyama T, Maekawa S 1996 Phys. Rev. Lett. 77 4054 Google Scholar
[39]	Kim B J, Koh H, Rotenberg E, Oh S J, Eisaki H, Motoyama N, Uchida S, Tohyama T, Maekawa S, Shen Z X, Kim C 2006 Nat. Phys. 2 397 Google Scholar
[40]	Martinelli L, Wohlfeld K, Pelliciari J, Arpaia R, Brookes N B, Castro D D, Fernandez M G, Kang M G, Krockenberger Y, Kummer K, McNally D E, Paris E, Schmitt T, Yamamoto H, Walters A, Zhou K J, Braicovich L, Comin R, Sala M M, Devereaux T P, Daghofer M, Ghiringhelli G 2024 Phys. Rev. Lett. 132 066004 Google Scholar
[41]	Kang S, Kim K, Kim B H, Kim J, Sim K I, Lee J U, Lee S, Park K, Yun S, Kim T, Nag A, Walters A, Garcia-Fernandez M, Li J M, Chapon L, Zhou K J, Son Y W, Kim J H, Cheong H, Park J G 2020 Nature 583 785 Google Scholar
[42]	He W, Shen Y, Wohlfeld K, Sears J, Li J, Pelliciari J, Walicki M, Johnston S, Baldini E, Bisogni V, Mitrano M, Dean M P M 2024 Nat. Commun. 15 3496 Google Scholar
[43]	Occhialini C A, Tseng Y, Elnaggar H, Song Q, Blei M, Tongay S A, Bisogni V, de Groot F M F, Pelliciari J, Comin R 2024 Phys. Rev. X 14 031007 Google Scholar
[44]	Li D, Lee K, Wang B Y, Osada M, Crossley S, Lee H R, Cui Y, Hikita Y, Hwang H Y 2019 Nature 572 624 Google Scholar
[45]	Hepting M, Li D, Jia C J, Lu H, Paris E, Tseng Y, Feng X, Osada M, Been E, Hikita Y, Chuang Y D, Hussain Z, Zhou K J, Nag A, Garcia-Fernandez M, Rossi M, Huang H Y, Huang D J, Shen Z X, Schmitt T, Hwang H Y, Moritz B, Zaanen J, Devereaux T P, Lee W S 2020 Nat. Mater. 19 381 Google Scholar
[46]	Bisogni V, Catalano S, Green R J, Gibert M, Scherwitzl R, Huang Y B, Strocov V N, Zubko P, Balandeh S, Triscone J M, Sawatzky G, Schmitt T 2016 Nat. Commun. 7 13017 Google Scholar
[47]	Lu Y, Betto D, Fürsich K, Suzuki H, Kim H H, Cristiani G, Logvenov G, Brookes N B, Benckiser E, Haverkort M W, Khaliullin G, Le Tacon M, Minola M, Keimer B 2018 Phys. Rev. X 8 031014 Google Scholar
[48]	Rossi M, Lu H, Nag A, Li D, Osada M, Lee K, Wang B Y, Agrestini S, Garcia-Fernandez M, Kas J J, Chuang Y D, Shen Z X, Hwang H Y, Moritz B, Zhou K J, Devereaux T P, Lee W S 2021 Phys. Rev. B 104 L220505 Google Scholar
[49]	Pan G A, Segedin D F, LaBollita H, Song Q, Nica E M, Goodge B H, Pierce A T, Doyle S, Novakov S, Carrizales D C, N’Diaye A T, Shafer P, Paik H, Heron J T, Mason J A, Yacoby A, Kourkoutis L F, Erten O, Brooks C M, Botana A S, Mundy J A 2022 Nat. Mater. 21 160 Google Scholar
[50]	Shen Y, Sears J, Fabbris G, Li J, Pelliciari J, Jarrige I, He X, Božović I, Mitrano M, Zhang J J, Mitchell J F, Botana A S, Bisogni V, Norman M R, Johnston S, Dean M P M 2022 Phys. Rev. X 12 011055 Google Scholar
[51]	Ortiz R A, Puphal P, Klett M, Hotz F, Kremer R K, Trepka H, Hemmida M, von Nidda H A K, Isobe M, Khasanov R, Luetkens H, Hansmann P, Keimer B, Schäfer T, Hepting M 2022 Phys. Rev. Res. 4 023093 Google Scholar
[52]	Lu H, Rossi M, Nag A, Osada M, Li D F, Lee K, Wang B Y, Garcia-Fernandez M, Agrestini S, Shen Z X, Been E M, Moritz B, Devereaux T P, Zaanen J, Hwang H Y, Zhou K J, Lee W S 2021 Science 373 213 Google Scholar
[53]	Headings N S, Hayden S M, Coldea R, Perring T G 2010 Phys. Rev. Lett. 105 247001 Google Scholar
[54]	Robarts H C, Garcia-Fernandez M, Li J, Nag A, Walters A C, Headings N E, Hayden S M, Zhou K J 2021 Phys. Rev. B 103 224427 Google Scholar
[55]	Tam C C, Choi J, Ding X, Agrestini S, Nag A, Wu M, Huang B, Luo H Q, Gao P, García-Fernández M, Qiao L, Zhou K J 2022 Nat. Mater. 21 1116 Google Scholar
[56]	Krieger G, Martinelli L, Zeng S, Chow L E, Kummer K, Arpaia R, Sala M M, Brookes N B, Ariando A, Viart N, Salluzzo M, Ghiringhelli G, Preziosi D 2022 Phys. Rev. Lett. 129 027002 Google Scholar
[57]	Rossi M Osada M, Choi J, Agrestini S, Jost D, Lee Y, Lu H Y, Wang B Y, Lee K, Nag A, Chuang Y D, Kuo C T, Lee S J, Moritz B, Devereaux T P, Shen Z X, Lee J S, Zhou K J, Hwang H Y, Lee W S 2022 Nat. Phys. 18 869 Google Scholar
[58]	Parzyck C T, Gupta N K, Wu Y, Anil V, Bhatt L, Bouliane M, Gong R, Gregory B Z, Luo A, Sutarto R, He F, Chuang Y D, Zhou T, Herranz G, Kourkoutis L F, Singer A, Schlom D G, Hawthorn D G, Shen K M 2024 Nat. Mater 23 486 Google Scholar
[59]	Rossi M, Lu H, Lee K, Goodge B H, Choi J, Osada M, Lee Y, Li D, Wang B Y, Jost D, Agrestini S, Garcia-Fernandez M, Shen Z X, Zhou K J, Been E, Moritz B, Kourkoutis L F, Devereaux T P, Hwang H Y, Lee W S 2024 Phys. Rev. B 109 024512 Google Scholar
[60]	Sun H L, Huo M W, Hu X W, Li J Y, Liu Z J, Han Y F, Tang L Y, Mao Z Q, Yang P T, Wang B S, Cheng J G, Yao D X, Zhang G M, Wang M 2023 Nature 621 493 Google Scholar
[61]	Luo Z H, Hu X W, Wang M, Wú W, Yao D X 2023 Phys. Rev. Lett. 131 126001 Google Scholar
[62]	Kaneko T, Sakakibara H, Ochi M, Kuroki K 2024 Phys. Rev. B 109 045154 Google Scholar
[63]	Yang Y F, Zhang G M, Zhang F C 2023 Phys. Rev. B 108 L201108 Google Scholar
[64]	Kakoki M, Oi T, Ohshita Y, Yashima M, Kuroki K, Kato T, Takahashi H, Ishiwata S, Adachi Y, Hatada N, Uda T, Mukuda H 2024 J. Phys. Soc. Jpn. 93 053702 Google Scholar
[65]	Dan Z, Zhou Y B, Huo M W, Wang Y, Nie L P, Wang M, Wu T, Chen X H 2024 arXiv: 2402.03952 [cond-mat.supr-con]
[66]	Chen K W, Liu X Q, Jiao J C, Zou M Y, Jiang C Y, Li X, Luo Y X, Wu Q, Zhang N Y, Guo Y F, Shu L 2024 Phys. Rev. Lett. 132 256503 Google Scholar
[67]	Khasanov R, Hicken T J, Gawryluk D J, Sorel L P, Bötzel S, Lechermann F, Eremin I M, Luetkens H, Guguchia Z 2024 arXiv: 2402.10485 [cond-mat.supr-con]
[68]	Chen X Y, Choi J, Jiang Z C, Mei J, Jiang K, Li J, Agrestini S, Garcia-Fernandez M, Huang X, Sun H L, Shen D W, Wang M, Hu J P, Lu Y, Zhou K J, Feng D L 2024 arXiv: 2401.12657 [cond-mat.supr-con]
[69]	Walters A C, Perring T G, Caux J S, Savici A T, Gu G D, Lee C C, Ku W, Zaliznyak I A 2009 Nat. Phys. 5 867 Google Scholar
[70]	Mourigal m, Enderle M, Klöpperpieper A, Caux J S, Stunault A, Rønnow H M 2013 Nat. Phys. 9 435 Google Scholar
[71]	Schlappa J, Kumar U, Zhou K J, Singh S, Mourigal M, Strocov V N, Revcolevschi A, Patthey L, Rønnow H M, Johnston S, Schmitt T 2018 Nat. Commun. 9 5394 Google Scholar
[72]	Kumar U, Nag A, Li J M, Robarts H C, Walters A C, García-Fernández M, Saint-Martin R, Revcolevschi A, Schlappa J, Schmitt T, Johnston S, Zhou K J 2022 Phys. Rev. B 106 L060406 Google Scholar
[73]	Nag A, Nocera A, Agrestini S, Garcia-Fernandez M, Walters A C, Cheong S W, Johnston S, Zhou K J 2022 Nat. Commun. 13 2327 Google Scholar
[74]	Xu G, Broholm C, Soh Y A, Aeppli G, DiTusa J F, Chen Y, Kenzelmann M, Frost C. D, Ito T, Oka K, Takagi H. 2007 Science 317 1049 Google Scholar
[75]	Nag A, Robarts H C, Wenzel F, Li J, Elnaggar H, Wang R P, Walters A C, García-Fernández M, de Groot F M F, Haverkort M W, Zhou K J 2020 Phys. Rev. Lett. 124 067202 Google Scholar
[76]	Li J M, Gu Y H, Takahashi Y, Higashi K, Kim T, Cheng Y, Yang F Y, Kuneš J, Pelliciari J, Hariki A, Bisogni V 2023 Phys. Rev. X 13 011012 Google Scholar
[77]	Elnaggar H, Nag A, Haverkort M W, Garcia-Fernandez M, Walters A, Wang R P, Zhou K J, de Groot F 2023 Nat. Commun. 14 2749 Google Scholar
[78]	Poelchen G, Hellwig J, Peters M, Usachov D Y, Kliemt K, Laubschat C, Echenique P M, Chulkov E V, Krellner C, Parkin S S P, Vyalikh D V, Ernst A, Kummer K 2023 Nat. Commun. 14 5422 Google Scholar
[79]	Brookes N B, Betto D, Cao K, Lu Y, Kummer K, Giustino F 2020 Phys. Rev. B 102 064412 Google Scholar
[80]	Pelliciari J, Lee S, Gilmore K, Li J M, Gu Y H, Barbour A, Jarrige I, Ahn C H, Walker F J, Bisogni V 2021 Nat. Mater. 20 188 Google Scholar
[81]	Bernevig B A, Felser C, Beldenkopf H 2022 Nature 603 41 Google Scholar
[82]	Lin Z Y, Choi J H, Zhang Q, Qin W, Yi S, Wang P D, Li L, Wang Y F, Zhang H, Sun Z, Wei L M, Zhang S B, Guo T F, Lu Q Y, Cho J H, Zeng C G, Zhang Z Y 2018 Phys. Rev. Lett. 121 096401 Google Scholar
[83]	Kang M G, Fang S A, Ye L D, Po H C, Denlinger J, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Checkelsky J G, Comin R 2020 Nat. Commun. 11 4004 Google Scholar
[84]	Liu Z H, Li M, Wang Q, Wang G W, Wen CH P, Jiang K, Lu X L, Yan S C, Huang Y B, Shen D W, Yin J X, Wang Z Q, Yin Z P, Lei H C, Wang S C 2020 Nat. Commun. 11 4002 Google Scholar
[85]	Yin J X, Zhang S S, Chang G, Wang Q, Tsirkin S S, Guguchia Z, Lian B, Zhou H B, Jiang K, Belopolski I, Shumiya N, Multer D, Litskevich M, Cochran T A, Lin H, Wang Z Q, Neupert T, Jia S, Lei H C, Hasan M Z 2019 Nat. Phys. 15 443 Google Scholar
[86]	Nag A, Peng Y R, Li J M, Agrestini S, Robarts H C, García-Fernández M, Walters A C, Wang Q, Yin Q W, Lei H C, Yin Z P, Zhou K J 2022 Nat. Commun. 13 7317 Google Scholar
[87]	Fatuzzo C G, Dantz M, Fatale S, Olalde-Velasco P, Shaik N E, Piazza B D, Toth S, Pelliciari J, Fittipaldi R, Vecchione A, Kikugawa N, Brooks J S, Rønnow H M, Grioni M, Rüegg Ch, Schmitt T, Chang J 2015 Phys. Rev. B 91 155104 Google Scholar
[88]	Das L, Forte F, Fittipaldi R, Fatuzzo C G, Granata V, Ivashko O, Horio M, Schindler F, Dantz M, Tseng Y, McNally D E, Rønnow H M, Wan W, Christensen N B, Pelliciari J, Olalde-Velasco P, Kikugawa N, Neupert T, Vecchione A, Schmitt T, Cuoco M, Chang J 2018 Phys. Rev. X 8 011048 Google Scholar
[89]	Lebert B W, Kim S, Bisogni V, Jarrige I, Barbour A M, Kim Y J 2020 J. Phys. Condens. Matter. 32 144001 Google Scholar
[90]	Occhialini C A, Bisogni V, You H, Barbour A, Jarrige I, Mitchell J F, Comin R, Jonathan Pelliciari 2021 Phys. Rev. Res. 3 033214 Google Scholar
[91]	von Arx K, Forte F, Horio M, Granata V, Wang Q, Das L, Sassa Y, Fittipaldi R, Fatuzzo C G, Ivashko O, Tseng Y, Paris E, Vecchione A, Schmitt T, Cuoco M, Chang J 2020 Phys. Rev. B 102 235104 Google Scholar
[92]	Lu X Y, Olalde-Velasco P, Huang Y B, Bisogni V, Pelliciari J, Fatale S, Dantz M, Vale J G, Hunter E C, Chang J, Strocov V N, Perry R S, Grioni M, McMorrow D F, Rønnow H M, Schmitt T 2018 Phys. Rev. B 97 041102 Google Scholar
[93]	Ament L J P, Khaliullin van den Brink J 2011 Phys. Rev. B 84 020403 Google Scholar
[94]	Moretti Sala M, Rossi M, Boseggia S, Akimitsu J, Brookes N B, Isobe M, Minola M, Okabe H, Rønnow H M, Simonelli L, McMorrow D F, Monaco G 2014 Phys. Rev. B 89 121101 Google Scholar
[95]	Zimmermann V, Kuma Yogi A, Wong D, Schulz C, Bartkowiak M, Habicht K, Wang L C, Isobe M, Minola M, Khaliullin G, Keimer B, Hepting N 2023 npj Quantum Mater. 8 53 Google Scholar
[96]	Paris E, Tseng Y, Pärschke E M, Zhang W L, Upton M H, Efimenko A, Rolfs K, McNally D E, Maurel L, Naamneh M, Caputo M, Strocov V N, Wang Z M, Casa D, Schneider C W, Pomjakushina E, Wohlfeld K, RadovicM, Schmitt T 2020 PNAS 117 24764 Google Scholar
[97]	Suzuki H, Gretarsson H, Ishikawa H, Ueda K, Yang Z, Liu H, Kim H, Kukusta D, Yaresko A, Minola M, Sears J A, Francoual S, Wille H C, Nuss J, Takagi H, Kim B J, Khaliullin G, Yavaş H, Keimer B. 2019 Nat. Mater. 18 563 Google Scholar
[98]	Yang Z C, Wang L C, Zhao D, Luo M D, Laha S, Güth A, Taniguchi T, Watanabe K, Lotsch B V, Smet J H, Minola M, Gretarsson H, Keimer B 2023 Phys. Rev. B 108 L041406 Google Scholar
[99]	Takahashi H, Suzuki H, Bertinshaw J, Bette S, Mühle C, Nuss J, Dinnebier R, Yaresko A, Khaliullin G, Gretarsson H, Takayama T, Takagi H, Keimer B 2021 Phys. Rev. Lett. 127 227201 Google Scholar
[100]	Qamar A, Braun P M, Walia S, Balendhran S, Rahman F, Kurmaev E Z, Moewes A 2022 Phys. Rev. Mater. 6 074003 Google Scholar
[101]	Kim J, Casa D, Upton M H, Gog T, Kim Y J, Mitchell J F, van Veenendaal M, Daghofer M, van den Brink J, Khaliullin G, Kim B J 2012 Phys. Rev. Lett. 108 177003 Google Scholar
[102]	Gretarsson H, Clancy J P, Liu X, Hill J P, Bozin E, Singh Y, Manni S, Gegenwart P, Kim J, Said A H, Casa D, Gog T, Upton M H, Kim H S, Yu J, Katukuri V M, Hozoi L, van den Brink J, Kim Y J 2013 Phys. Rev. Lett. 110 076402 Google Scholar
[103]	Kim J, Said A H, Casa D, Upton M H, Gog T, Daghofer M, Jackeli G, van den Brink J, Khaliullin G, Kim B J 2012 Phys. Rev. Lett. 109 157402 Google Scholar
[104]	Yuan B, Clancy J P, Cook A M, Thompson C M, Greedan J, Cao G, Jeon B C, Noh T W, Upton M H, Casa D, Gog T, Paramekanti A, Kim Y J 2017 Phys. Rev. B 95 235114 Google Scholar
[105]	Revelli A, Moretti Sala M, Monaco G, Becker P, Bohatý L, Hermanns M, Koethe T C, Fröhlich T, Warzanowski P, Lorenz T, Streltsov S V, van Loosdrecht P H M, Khomskii D I, van den Brink J, Grüninger M 2019 Sci. Adv. 5 aav4020 Google Scholar
[106]	Amorese A, Stockert O, Kummer K, Brookes N B, Kim D J, Fisk Z, Haverkort M W, Thalmeier O, Tjeng L H, Severing A 2019 Phys. Rev. B 100 241107 Google Scholar
[107]	Amorese A, Hansmann P, Marino A, Körner P, Willers T, Walters A, Zhou K J, Kummer K, Brookes N B, Lin H J, Chen C T, Lejay P, Haverkort M W, Tjeng L H, Severing A 2023 Phys. Rev. B 107 115164 Google Scholar
[108]	Kvashnina K O, Butorin S M, Martin P, Glatzel P 2013 Phys. Rev. Lett. 111 253002 Google Scholar
[109]	Lander G H, Sundermann M, Springell R, Walters A C, Nag A, Garcia-Fernandez M, Zhou K J, van der Laan G, Caciuffo R 2021 J. Phys. Condens. Matter. 33 06LT01 Google Scholar
[110]	de Groot F M F, Haverkort M W, Elnaggar H 2024 Nat. Rev. Methods Primers 4 45 Google Scholar
[111]	Brookes N B, Yakhou-Harris F, Kummer K 2018 NIMA 903 175 Google Scholar
[112]	Zhou K J, Walters A, Garcia-Fernandez M 2022 J. Synchrotron Radiat. 29 563 Google Scholar
[113]	Dvorak J, Jarrige I, Bisogni V 2016 Rev. Sci. Instrum. 87 115109 Google Scholar
[114]	Singh A, Huang H Y, Chu Y Y 2021 J. Synchrotron Radiat. 28 977 Google Scholar

施引文献

图 1 空穴掺杂铜氧超导体La_1.84Sr_0.16CuO₄和Bi₂Sr_1.6La_0.4CuO_6+d中三维类声学支等离子激发^[32]　(a)单层铜氧化物的结构示意图及RIXS散射几何结构; (b)单层铜氧化物的声学支等离子激发三维色散关系示意图; (c)空穴掺杂铜氧超导体La_1.84Sr_0.16CuO₄中类声学支等离子激发在l = 1.0时沿着h方向的色散关系, 其中绿色圆点和红色方块分别代表着等离子激发谱和双磁子激发谱的峰值; (d), (e)空穴掺杂铜氧超导体La_1.84Sr_0.16CuO₄和Bi₂Sr_1.6La_0.4CuO_6+d中类声学支等离子激发在h = 0.05时沿着l方向的色散关系, 其中绿色圆点和红色虚线分别代表等离子激发谱和双磁子激发谱的峰值

Fig. 1. Three-dimensional acoustic-like plasmons in hole-doped cuprate superconductors La_1.84Sr_0.16CuO₄ and Bi₂Sr_1.6La_0.4CuO_6+d^[32]: (a) Schematic crystal structure of a single-layered cuprate and the experimental geometry of RIXS; (b) the schematic view of three-dimensional acoustic-like plasmons in (E, q)-space in a single-layered cuprate superconductor; (c) the acoustic-like plasmon dispersion in the hole-doped La_1.84Sr_0.16CuO₄ along h direction at a fixed l = 1.0, where green dots and red squares represent the peak positions of plasmons and bi-magnons respectively; (d), (e) the acoustic-like plasmon dispersion in the hole-doped La_1.84Sr_0.16CuO₄ and Bi₂Sr_1.6La_0.4CuO_6+d along l direction at a fixed h = 0.05, green dots and red dashed lines represent the peak positions of plasmons and bi-magnons respectively.

下载: 全尺寸图片幻灯片

图 2 低维铜氧化物中的集体轨道激发　(a)一维铜氧化物Sr₂CuO₃的RIXS实验谱, 0—0.8 eV能量范围为双自旋子连续激发, 2—3 eV为轨道子激发^[13]; (b) 二维铜氧化物CaCuO₂的RIXS实验谱, d_xy和d_xz/d_yz轨道激发呈现色散行为^[40]; (c) 二维铜氧化物CaCuO₂的RIXS实验谱(图(b))二阶求导结果, d_xy表现出50 meV左右的色散^[40]; (d) 二维铜晶格中纯粹轨道超交换机制^[40]

Fig. 2. Collective orbital excitations in the low-dimensional copper-oxides: (a) Representative RIXS spectrum of a one-dimensional cuprate Sr₂CuO₃, the mode within 0–0.8 eV is the two-spinon continuum, the mode within 2–3 eV is the orbiton^[13]; (b) RIXS spectra of two-dimensional cuprate CaCuO₂ in which d_xyand d_xz/d_yz orbitals disperse in (E, q) space^[40]; (c) the second derivative of CaCuO₂ RIXS spectra shown in panel (b), the bandwidth of the d_xy orbital dispersion is about 50 meV^[40]; (d) pure orbital superexchange mechanism in two-dimensional copper lattice^[40].

下载: 全尺寸图片幻灯片

图 3 NiPS₃和NiBr₂中集体激子激发　(a) NiPS₃中自旋单重态激子激发¹A_1g沿着H方向的色散行为^[42]; (b) NiPS₃中自旋单重态激子激发¹A_1g沿着K方向的色散行为^[42]; (c) NiBr₂中自旋单重态激子激发¹A_1g沿着H方向的色散行为^[43]

Fig. 3. Collective exciton excitations in NiPS₃ and NiBr₂: (a) Dispersion behaviour of the spin-singlet exciton ¹A_1g in NiPS₃ along H direction^[42]; (b) the dispersion behaviour of the spin-singlet exciton ¹A_1g in NiPS₃ along K direction^[42]; (c) the dispersion behaviour of the spin-singlet exciton ¹A_1g in NiBr₂ along H direction^[43].

下载: 全尺寸图片幻灯片

图 4 NdNiO₂的电子结构　(a) NdNiO₂的费米能级附近态密度示意图^[45]; (b) NdNiO₂的Ni L₃-RIXS实验谱, 黑线为Ni L₃-XAS实验谱, 黑色虚线长方形标出Ni 3d- Nd 5d杂化dd峰^[45]; (c) Nd_1–xSr_xNiO₂ (x = 0, 0.225) Ni L₃-XAS实验结果^[48]; (d) Nd_1–xSr_xNiO₂自旋单重态和自旋三重态示意图; (e) Nd_1–xSr_xNiO₂自旋单重态和自旋三重态理论计算结果^[48]

Fig. 4. Electronic structure of NdNiO₂: (a) Schematic view of the density of states near Fermi level in NdNiO₂^[45]; (b) Ni L₃- energy-dependent RIXS spectra. The black solid line represents Ni L₃-XAS spectrum, and the black dashed rectangle highlights the hybridized dd peak between Ni 3d and Nd 5d orbitals^[45]; (c) the Ni L₃-XAS experimental spectra of Nd_1–xSr_xNiO₂ (x = 0, 0.225)^[48]; (d) schematic view of the spin-singlet and spin-triplet state in Nd_1–xSr_xNiO₂; (e) the theoretical calculation of the spin-singlet and spin-triplet XAS in Nd_1–xSr_xNiO₂^[48].

下载: 全尺寸图片幻灯片

图 5 (a) NdNiO₂和(b) La₂CuO₄中集体磁激发沿着动量空间高对称线的色散关系, 其中红色和蓝色实心圆点为磁激发拟合峰值, 虚线为线性自旋波拟合结果, 磁激发拟合峰值数据来源于文献[52,54]

Fig. 5. (a) NdNiO₂ and (b) La₂CuO₄ magnon dispersion along the high-symmetry direction in the momentum space. The red dots and blue dots represent the fitted peak positions of magnons. Dotted lines stand for the fitting result of the linear spin-wave theory^[52,54] .

下载: 全尺寸图片幻灯片

图 6 La₃Ni₂O₇的XAS和RIXS结果^[68]　(a), (b) La₃Ni₂O₇和参考样品(NdNiO₃, NiO)O K边和Ni L₃边的XAS谱对比, 所有的吸收谱均采用了σ线偏振入射光; (c), (d) Ni L₃边入射能量依赖的RIXS谱, 其中白色实线为对应线偏振模式下的XAS吸收谱; (e) Ni L₃边RIXS集体磁激发沿着动量空间高对称线的色散关系, 插图中的红色箭头标出了动量空间的高对称线, 图中红色实心圆点为磁激发拟合峰值

Fig. 6. Experimental XAS and RIXS spectra of La₃Ni₂O₇^[68]: (a), (b) The O K-XAS and Ni L₃-RIXS of La₃Ni₂O₇ as well as those from the references, all XAS spectra were taken using polarized X-rays; (c), (d) the Ni L₃-edge energy-dependent RIXS spectra using σ and πpolarization, the white solid lines represent the XAS spectra taken by the corresponding linear polarization in each configuration; (e) Ni L₃-RIXS magnon dispersion along the high-symmetry direction in the momentum space, the red arrows in the inset represent the scanning path, the red dots show the fitted peak positions of the magnons^[68].

下载: 全尺寸图片幻灯片

图 7 La₃Ni₂O₇的磁结构模型及自旋密度波^[68]　(a)自旋-电荷条纹相模型; (b)双自旋条纹相模型, 为简化模型, 示意图只显示了镍离子, 实线方格子为面内四方相晶格, 灰色立方体代表NiO₆八面体, 蓝色、红色、黑色圆点分别代表自旋向上Ni²⁺、自旋向下Ni²⁺以及Ni³⁺. 图中显示出的J₁S, J₂S, J_zS(垂直于双NiO₂面的超交换作用)为基于各个模型并结合RIXS磁激发的最佳拟合结果; (c)自旋密度波倒空间沿着(H, H)方向在不同线偏振入射光下的散射结果; (d)自旋密度波强度的温度依赖关系; (e)自旋密度波面内相干长度的温度依赖关系

Fig. 7. Magnetic structure of La₃Ni₂O₇ and the spin-density-wave (SDW) results^[68]: (a) Spin-charge stripe (Stripe-1); (b) double spin stripe (Stripe-2), to simplify the models, only Ni ions are shown in the schematic view, solid squares represent the in-plane tetragonal lattice, grey shaded cubes stand for NiO₆ octahedra, blue, red, and black dots represent spin-up Ni²⁺, spin-down Ni²⁺, and spinless Ni³⁺, respectively, J₁S, J₂S, J_zS which is the superexchange interaction perpendicular to the layer are also shown in the figure following the optimized fitting to the experimental data; (c) SDW along (H, H) direction probed by σ and πlinear polarized X-rays; (d) temperature dependence of SDW order parameter; (e) the correlation length of CDW as function of temperature.

下载: 全尺寸图片幻灯片

图 8 SrCuO₂一维自旋链RIXS磁激发^[72]　(a) SrCuO₂一维自旋链的结构及RIXS实验示意图, 入射光采用π线偏振光, RIXS散射角固定在146°; (b1), (b2) 氧K边及铜 L₃边RIXS实验谱, (b3), (b4)氧K边及铜 L₃边基于t-J哈密顿量和RIXS Kramer-Heisenberg散射截面理论计算结果; (c1), (c2)铜 L₃边基于t-J哈密顿量和RIXS Kramer-Heisenberg散射截面理论得出的SC及NSC两个通道的磁激发结果, (c3)对应的为多重磁激发积分谱权重(图(c1), (c2)红色虚线部分为积分区域), (c4) NSC和SC理论多重激发谱加权平均结果与实验对比; (d)磁激发谱在UCL近似下展开后其一阶项(d1), (d2)和二阶项(d3), (d4)结果

Fig. 8. RIXS magnon results in the one-dimensional SrCuO₂^[72]: (a) Schematic view of the lattice structure of SrCuO₂ and RIXS experimental geometry. Incident X-rays are πlinearly polarized. The scattering angle is fixed to 146°; (b1), (b2) O K- and Cu L₃- RIXS experimental spectra, (b3), (b4) theoretical calculations based on the Kramer-Heisenberg formula and t-J Hamiltonian; (c1), (c2) spin-conserving and Non-spin-conserving channels of calculated Cu L₃- RIXS spectra based on the Kramer-Heisenberg formula and t-J Hamiltonian, (c3) the spectral weight of multi-spinons in both SC and NSC channels integrated over the dotted red regions, (c4) the optimized sum of spectra weight with respect to the experimental data; (d) the first-order (d1), (d2) and the second-order (d3), (d4) component of the calculated spectra under the UCL approximation.

下载: 全尺寸图片幻灯片

图 9 Y₂BaNiO₅一维自旋链RIXS磁激发^[73]　(a) Y₂BaNiO₅一维自旋链沿着c轴链方向的Ni L₃边RIXS磁激发实验谱, 入射光采用π线偏振光, RIXS散射角固定在154°, 虚线为偶极磁激发色散关系$\omega^{2}(q_{//})=\varDelta_{\rm{H}}^{2}+v^{2} \sin ^{2} q_{//}+\alpha^{2} \cos ^{2}(q_{//}/2) $, 其中J = 24 meV, Δ_H = 0.41 J, v = 2.55 J, α = 1.1 J; (b)—(d)分别为基于密度矩阵重整化群理论计算得出的偶极磁激发ΔS₁, 四极磁激发 ΔS₂, 及自旋翻转为零多重磁激发ΔS₀, 其中(c)中的蓝色虚线标出了两个不相干的三重态激发的连续谱边界; (e) RIXS偶极磁激发和四极磁激发的示意图; (f) 一维Ni²⁺反铁磁自旋链的基态和偶极、四极、自旋翻转为零多重磁激发的示意图

Fig. 9. Ni L₃-RIXS magnon in one-dimensional spin-chain compound Y₂BaNiO₅^[73]: (a) Momentum-dependent RIXS experimental spectra along the c-axis chain direction, incident X-rays are πpolarized, RIXS scattering angle is fixed at 154°, dotted line represents the dipolar magnon with a dispersion relationship $\omega^{2}(q_{/ /})=\varDelta_{\rm{H}}^{2}+v^{2} \sin ^{2} q_{/ /}+\alpha^{2} \cos ^{2}(q_{/ /}/2) $ in which J = 24 meV, Δ_H = 0.41 J, v = 2.55 J, α = 1.1 J; (b)–(d) the calculated dipolar-magnon spectra ΔS₁, quadrupolar-magnon spectra ΔS₂, and the multi-magnon spectra ΔS₀, respectively, the blue dashed lines highlight the boundary of the two independent spin-triplet excitations; (e) the schematic view of the creation of dipolar and quadrupolar magnons in the RIXS process; (f) the schematic view of the ground state, the dipolar-magnon, the quadrupolar magnon, and the multiple magnon with net zero spin-flips in the one-dimensional Ni²⁺ antiferromagnetic spin chain.

下载: 全尺寸图片幻灯片

图 10 铁磁金属LaCo₂P₂和CeCo₂P₂中Co L₃边RIXS磁激发^[78]　(a) 铁磁金属LaCo₂P₂和CeCo₂P₂的晶体结构示意图, 紫色箭头为自旋方向; (b) 铁磁金属中自旋波与自旋翻转的斯托纳激发在能量-动量空间的色散关系, 当自旋波与斯托纳激发相互作用时发生展宽; (c) LaCo₂P₂和CeCo₂P₂有代表性的RIXS磁激发实验结果

Fig. 10. Co L₃-RIXS magnon experimental spectra in ferromagnetic LaCo₂P₂ and CeCo₂P₂^[78]: (a) Schematic view of the crystal structure of ferromagnetic LaCo₂P₂ and CeCo₂P₂, the purple arrows represent the spin direction; (b) spin-wave and the spin-flipped Stoner excitations in the energy-momentum space. Spin-wave becomes broadened when interacting with the Stoner excitations; (c) representative RIXS experimental spectra in LaCo₂P₂ and CeCo₂P₂.

下载: 全尺寸图片幻灯片

图 11 笼目晶格铁磁外尔半金属Co₃Sn₂S₂中Co L₃边RIXS自旋翻转平带斯托纳激发^[86]　(a) Co₃Sn₂S₂中六角CoSn平面结构、倒空间及RIXS实验示意图, 箭头标注Co自旋方向, 加粗实线标注了RIXS在动量空间的扫描路径, 入射光采用π线偏振光; (b) Co₃Sn₂S₂基于密度泛函理论计算得出的自旋向下的能带结构; (c) 自旋极化能带及自旋翻转斯托纳激发过程; (d) 对应于图(c)中自旋极化能带的自旋波和自旋翻转斯托纳激发谱示意图, 当能带变得扁平时, 对应的斯托纳激发也相应变窄; (e), (f) Co₃Sn₂S₂中Co L₃边RIXS自旋翻转平带斯托纳激发沿着h方向和l方向的色散关系; (g), (h)对应于图(e), (f)的基于密度泛函和动力学平均场理论得出的动态自旋关联函数

Fig. 11. Near flat-band Stoner excitations probed by Co L₃-RIXS in Kagome ferromagnetic Weyl metal Co₃Sn₂S₂: (a) The in-plane hexagonal CoSn structure, the corresponding reciprocal space, and the RIXS experimental geometry, the arrow on Co atoms represents the spin direction, the thick solid lines highlight the RIXS scanning path in the momentum space, the incident X-rays are π linearly polarized; (b) spin-down polarized band structure of Co₃Sn₂S₂ calculated by density functional theory; (c) schematic view of spin-polarized bands and the allowed spin-flip excitations in the momentum space; (d) the corresponding spin-flipped Stoner excitations, when the band becomes flat the corresponding Stoner excitations gets narrow; (e), (f) Co₃Sn₂S₂ Co L₃-RIXS experimental near flat-band Stoner excitations along h and l directions, respectively; (g), (h) the theoretical spin-spin dynamical susceptibility (spin-spin correlation function) along h and l directions calculated based on density functional theory and dynamical mean-field theory.

下载: 全尺寸图片幻灯片

[1]	Tokura Y, Kawasaki M, Nagaosa N 2017 Nat. Phys. 13 1056 Google Scholar
[2]	Yin J X, Lian B, Zahid Hasan M 2022 Nature 612 647 Google Scholar
[3]	Dresselhaus M S 2011 Annu. Rev. Condens. Matter Phys. 2 1 Google Scholar
[4]	Ohtomo A, Hwang H Y 2004 Nature 427 423 Google Scholar
[5]	Chen S F, Ning Y J, Tang C S, Dai L, Zeng S W, Han K, Zhou J, Yang M, Guo Y Q, Cai C B, Ariando A, Wee A T S, Yin X M 2024 Adv. Electron. Mater. 10 2300730 Google Scholar
[6]	Wang Q Y, Zhi L, Zhang W H 2012 Chin. Phys. Lett. 29 037402 Google Scholar
[7]	Ament L J P, van Veenendaal M, Devereaux T P 2011 Rev. Mod. Phys. 83 705 Google Scholar
[8]	Braicovich L, van den Brink L, Bisogni V, Sala M M, Ament L J P, Brookes N B, De Luca G M, Salluzzo M, Schmitt T, Strocov V N, Ghiringhelli G 2010 Phys. Rev. Lett. 104 077002 Google Scholar
[9]	Le Tacon M, Ghiringhelli G, Chaloupka J, Sala M M, Hinkov V, Haverkort M W, Minola M, Bakr M, Zhou K J, Blanco-Canosa S, Monney C, Song Y T, Sun G L, Lin C T, De Luca G M, Salluzzo M, Khaliullin G, Schmitt T, Braicovich L, Keimer B 2011 Nat. Phys. 7 725 Google Scholar
[10]	Zhou K J, Huang Y B, Monney C, Dai X, Strocov V N, Wang N L, Chen Z G, Zhang C L, Dai PC, Patthey L, van den Brink J, Ding H, Schmitt T 2013 Nat. Commun. 4 1470 Google Scholar
[11]	Haverkort M W 2010 Phys. Rev. Lett. 105 167404 Google Scholar
[12]	Glawion S, Heidler J, Haverkort M W, Duda L C, Schmitt T, Strocov V N, Monney C, Zhou K J, Ruff A, Sing M, Claessen R 2011 Phys. Rev. Lett. 107 107402 Google Scholar
[13]	Schlappa J, Wohlfeld K, Zhou K J 2012 Nature 485 82 Google Scholar
[14]	Benckiser E, Fels L, Ghiringhelli G, Sala M M, Schmitt T, Schlappa J, Strocov V N, Mufti N, Blake G R, Nugroho A A, Palstra T T M, Haverkort M W, Wohlfeld K, Grüninger M 2013 Phys. Rev. B 88 205115 Google Scholar
[15]	Nomura T, Harada Y, Niwa H, Ishii K, Ishikado M, Shamoto S, Jarrige I 2016 Phys. Rev. B 94 035134 Google Scholar
[16]	Wang R P, Hariki A, Sotnikov A, Frati F, Okamoto J, Huang H Y, Singh A, Huang D J, Tomiyasu K, Du C H, Kuneš J, de Groot F M F 2018 Phys. Rev. B 98 035149 Google Scholar
[17]	Moser S, Fatale S, Krüger P, Berger H, Bugnon P, Magrez A, Niwa H, Miyawaki J, Harada Y, Grioni M 2015 Phys. Rev. Lett. 115 096404 Google Scholar
[18]	Ament L J P, van Veenendaal M, van den Brink J 2011 Euro. Phys. Lett. 95 27008 Google Scholar
[19]	Ueda H, Garcia-Fernez M, Agrestini S, Romao C P, van den Brink J, Spaldin N A, Zhou K J, Staub U 2023 Nature 618 946 Google Scholar
[20]	Ghiringhelli G, Le Tacon M, Minola M, Blanco-Canosa S, Mazzoli C, Brookes N B, De Luca G M, Frano A, Hawthorn D G, He F, Loew T, Sala M M, Peets D C, Salluzzo M, Schierle E, Sutarto R, Sawatzky G A, Weschke E, Keimer B, Braicovich L 2012 Science 337 821 Google Scholar
[21]	Chaix L, Ghiringhelli G, Peng Y Y, Hashimoto M, Moritz B, Kummer K, Brookes N B, He Y, Chen S, Ishida S, Yoshida Y, Eisaki H, Salluzzo M, Braicovich L, Shen Z X, Devereaux T P, Lee W S 2017 Nat. Phys. 13 952 Google Scholar
[22]	Li J M, Nag A, Pelliciari J, Robarts H, Walters A, Garcia-Fernandez M, Eisaki H, Song D J, Ding H, Johnston S, Comin R, Zhou K J 2020 PNAS 117 16219 Google Scholar
[23]	Lee W S, Zhou K J, Hepting M, Li J, Nag A, Walters A C, Garcia-Fernandez M, Robarts H C, Hashimoto M, Lu H, Nosarzewski B, Song D, Eisaki H, Shen Z X, Moritz B, Zaanen J, Devereaux T P 2021 Nat. Phys. 17 53 Google Scholar
[24]	Comin R, Damascelli A 2016 Annu. Rev. Condens. Matter Phys. 7 369 Google Scholar
[25]	Zhang F C , Rice T M 1988 Phys. Rev. B 37 3759 Google Scholar
[26]	Pavarini E, Gasgupta I, Saha-Dasgupta T, Andersen O K 2001 Phys. Rev. Lett. 87 047003 Google Scholar
[27]	Sakakibara H, Usui H, Kuroki K, Arita R, Aoki H 2010 Phys. Rev. Lett. 105 057003 Google Scholar
[28]	Keimer B, Kivelson S A, Norman M R, Uchida S, Zaanen J 2015 Nature 518 179 Google Scholar
[29]	Kresin V Z, Morwitz H 1988 Phys. Rev. B 37 7854 Google Scholar
[30]	Ishii Y, Ruvalds J 1993 Phys. Rev. B 48 3455 Google Scholar
[31]	Bill A, Morawitz H, Kresin V Z 2003 Phys. Rev. B 68 144519 Google Scholar
[32]	Hepting M, Chaix L, Huang E W, Fumagalli R, Peng Y Y, Moritz B, Kummer K, Brookes N B, Lee W C, Hashimoto M, Sarkar T, He J F, Rotundu C R, Lee Y S, Greene R L, Braicovich L, Ghiringhelli G, Shen Z X, Devereaux T P, Lee W S 2018 Nature 563 374 Google Scholar
[33]	Lin J Q, Yuan J, Jin K, Yin Z P, Li G, Zhou K J, Lu X Y, Dantz M, Schmitt T, Ding H, Guo H Z, Dean M P M, Liu X R 2020 npj Quantum Mater. 5 4 Google Scholar
[34]	Nag A, Zhu M, Bejas M, Li J, Robarts H C, Yamase H, Petsch A N, Song D, Eisaki H, Walters A C, García-Fernández M, Greco A, Hayden S M, Zhou K J 2020 Phys. Rev. Lett. 125 257002 Google Scholar
[35]	Singh A, Huang H Y, Lane C, Li J. H, Okamoto J, Komiya S, Markiewicz R S, Bansil A, Lee T K, Fujimori A, Chen C T, Huang D J 2022 Phys. Rev. B 105 235105 Google Scholar
[36]	Hepting M, Bejas M, Nag A, Yamase H, Coppola N, Betto D, Falter C, Garcia-Fernandez M, Agrestini S, Zhou K J, Minola M, Sacco C, Maritato L, Orgiani P, Wei H I, Shen K M, Schlom D G, Galdi A, Greco A, Keimer B 2022 Phys. Rev. Lett. 129 047001 Google Scholar
[37]	Nag A, Zinni L, Choi J, Li J, Tu S J, Walters A. C, Agrestini S, Hayden S. M, Bejas M, Lin Z F, Yamase H, Jin K, García-Fernández M, Fink J, Greco A, Zhou K J 2024 arXiv: 2407.15692 [cond-mat.str-el]
[38]	Kim C, Matsuura A Y, Shen Z X, Motoyama N, Eisaki H, Uchida S, Tohyama T, Maekawa S 1996 Phys. Rev. Lett. 77 4054 Google Scholar
[39]	Kim B J, Koh H, Rotenberg E, Oh S J, Eisaki H, Motoyama N, Uchida S, Tohyama T, Maekawa S, Shen Z X, Kim C 2006 Nat. Phys. 2 397 Google Scholar
[40]	Martinelli L, Wohlfeld K, Pelliciari J, Arpaia R, Brookes N B, Castro D D, Fernandez M G, Kang M G, Krockenberger Y, Kummer K, McNally D E, Paris E, Schmitt T, Yamamoto H, Walters A, Zhou K J, Braicovich L, Comin R, Sala M M, Devereaux T P, Daghofer M, Ghiringhelli G 2024 Phys. Rev. Lett. 132 066004 Google Scholar
[41]	Kang S, Kim K, Kim B H, Kim J, Sim K I, Lee J U, Lee S, Park K, Yun S, Kim T, Nag A, Walters A, Garcia-Fernandez M, Li J M, Chapon L, Zhou K J, Son Y W, Kim J H, Cheong H, Park J G 2020 Nature 583 785 Google Scholar
[42]	He W, Shen Y, Wohlfeld K, Sears J, Li J, Pelliciari J, Walicki M, Johnston S, Baldini E, Bisogni V, Mitrano M, Dean M P M 2024 Nat. Commun. 15 3496 Google Scholar
[43]	Occhialini C A, Tseng Y, Elnaggar H, Song Q, Blei M, Tongay S A, Bisogni V, de Groot F M F, Pelliciari J, Comin R 2024 Phys. Rev. X 14 031007 Google Scholar
[44]	Li D, Lee K, Wang B Y, Osada M, Crossley S, Lee H R, Cui Y, Hikita Y, Hwang H Y 2019 Nature 572 624 Google Scholar
[45]	Hepting M, Li D, Jia C J, Lu H, Paris E, Tseng Y, Feng X, Osada M, Been E, Hikita Y, Chuang Y D, Hussain Z, Zhou K J, Nag A, Garcia-Fernandez M, Rossi M, Huang H Y, Huang D J, Shen Z X, Schmitt T, Hwang H Y, Moritz B, Zaanen J, Devereaux T P, Lee W S 2020 Nat. Mater. 19 381 Google Scholar
[46]	Bisogni V, Catalano S, Green R J, Gibert M, Scherwitzl R, Huang Y B, Strocov V N, Zubko P, Balandeh S, Triscone J M, Sawatzky G, Schmitt T 2016 Nat. Commun. 7 13017 Google Scholar
[47]	Lu Y, Betto D, Fürsich K, Suzuki H, Kim H H, Cristiani G, Logvenov G, Brookes N B, Benckiser E, Haverkort M W, Khaliullin G, Le Tacon M, Minola M, Keimer B 2018 Phys. Rev. X 8 031014 Google Scholar
[48]	Rossi M, Lu H, Nag A, Li D, Osada M, Lee K, Wang B Y, Agrestini S, Garcia-Fernandez M, Kas J J, Chuang Y D, Shen Z X, Hwang H Y, Moritz B, Zhou K J, Devereaux T P, Lee W S 2021 Phys. Rev. B 104 L220505 Google Scholar
[49]	Pan G A, Segedin D F, LaBollita H, Song Q, Nica E M, Goodge B H, Pierce A T, Doyle S, Novakov S, Carrizales D C, N’Diaye A T, Shafer P, Paik H, Heron J T, Mason J A, Yacoby A, Kourkoutis L F, Erten O, Brooks C M, Botana A S, Mundy J A 2022 Nat. Mater. 21 160 Google Scholar
[50]	Shen Y, Sears J, Fabbris G, Li J, Pelliciari J, Jarrige I, He X, Božović I, Mitrano M, Zhang J J, Mitchell J F, Botana A S, Bisogni V, Norman M R, Johnston S, Dean M P M 2022 Phys. Rev. X 12 011055 Google Scholar
[51]	Ortiz R A, Puphal P, Klett M, Hotz F, Kremer R K, Trepka H, Hemmida M, von Nidda H A K, Isobe M, Khasanov R, Luetkens H, Hansmann P, Keimer B, Schäfer T, Hepting M 2022 Phys. Rev. Res. 4 023093 Google Scholar
[52]	Lu H, Rossi M, Nag A, Osada M, Li D F, Lee K, Wang B Y, Garcia-Fernandez M, Agrestini S, Shen Z X, Been E M, Moritz B, Devereaux T P, Zaanen J, Hwang H Y, Zhou K J, Lee W S 2021 Science 373 213 Google Scholar
[53]	Headings N S, Hayden S M, Coldea R, Perring T G 2010 Phys. Rev. Lett. 105 247001 Google Scholar
[54]	Robarts H C, Garcia-Fernandez M, Li J, Nag A, Walters A C, Headings N E, Hayden S M, Zhou K J 2021 Phys. Rev. B 103 224427 Google Scholar
[55]	Tam C C, Choi J, Ding X, Agrestini S, Nag A, Wu M, Huang B, Luo H Q, Gao P, García-Fernández M, Qiao L, Zhou K J 2022 Nat. Mater. 21 1116 Google Scholar
[56]	Krieger G, Martinelli L, Zeng S, Chow L E, Kummer K, Arpaia R, Sala M M, Brookes N B, Ariando A, Viart N, Salluzzo M, Ghiringhelli G, Preziosi D 2022 Phys. Rev. Lett. 129 027002 Google Scholar
[57]	Rossi M Osada M, Choi J, Agrestini S, Jost D, Lee Y, Lu H Y, Wang B Y, Lee K, Nag A, Chuang Y D, Kuo C T, Lee S J, Moritz B, Devereaux T P, Shen Z X, Lee J S, Zhou K J, Hwang H Y, Lee W S 2022 Nat. Phys. 18 869 Google Scholar
[58]	Parzyck C T, Gupta N K, Wu Y, Anil V, Bhatt L, Bouliane M, Gong R, Gregory B Z, Luo A, Sutarto R, He F, Chuang Y D, Zhou T, Herranz G, Kourkoutis L F, Singer A, Schlom D G, Hawthorn D G, Shen K M 2024 Nat. Mater 23 486 Google Scholar
[59]	Rossi M, Lu H, Lee K, Goodge B H, Choi J, Osada M, Lee Y, Li D, Wang B Y, Jost D, Agrestini S, Garcia-Fernandez M, Shen Z X, Zhou K J, Been E, Moritz B, Kourkoutis L F, Devereaux T P, Hwang H Y, Lee W S 2024 Phys. Rev. B 109 024512 Google Scholar
[60]	Sun H L, Huo M W, Hu X W, Li J Y, Liu Z J, Han Y F, Tang L Y, Mao Z Q, Yang P T, Wang B S, Cheng J G, Yao D X, Zhang G M, Wang M 2023 Nature 621 493 Google Scholar
[61]	Luo Z H, Hu X W, Wang M, Wú W, Yao D X 2023 Phys. Rev. Lett. 131 126001 Google Scholar
[62]	Kaneko T, Sakakibara H, Ochi M, Kuroki K 2024 Phys. Rev. B 109 045154 Google Scholar
[63]	Yang Y F, Zhang G M, Zhang F C 2023 Phys. Rev. B 108 L201108 Google Scholar
[64]	Kakoki M, Oi T, Ohshita Y, Yashima M, Kuroki K, Kato T, Takahashi H, Ishiwata S, Adachi Y, Hatada N, Uda T, Mukuda H 2024 J. Phys. Soc. Jpn. 93 053702 Google Scholar
[65]	Dan Z, Zhou Y B, Huo M W, Wang Y, Nie L P, Wang M, Wu T, Chen X H 2024 arXiv: 2402.03952 [cond-mat.supr-con]
[66]	Chen K W, Liu X Q, Jiao J C, Zou M Y, Jiang C Y, Li X, Luo Y X, Wu Q, Zhang N Y, Guo Y F, Shu L 2024 Phys. Rev. Lett. 132 256503 Google Scholar
[67]	Khasanov R, Hicken T J, Gawryluk D J, Sorel L P, Bötzel S, Lechermann F, Eremin I M, Luetkens H, Guguchia Z 2024 arXiv: 2402.10485 [cond-mat.supr-con]
[68]	Chen X Y, Choi J, Jiang Z C, Mei J, Jiang K, Li J, Agrestini S, Garcia-Fernandez M, Huang X, Sun H L, Shen D W, Wang M, Hu J P, Lu Y, Zhou K J, Feng D L 2024 arXiv: 2401.12657 [cond-mat.supr-con]
[69]	Walters A C, Perring T G, Caux J S, Savici A T, Gu G D, Lee C C, Ku W, Zaliznyak I A 2009 Nat. Phys. 5 867 Google Scholar
[70]	Mourigal m, Enderle M, Klöpperpieper A, Caux J S, Stunault A, Rønnow H M 2013 Nat. Phys. 9 435 Google Scholar
[71]	Schlappa J, Kumar U, Zhou K J, Singh S, Mourigal M, Strocov V N, Revcolevschi A, Patthey L, Rønnow H M, Johnston S, Schmitt T 2018 Nat. Commun. 9 5394 Google Scholar
[72]	Kumar U, Nag A, Li J M, Robarts H C, Walters A C, García-Fernández M, Saint-Martin R, Revcolevschi A, Schlappa J, Schmitt T, Johnston S, Zhou K J 2022 Phys. Rev. B 106 L060406 Google Scholar
[73]	Nag A, Nocera A, Agrestini S, Garcia-Fernandez M, Walters A C, Cheong S W, Johnston S, Zhou K J 2022 Nat. Commun. 13 2327 Google Scholar
[74]	Xu G, Broholm C, Soh Y A, Aeppli G, DiTusa J F, Chen Y, Kenzelmann M, Frost C. D, Ito T, Oka K, Takagi H. 2007 Science 317 1049 Google Scholar
[75]	Nag A, Robarts H C, Wenzel F, Li J, Elnaggar H, Wang R P, Walters A C, García-Fernández M, de Groot F M F, Haverkort M W, Zhou K J 2020 Phys. Rev. Lett. 124 067202 Google Scholar
[76]	Li J M, Gu Y H, Takahashi Y, Higashi K, Kim T, Cheng Y, Yang F Y, Kuneš J, Pelliciari J, Hariki A, Bisogni V 2023 Phys. Rev. X 13 011012 Google Scholar
[77]	Elnaggar H, Nag A, Haverkort M W, Garcia-Fernandez M, Walters A, Wang R P, Zhou K J, de Groot F 2023 Nat. Commun. 14 2749 Google Scholar
[78]	Poelchen G, Hellwig J, Peters M, Usachov D Y, Kliemt K, Laubschat C, Echenique P M, Chulkov E V, Krellner C, Parkin S S P, Vyalikh D V, Ernst A, Kummer K 2023 Nat. Commun. 14 5422 Google Scholar
[79]	Brookes N B, Betto D, Cao K, Lu Y, Kummer K, Giustino F 2020 Phys. Rev. B 102 064412 Google Scholar
[80]	Pelliciari J, Lee S, Gilmore K, Li J M, Gu Y H, Barbour A, Jarrige I, Ahn C H, Walker F J, Bisogni V 2021 Nat. Mater. 20 188 Google Scholar
[81]	Bernevig B A, Felser C, Beldenkopf H 2022 Nature 603 41 Google Scholar
[82]	Lin Z Y, Choi J H, Zhang Q, Qin W, Yi S, Wang P D, Li L, Wang Y F, Zhang H, Sun Z, Wei L M, Zhang S B, Guo T F, Lu Q Y, Cho J H, Zeng C G, Zhang Z Y 2018 Phys. Rev. Lett. 121 096401 Google Scholar
[83]	Kang M G, Fang S A, Ye L D, Po H C, Denlinger J, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Checkelsky J G, Comin R 2020 Nat. Commun. 11 4004 Google Scholar
[84]	Liu Z H, Li M, Wang Q, Wang G W, Wen CH P, Jiang K, Lu X L, Yan S C, Huang Y B, Shen D W, Yin J X, Wang Z Q, Yin Z P, Lei H C, Wang S C 2020 Nat. Commun. 11 4002 Google Scholar
[85]	Yin J X, Zhang S S, Chang G, Wang Q, Tsirkin S S, Guguchia Z, Lian B, Zhou H B, Jiang K, Belopolski I, Shumiya N, Multer D, Litskevich M, Cochran T A, Lin H, Wang Z Q, Neupert T, Jia S, Lei H C, Hasan M Z 2019 Nat. Phys. 15 443 Google Scholar
[86]	Nag A, Peng Y R, Li J M, Agrestini S, Robarts H C, García-Fernández M, Walters A C, Wang Q, Yin Q W, Lei H C, Yin Z P, Zhou K J 2022 Nat. Commun. 13 7317 Google Scholar
[87]	Fatuzzo C G, Dantz M, Fatale S, Olalde-Velasco P, Shaik N E, Piazza B D, Toth S, Pelliciari J, Fittipaldi R, Vecchione A, Kikugawa N, Brooks J S, Rønnow H M, Grioni M, Rüegg Ch, Schmitt T, Chang J 2015 Phys. Rev. B 91 155104 Google Scholar
[88]	Das L, Forte F, Fittipaldi R, Fatuzzo C G, Granata V, Ivashko O, Horio M, Schindler F, Dantz M, Tseng Y, McNally D E, Rønnow H M, Wan W, Christensen N B, Pelliciari J, Olalde-Velasco P, Kikugawa N, Neupert T, Vecchione A, Schmitt T, Cuoco M, Chang J 2018 Phys. Rev. X 8 011048 Google Scholar
[89]	Lebert B W, Kim S, Bisogni V, Jarrige I, Barbour A M, Kim Y J 2020 J. Phys. Condens. Matter. 32 144001 Google Scholar
[90]	Occhialini C A, Bisogni V, You H, Barbour A, Jarrige I, Mitchell J F, Comin R, Jonathan Pelliciari 2021 Phys. Rev. Res. 3 033214 Google Scholar
[91]	von Arx K, Forte F, Horio M, Granata V, Wang Q, Das L, Sassa Y, Fittipaldi R, Fatuzzo C G, Ivashko O, Tseng Y, Paris E, Vecchione A, Schmitt T, Cuoco M, Chang J 2020 Phys. Rev. B 102 235104 Google Scholar
[92]	Lu X Y, Olalde-Velasco P, Huang Y B, Bisogni V, Pelliciari J, Fatale S, Dantz M, Vale J G, Hunter E C, Chang J, Strocov V N, Perry R S, Grioni M, McMorrow D F, Rønnow H M, Schmitt T 2018 Phys. Rev. B 97 041102 Google Scholar
[93]	Ament L J P, Khaliullin van den Brink J 2011 Phys. Rev. B 84 020403 Google Scholar
[94]	Moretti Sala M, Rossi M, Boseggia S, Akimitsu J, Brookes N B, Isobe M, Minola M, Okabe H, Rønnow H M, Simonelli L, McMorrow D F, Monaco G 2014 Phys. Rev. B 89 121101 Google Scholar
[95]	Zimmermann V, Kuma Yogi A, Wong D, Schulz C, Bartkowiak M, Habicht K, Wang L C, Isobe M, Minola M, Khaliullin G, Keimer B, Hepting N 2023 npj Quantum Mater. 8 53 Google Scholar
[96]	Paris E, Tseng Y, Pärschke E M, Zhang W L, Upton M H, Efimenko A, Rolfs K, McNally D E, Maurel L, Naamneh M, Caputo M, Strocov V N, Wang Z M, Casa D, Schneider C W, Pomjakushina E, Wohlfeld K, RadovicM, Schmitt T 2020 PNAS 117 24764 Google Scholar
[97]	Suzuki H, Gretarsson H, Ishikawa H, Ueda K, Yang Z, Liu H, Kim H, Kukusta D, Yaresko A, Minola M, Sears J A, Francoual S, Wille H C, Nuss J, Takagi H, Kim B J, Khaliullin G, Yavaş H, Keimer B. 2019 Nat. Mater. 18 563 Google Scholar
[98]	Yang Z C, Wang L C, Zhao D, Luo M D, Laha S, Güth A, Taniguchi T, Watanabe K, Lotsch B V, Smet J H, Minola M, Gretarsson H, Keimer B 2023 Phys. Rev. B 108 L041406 Google Scholar
[99]	Takahashi H, Suzuki H, Bertinshaw J, Bette S, Mühle C, Nuss J, Dinnebier R, Yaresko A, Khaliullin G, Gretarsson H, Takayama T, Takagi H, Keimer B 2021 Phys. Rev. Lett. 127 227201 Google Scholar
[100]	Qamar A, Braun P M, Walia S, Balendhran S, Rahman F, Kurmaev E Z, Moewes A 2022 Phys. Rev. Mater. 6 074003 Google Scholar
[101]	Kim J, Casa D, Upton M H, Gog T, Kim Y J, Mitchell J F, van Veenendaal M, Daghofer M, van den Brink J, Khaliullin G, Kim B J 2012 Phys. Rev. Lett. 108 177003 Google Scholar
[102]	Gretarsson H, Clancy J P, Liu X, Hill J P, Bozin E, Singh Y, Manni S, Gegenwart P, Kim J, Said A H, Casa D, Gog T, Upton M H, Kim H S, Yu J, Katukuri V M, Hozoi L, van den Brink J, Kim Y J 2013 Phys. Rev. Lett. 110 076402 Google Scholar
[103]	Kim J, Said A H, Casa D, Upton M H, Gog T, Daghofer M, Jackeli G, van den Brink J, Khaliullin G, Kim B J 2012 Phys. Rev. Lett. 109 157402 Google Scholar
[104]	Yuan B, Clancy J P, Cook A M, Thompson C M, Greedan J, Cao G, Jeon B C, Noh T W, Upton M H, Casa D, Gog T, Paramekanti A, Kim Y J 2017 Phys. Rev. B 95 235114 Google Scholar
[105]	Revelli A, Moretti Sala M, Monaco G, Becker P, Bohatý L, Hermanns M, Koethe T C, Fröhlich T, Warzanowski P, Lorenz T, Streltsov S V, van Loosdrecht P H M, Khomskii D I, van den Brink J, Grüninger M 2019 Sci. Adv. 5 aav4020 Google Scholar
[106]	Amorese A, Stockert O, Kummer K, Brookes N B, Kim D J, Fisk Z, Haverkort M W, Thalmeier O, Tjeng L H, Severing A 2019 Phys. Rev. B 100 241107 Google Scholar
[107]	Amorese A, Hansmann P, Marino A, Körner P, Willers T, Walters A, Zhou K J, Kummer K, Brookes N B, Lin H J, Chen C T, Lejay P, Haverkort M W, Tjeng L H, Severing A 2023 Phys. Rev. B 107 115164 Google Scholar
[108]	Kvashnina K O, Butorin S M, Martin P, Glatzel P 2013 Phys. Rev. Lett. 111 253002 Google Scholar
[109]	Lander G H, Sundermann M, Springell R, Walters A C, Nag A, Garcia-Fernandez M, Zhou K J, van der Laan G, Caciuffo R 2021 J. Phys. Condens. Matter. 33 06LT01 Google Scholar
[110]	de Groot F M F, Haverkort M W, Elnaggar H 2024 Nat. Rev. Methods Primers 4 45 Google Scholar
[111]	Brookes N B, Yakhou-Harris F, Kummer K 2018 NIMA 903 175 Google Scholar
[112]	Zhou K J, Walters A, Garcia-Fernandez M 2022 J. Synchrotron Radiat. 29 563 Google Scholar
[113]	Dvorak J, Jarrige I, Bisogni V 2016 Rev. Sci. Instrum. 87 115109 Google Scholar
[114]	Singh A, Huang H Y, Chu Y Y 2021 J. Synchrotron Radiat. 28 977 Google Scholar

[1]	李齐治, 张世龙, 彭莹莹. 铜氧超导材料电荷密度波和元激发的共振非弹性X射线散射研究. 物理学报, 2024, 73(19): 197401. doi: 10.7498/aps.73.20240983
[2]	赵林, 刘国东, 周兴江. 高温超导体电子结构和超导机理的角分辨光电子能谱研究. 物理学报, 2021, 70(1): 017406. doi: 10.7498/aps.70.20201913
[3]	王海波, 罗震林, 刘清青, 靳常青, 高琛, 张丽. 共振X射线衍射研究高温超导Sr₂CuO_3.4晶体中的调制结构. 物理学报, 2019, 68(18): 187401. doi: 10.7498/aps.68.20190494
[4]	赵林, 刘国东, 周兴江. 铁基高温超导体电子结构的角分辨光电子能谱研究. 物理学报, 2018, 67(20): 207413. doi: 10.7498/aps.67.20181768
[5]	龚冬良, 罗会仟. 铁基超导体中的反铁磁序和自旋动力学. 物理学报, 2018, 67(20): 207407. doi: 10.7498/aps.67.20181543
[6]	王萌, 欧云波, 李坊森, 张文号, 汤辰佳, 王立莉, 薛其坤, 马旭村. SrTiO3(001)衬底上单层FeSe超导薄膜的分子束外延生长. 物理学报, 2014, 63(2): 027401. doi: 10.7498/aps.63.027401
[7]	郝颖萍, 陈祥磊, 成斌, 孔伟, 许红霞, 杜淮江, 叶邦角. SmFeAsO材料的正电子寿命研究. 物理学报, 2010, 59(4): 2789-2794. doi: 10.7498/aps.59.2789
[8]	黎欢, 郭卫. 自旋极化对Kondo系统基态的影响. 物理学报, 2010, 59(10): 7320-7326. doi: 10.7498/aps.59.7320
[9]	刘学超, 陈之战, 施尔畏, 严成锋, 黄维, 宋力昕, 周克瑾, 崔明启, 贺博, 韦世强. Co掺杂ZnO薄膜的局域结构和电荷转移特性研究. 物理学报, 2009, 58(1): 498-504. doi: 10.7498/aps.58.498
[10]	赵宏伟, 孟豪, 张凌峰, 查国桥, 周世平. 欠掺杂高温超导体中的涡旋电荷结构相变. 物理学报, 2009, 58(6): 4189-4193. doi: 10.7498/aps.58.4189
[11]	左涛, 赵新杰, 王小坤, 岳宏卫, 方兰, 阎少林. LaAlO3衬底高温超导线性相位滤波器. 物理学报, 2009, 58(6): 4194-4198. doi: 10.7498/aps.58.4194
[12]	尤育新, 赵志刚, 王进, 刘楣. 高温超导体中约瑟夫森涡旋流阻的振荡效应. 物理学报, 2008, 57(11): 7252-7256. doi: 10.7498/aps.57.7252
[13]	郑蕾, 蒋成保, 尚家香, 朱小溪, 徐惠彬. 立方结构Fe基磁性材料弹性系数第一性原理计算. 物理学报, 2007, 56(3): 1532-1537. doi: 10.7498/aps.56.1532
[14]	吴炳国, 赵志刚, 尤育新, 刘楣. 二维约瑟夫森结阵列中的相变及噪声频谱研究. 物理学报, 2007, 56(3): 1680-1685. doi: 10.7498/aps.56.1680
[15]	梁芳营, 刘洪, 李英骏. 高温超导的压力效应研究. 物理学报, 2006, 55(7): 3683-3687. doi: 10.7498/aps.55.3683
[16]	张玉龙, 姚忻, 张宏, 金燕苹. YBCO熔融织构准单晶中的进氧和脱氧扩散研究. 物理学报, 2005, 54(7): 3380-3385. doi: 10.7498/aps.54.3380
[17]	周世平, 瞿海, 廖红印. 高温超导混合配对态与磁通涡旋格子. 物理学报, 2002, 51(10): 2355-2361. doi: 10.7498/aps.51.2355
[18]	曹天德, 黄清龙. 二分量高温超导机理. 物理学报, 2002, 51(7): 1600-1603. doi: 10.7498/aps.51.1600
[19]	徐克西. 非平衡辐射响应与准二维高温超导体系的磁通涡旋激发. 物理学报, 2000, 49(5): 989-996. doi: 10.7498/aps.49.989
[20]	赵俊卿, 魏建华, 王守国, 解士杰, 梅良模. 非闭环结构下有机磁性材料中的自旋密度波性质. 物理学报, 1999, 48(6): 1163-1169. doi: 10.7498/aps.48.1163

计量

文章访问数: 839
PDF下载量: 54
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板

共振非弹性X射线散射在量子材料领域的应用