Doping effects of Kagome superconductor AV3Sb5 (A = K, Rb, Cs)

Li Yong-Kai; Liu Jin-Jin; Zhang Xin; Zhu Peng; Yang Liu; Zhang Yu-Qi; Wu Huang-Yu; Wang Zhi-Wei

doi:10.7498/aps.73.20231954

Abstract

Material with Kagome lattice provides an excellent platform for studying electronic correlation effects, topological states of matter, unconventional superconductivity, and geometric frustration. The recently discovered Kagome superconductors AV₃Sb₅ (A = K, Rb, Cs) have attracted widespread attention in the field of condensed matter physics, and many efforts have been made to elucidate their novel physical properties, such as charge density wave, unconventional superconductivity, and band topology. Meanwhile, many groups have effectively tuned these novel properties through chemical doping, offering a good opportunity for further understanding the materials of this system. In this paper, we comprehensively review the latest research progress of the doping effect of this rapidly developed AV₃Sb₅ system, with the objective of further promoting the in-depth research into Kagome superconductor. Specifically, we review the chemical doping in CsV₃Sb₅ with elements such as Nb, Ta, Ti, and Sn, and the surface doping with elements Cs or O as well, and describe their influences on the novel quantum properties, especially superconductivity, charge density wave, and electronic band structure of the material. Furthermore, the intricate physical mechanism of doping manipulation is discussed, in order to provide a basic knowledge for further understanding and studying the rich quantum effects of the system, such as charge density waves, time reversal symmetry breaking, and superconductivity.

Keywords:

Authors and contacts

1.
Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement, School of Physics, Beijing Institute of Technology, Beijing 100081, China
2.
Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing 314019, China
3.
Beijing Key Lab of Nanophotonics and Ultrafine Optoelectronic Systems, Beijing Institute of Technology, Beijing 100081, China
4.
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Science, Beijing 100190, China

Corresponding author: Wang Zhi-Wei, zhiweiwang@bit.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 92065109), the National Key Research and Development Program of China (Grant Nos. 2020YFA0308800, 2022YFA1403401), and the Key Research Program of Beijing Municipal Fund, China (Grant No. Z210006).

FullText HTML : translate this paragraph

References

[1]	Syozi I 1951 Prog. Theor. Phys. 6 306 Google Scholar
[2]	Villain J, Bidaux R, Carton J P, et al. 1980 Phys. France 41 1263 Google Scholar
[3]	Helton J S, Matan K, Shores M P, Nytko E A, Bartlett B M, Yoshida Y, Takano Y, Suslov A, Qiu Y, Chung J H, Nocera D G, Lee Y S 2007 Phys. Rev. Lett. 98 107204 Google Scholar
[4]	Ran Y, Hermele M, Patrick A L, Wen X G 2007 Phys. Rev. Lett. 98 117205 Google Scholar
[5]	Jiang H C, Weng Z Y, Sheng D N 2008 Phys. Rev. Lett. 101 117203 Google Scholar
[6]	Zhou Y, Kanoda K, Ng T K 2017 Rev. Mod. Phys. 89 025003
[7]	Balents L 2010 Nature 464 199 Google Scholar
[8]	Yan S, Huse D A, White S R 2011 Science 332 1173 Google Scholar
[9]	Norman M R 2016 Rev. Mod. Phys. 88 041002 Google Scholar
[10]	Broholm C, Cava R J, Kivelson S A, Nocera D G, Norman M R, Senthil T 2020 Science 367 eaay0668 Google Scholar
[11]	Depenbrock S, McCulloch I P, Schollwock U 2012 Phys. Rev. Lett. 109 067201 Google Scholar
[12]	Liao H J, Xie Z Y, Chen J, Liu Z Y, Xie H D, Huang R Z, Normand B, Xiang T 2017 Phys. Rev. Lett. 118 137202 Google Scholar
[13]	Ortiz B R, Gomes L C, Morey J R, Winiarski M, Bordelon M, Mangum J S, Oswald I W H, Rodriguez-Rivera J A, Neilson J R, Wilson S D, Ertekin E, McQueen T M, Toberer E S 2019 Phys. Rev. Mater. 3 094407 Google Scholar
[14]	Ortiz B R, Teicher S, Hu Y, Zuo J L, Sarte P M, Schueller E C, Milinda Abeykoon A M, Krogstad M J, Rosenkranz S, Osborn R, Seshadri R, Balents L, He J F, Wilson S D 2020 Phys. Rev. Lett. 125 247002 Google Scholar
[15]	Mu C, Yin Q W, Tu Z J, Gong C S, Lei H C, Li Z, Luo J L 2021 Chin. Phys. Lett. 38 077402 Google Scholar
[16]	Luo H L, Gao Q, Liu H X, Gu Y H, Wu D S, Yi C J, Jia J J, Wu S L, Luo X Y, Xu Y, Zhao L, Wang Q Y, Mao H Q, Liu G D, Zhu Z H, Shi Y G, Jiang K, Hu J P, Xu Z Y, Zhou X J 2022 Nat. Commun. 13 273 Google Scholar
[17]	Xu H S, Yan Y J, Yin R T, Xia W, Fang S J, Chen Z Y, Li Y J, Yang W Q, Guo Y F, Feng D L 2021 Phys. Rev. Lett. 127 187004 Google Scholar
[18]	Xu J P, Wang M X, Liu Z Y, Ge J F, Yang X J, Liu C H, Xu Z A, Guan D D, Gao C L, Qian D, Liu Y, Wang Q H, Zhang F C, Xue Q K, Jia J F 2015 Phys. Rev. Lett. 114 017001 Google Scholar
[19]	Chen H, Yang H T, Hu B, Zhao Z, Yuan J, Xing Y Q, Qian G J, Huang Z H, Li G, Ye Y H, Ma S, Ni S L, Zhang H, Yin Q W, Gong C S, Tu Z J, Lei H C, Tan H X, Zhou S, Shen C M, Dong X L, Yan B H, Wang Z Q, Gao H J 2021 Nature 599 222 Google Scholar
[20]	Hamidian M H, Edkins S D, Joo S H, Kostin A, Eisaki H, Uchida S, Lawler M J, Kim E A, Mackenzie A P, Fujita K, Lee J, Séamus Davis J C 2016 Nature 532 343 Google Scholar
[21]	Edkins S D, Kostin A, Fujita K, Mackenzie A P, Eisaki H, Uchida S, Sachdev S, Lawler M J, Kim E A, Séamus Davis J C, Hamidian M H 2019 Science 364 976 Google Scholar
[22]	Lou R, Fedorov A, Yin Q W, Kuibarov A, Tu Z J, Gong C S, Schwier E F, Büchner B, Lei H C, Borisenko S 2022 Phys. Rev. Lett. 128 036402 Google Scholar
[23]	Kang M G, Fang S A, Kim J K, Ortiz B R, Ryu S H, Kim J, Yoo J, Sangiovanni G, Di Sante D, Park B G, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Wilson S D, Park J H, Comin R 2022 Nat. Phys. 18 301 Google Scholar
[24]	Kato T, Li Y, Kawakami T, et al. 2022 Commun. Mater. 3 30 Google Scholar
[25]	Cho S Y, Ma H Y, Xia W, Yang Y C, Liu Z T, Huang Z, Jiang Z C, Lu X L, Liu J S, Liu Z H, Li J, Wang J H, Liu Y, Jia J F, Guo Y F, Liu J P, Shen D W 2021 Phys. Rev. Lett. 127 236401 Google Scholar
[26]	Nakayama K, Li Y K, Kato T, Liu M, Wang Z W, Takahashi T, Yao Y G, Sato T 2021 Phys. Rev. B 104 L161112 Google Scholar
[27]	Hu Y, Teicher S M, Ortiz B R, Luo Y, Peng S T, Huai L W, Ma J Z, Plumb N C, Wilson S D, He J F, Shi M 2022 Sci. Bull. 67 495 Google Scholar
[28]	Liu Z H, Zhao N N, Yin Q W, Gong C S, Tu Z J, Li M, Song W H, Liu Z T, Shen D W, Huang Y B, Liu K, Lei H C, Wang S C 2021 Phys. Rev. X 11 041010
[29]	Ortiz B R, Teicher S M L, Kautzsch L, Sarte P M, Ratcliff N, Harter J, Ruff J P C, Seshadri R, Wilson S D 2021 Phys. Rev. X 11 041030
[30]	Ortiz B R, Sarte P M, Kenney E M, Graf M J, Teicher Samuel M L, Seshadri R, Wilson S D 2021 Phys. Rev. Mater. 5 034801 Google Scholar
[31]	Yin Q W, Tu Z J, Gong C S, Fu Y, Yan S H, Lei H C 2021 Chin. Phys. Lett. 38 037403 Google Scholar
[32]	Jiang Y X, Yin J X, Denner M M, Shumiya N, Ortiz B R, Xu G, Guguchia Z, He J Y, Shafayat Hossain M, Liu X X, Ruff J, Kautzsch L, Zhang S T, Chang G Q, Belopolski I, Zhang Q, Cochran T A, Multer D, Litskevich M, Cheng Z J, Yang X P, Wang Z Q, Thomale R, Neupert T, Wilson S D, Hasan M Z 2021 Nat. Mater. 20 1353 Google Scholar
[33]	Wang Z W, Jiang Y X, Yin J X, Li Y K, Wang G Y, Huang H L, Shao S, Liu J J, Zhu P, Shumiya N, Hossain M S, Liu H X, Shi Y G, Duan J X, Li X, Chang G Q, Dai P C, Ye Z J, Xu G, Wang Y C, Zheng H, Jia J F, Hasan M Z, Yao Y G 2021 Phys. Rev. B 104 075148 Google Scholar
[34]	Xie Y F, Li Y K, Bourges P, Ivanov A, Ye Z J, Yin J X, Hasan M Z, Luo A Y, Yao Y G, Wang Z W, Xu G, Dai P C 2022 Phys. Rev. B 105 L140501 Google Scholar
[35]	Mielke C, Das D, Yin J X, Liu H, Gupta R, Jiang Y-X, Medarde M, Wu X, Lei H C, Chang J, Dai P C, Si Q, Miao H, Thomale R, Neupert T, Shi Y, Khasanov R, Hasan M Z, Luetkens H, Guguchia Z 2022 Nature 602 245 Google Scholar
[36]	Yang S Y, Wang Y, Ortiz B R, et al. 2020 Sci. Adv. 6 eabb6003 Google Scholar
[37]	Yu F H, Wu T, Wang Z Y, Lei B, Zhuo W Z, Ying J J, Chen X H 2021 Phys. Rev. B 104 L041103 Google Scholar
[38]	Yu L, Wang C, Zhang Y, et al. 2021 arXiv: 2107.10714 [cond-mat. supr-con]
[39]	Kenney E M, Ortiz B R, Wang C N, Wilson S D, Graf M J 2021 J. Phys. : Condens. Matter 33 235801
[40]	Feng X L, Jiang K, Wang Z, Hu J P 2021 Sci. Bull. 66 1384 Google Scholar
[41]	Feng X L, Zhang Y, Jiang K, Hu J P 2021 Phys. Rev. B 104 165136 Google Scholar
[42]	Li H Z, Wan S Y, Li H, Li Q, Gu Q Q, Yang H, Li Y K, Wang Z W, Yao Y G, Wen H H 2022 Phys. Rev. B 105 045102
[43]	Xiang Y, Li Q, Li Y K, Xie W, Yang H, Wang Z W, Yao Y G, Wen H H 2021 Nat. Commun. 12 6727 Google Scholar
[44]	Ni S L, Ma S, Zhang Y H, Yuan J, Yang H T, Lu Z Y W, Wang N N, Sun J P, Zhao Z, Li D, Liu S B, Zhang H, Chen H, Jin K, Cheng J G, Yu L, Zhou F, Dong X L, Hu J P, Gao H J, Zhao Z X 2021 Chin. Phys. Lett. 38 057403 Google Scholar
[45]	Li H X, Zhang T T, Pai Y Y, Marvinney C E, Said A, Yin Q W, Gong C S, Tu Z J, Vescovo E, Nelson C S, Moore R G, Murakami S, Lei H C, Lee H N, Lawrie B J, Miao H 2021 Phys. Rev. X 11 031050
[46]	Li Y K, Li Q, Fan X W, Liu J J, Feng Q, Liu M, Wang C L, Yin J X, Duan J X, Li X, Wang Z W, Wen H H, Yao Y G 2022 Phys. Rev. B 105 L180507 Google Scholar
[47]	Zhong Y G, Liu J J, Wu X X, Guguchia Z, Yin J X, Mine A, Li Y K, Najafzadeh S, Das D, Mielke C, Khasanov R, Luetkens H, Suzuki T, Liu K C, Han X L, Kondo T, Hu J P, Shin S, Wang Z W, Shi X, Yao Y G, Okazaki K 2023 Nature 617 488 Google Scholar
[48]	Liu M, Han T X, Hu X R, Huon A, Lee H N, Said A, Lei H C, Ortiz B R, Wilson S D, Yin J X, Hasan M Z, Wang Z Q, Tan H X, Yan B H 2022 Phys. Rev. B 106 L140501 Google Scholar
[49]	Kato T, Li Y K, Nakayama K, Wang Z W, Souma S, Matsui F, Kitamura M, Horiba K, Kumigashira H, Takahashi T, Yao Y G, Sato T 2022 Phys. Rev. Lett. 129 206402 Google Scholar
[50]	Miao H, Li H, Meier W R, Huon A, Lee H N, Said A, Lei H C, Ortiz B R, Wilson S D, Yin J X, Hasan M Z, Wang Z Q, Tan H X, Yan B H 2021 Phys. Rev. B 104 195132 Google Scholar
[51]	Xiao Q, Li Q Z, Liu J J, Li Y K, Xia W, Zheng X Q, Guo Y F, Wang Z W, Peng Y Y 2023 Phys. Rev. Mater. 7 074801 Google Scholar
[52]	Liu Y, Wang Y, Cai Y, Hao Z Y, Ma X M, Wang L, Liu C, Chen J, Zhou L, Wang J H, Wang S M, He H T, Liu Y, Cui S T, Wang J F, Huang B, Chen C Y, Mei J W 2021 arXiv: 2110.12651 [cond-mat. supr-con]
[53]	Yang H T, Huang Z H, Zhang Y H, Zhao Z, Shi J N, Luo H L, Zhao L, Qian G J, Tan H X, Hu B, Zhu K, Lu Z Y W, Zhang H, Sun J P, Cheng J G, Shen C M, Lin X, Yan B H, Zhou X J, Wang Z Q, Pennycook S J, Chen H, Dong X L, Zhou W, Gao H J 2022 Sci. Bull. 67 2176 Google Scholar
[54]	Ding G F, Wo H L, Gu Y Q, Gu Y M, Zhao J 2022 Phys. Rev. B 106 235151 Google Scholar
[55]	Kautzsch L, Oey Y M, Li H, Ren Z, Ortiz B R, Pokharel G, Seshadri R, Ruff J, Kongruengkit T, Harter J W, Wang Z Q, Zeljkovic I, Wilson S D 2023 npj Quantum Mater. 8 37 Google Scholar
[56]	Oey Y M, Ortiz B R, Kaboudvand F, Frassineti J, Garcia E, Cong R, Sanna S, Mitrović V F, Seshadri R, Wilson S D 2022 Phys. Rev. Mater. 6 L041801 Google Scholar
[57]	Li H, Zhao H, Ortiz B R, Wang Z Q, Wilson S D, Zeljkovic I 2023 Nat. Phys. 19 637 Google Scholar
[58]	Oey Y M, Kaboudvand F, Ortiz B R, Seshadri R, Wilson S D 2022 Phys. Rev. Mater. 6 074802 Google Scholar
[59]	Liu Y, Liu C C, Zhu Q Q, Ji L W, Wu S Q, Sun Y L, Bao J K, Jiao W H, Xu X F, Ren Z, Cao G H 2022 Phys. Rev. Mater. 6 124803 Google Scholar
[60]	Zhang Z Y, Chen Z, Zhou Y, Yuan Y F, Wang S Y, Wang J, Yang H Y, An C, Zhang L L, Zhu X D, Zhou Y H, Chen X L, Zhou J H, Yang Z R 2021 Phys. Rev. B 103 224513 Google Scholar
[61]	Du F, Li R, Luo S S, Gong Y, Li Y C, Jiang S, Ortiz B R, Liu Y, Xu X F, Wilson S D, Cao C, Song Y, Yuan H Q 2022 Phys. Rev. B 106 024516 Google Scholar
[62]	Chen K Y, Wang N N, Yin Q W, Gu Y H, Jiang K, Tu Z J, Gong C S, Uwatoko Y, Sun J P, Lei H C, Hu J P, Cheng J G 2021 Phys. Rev. Lett. 126 247001 Google Scholar
[63]	Yu F H, Ma D H, Zhuo W Z, Liu S Q, Wen X K, Lei B, Ying J J, Chen X H 2021 Nat. Commun. 12 3645 Google Scholar
[64]	Du F, Luo S S, Ortiz B R, Chen Y, Duan W Y, Zhang D T, Lu X, Wilson S D, Song Y, Yuan H Q 2021 Phys. Rev. B 103 L220504 Google Scholar
[65]	Zhang J F, Liu K, Lu Z Y 2021 Phys. Rev. B 104 195130 Google Scholar
[66]	Chen X, Zhan X H, Wang X J, Deng J, Liu X B, Chen X, Guo J G, Chen X L 2021 Chin. Phys. Lett. 38 057402 Google Scholar
[67]	Zhu C C, Yang X F, Xia W, Yin Q W, Wang L S, Zhao C C, Dai D Z, Tu C P, Song B Q, Tao Z C, Tu Z J, Gong C S, Lei H C, Guo Y F, Li S Y 2022 Phys. Rev. B 105 094507 Google Scholar
[68]	LaBollita H, Botana A S 2021 Phys. Rev. B 104 205129 Google Scholar
[69]	Ortiz B R, Salinas A N C, Knudtson M J, Sarte P M, Pokahrel G, Wilson S D 2023 Phys. Rev. Mater. 7 014801 Google Scholar
[70]	Nakayama K, Li Y K, Kato T, Kato T, Liu M, Wang Z H, Takahashi T, Yao Y G, Sato T 2022 Phys. Rev. X 12 011001
[71]	Song Y, Ying T, Chen X, Han X, Wu, X X, Schnyder A P, Huang Y, Guo J G, Chen X L 2021 Phys. Rev. Lett. 127 237001 Google Scholar

Cited By

图 1 (a) Kagome晶格结构示意图; (b) AV₃Sb₅ (A = K, Rb, Cs)晶格结构示意图, V原子构成Kagome层

Figure 1. (a) Schematic diagram of the Kagome lattice structure; (b) Lattice structure of the AV₃Sb₅ (A = K, Rb, Cs), vanadium atoms constitute the Kagome lattice.

DownLoad: Full-Size Img PowerPoint

图 2 (a)低温不同磁场下CsV₃Sb₅电阻率的温度依赖关系^[14]; (b)磁场平行于a轴时, CsV₃Sb₅奈特位移的温度依赖关系^[15]; (c)低温下自旋晶格弛豫率的 Hebel-Slicheter共振峰^[15]; (d)在CsV₃Sb₅的Cs表面(左图) 和Sb表面(右图)观察到的两种超导能隙谱^[17]; (e) CsV₃Sb₅的STM原子形貌的傅里叶变换, 粉色圈中Q_4/3a处的峰对应PDW相^[19].

Figure 2. (a) Temperature-dependent resistivity at low temperature for CsV₃Sb₅ under various magnetic fields^[14]; (b) temperature dependence of the Knight shift for CsV₃Sb₅^[15]; (c) Hebel-Slicheter resonance peak of the spin lattice relaxation rate at low temperature^[15]; (d) two kinds of superconducting gap spectra observed on the half-Cs surface (left image) and half-Sb surface (right image) for CsV₃Sb₅^[17]; (e) Fourier transformation of atomically resolved STM topography for CsV₃Sb₅, the pink cycle at Q_4/3a shows the PDW phase^[19].

DownLoad: Full-Size Img PowerPoint

图 3 (a) DFT计算的CsV₃Sb₅能带结构^[14]; (b) ARPES观察到的沿ΓKM方向的电子能带结构^[26]; (c) Sb表面形貌图的傅里叶变换, 显示2×2电荷序(红色阴影区域)和1×4电荷序^[33]; (d) 覆盖从局域跃迁机制到偏斜散射机制的σ_AHE与σ_xx关系图, 包含多种材料与CsV₃Sb₅和K_1–xV₃Sb₅的对比^[37]; (e)手性磁通相的局域轨道磁矩分布及电荷分布^[40]; (f) KV₃Sb₅的拉曼光谱, 低温条件下在25.4 meV和27.5 meV时观察到两种新的声子模式^[45]; (g)外加0.4 T和5 T磁场时, 不同温度下c轴方向的电阻率随测量角度的依赖关系^[43]

Figure 3. (a) Band structure of CsV₃Sb₅ calculated by DFT^[14]; (b) ARPES intensity as a function of wave vector and binding energy measured along the ΓKM^[26]; (c) Fourier transform of an Sb topographic image, showing 2×2 charge order vector peaks (red shaded area), and 1×4 vector peaks along Q₁ direction^[33]; (d) plot of σ_AHE versus σ_xx for a variety of materials compared with CsV₃Sb₅ and K_1–xV₃Sb₅ spanning various regimes from the localized hopping regime to the skew scattering regime^[37]; (e) local orbital magnetic moment distribution and charge distribution of chiral flux phase^[40]; (f) Raman spectroscopy for KV₃Sb₅; two new phonon modes at 25.4 and 27.5 meV are observed below 30 K^[45]; (g) angular dependent c-axis resistivity measured at different temperatures under magnetic fields of 0.4 and 5 T^[43] .

DownLoad: Full-Size Img PowerPoint

图 4 (a)从1.8 K到300 K, Cs(V_1–xNb_x)₃Sb₅的面内电阻率的温度依赖关系^[46]; (b) Cs(V_1–xNb_x)₃Sb₅的相图, 表明了CDW和超导之间的竞争关系^[46]; (c)温度为5 K时, 去除线性正常霍尔背底后提取的反常霍尔电阻率^[46]; (d)第一性原理计算得到的CsV₃Sb₅和Cs(V_0.93Nb_0.07)₃Sb₅的电子能带结构; (e)上图和中图分别为CsV₃Sb₅和Cs(V_0.93Nb_0.07)₃Sb₅沿ΓKM方向切割的ARPES强度图, 下图为拟合点的对比图^[49]

Figure 4. (a) Temperature dependence of in-plane resistivity measured from 300 to 1.8 K for Cs(V_1–xNb_x)₃Sb₅^[46]; (b) phase diagram of Cs(V_1–xNb_x)₃Sb₅, which illustrates the competition between CDW and superconductivity^[46]; (c) extracted $ {\rho }_{yx}^{{\mathrm{A}}{\mathrm{H}}{\mathrm{E}}} $ taken by subtracting the local linear ordinary Hall background at 5 K^[46]; (d) the electronic structure of CsV₃Sb₅ and Cs(V_0.93Nb_0.07)₃Sb₅ obtained through first principle calculation^[46]; (e) the upper and middle figures show the ARPES intensity maps of CsV₃Sb₅ and Cs(V_0.93Nb_0.07) ₃Sb₅ along ΓKM, while the lower figure shows a comparison of the fitting points^[49].

DownLoad: Full-Size Img PowerPoint

图 5 (a)在1.8—300 K范围内测得的Cs(V_1–xTa_x)₃Sb₅面内电阻率的温度依赖关系, 插图显示了CDW转变温度; (b)超导转变温度附近Cs(V_1–xTa_x)₃Sb₅的ρ(T)曲线放大图; (c) Cs(V_1–xTa_x)₃Sb₅的相图; (d), (e)不同掺杂浓度Cs(V_1–xTa_x)₃Sb₅ 的X射线散射强度, 其中(d)为H-切割(左图沿[–2.5, 0.5, –13.5], 右图沿[–1, 0.5, –15.5]), (e)为L-切割(左图沿[–2.5, 0.5, L] , 右图沿[–1, 0.5, L])^[51]

Figure 5. (a) Temperature dependence of in-plane resistivity measured from 1.8 K to 300 K for Cs(V_1–xTa_x)₃Sb₅, where the inset shows dρ/dT as a function of temperature near the CDW transition. (b) Zoomed-in views of the ρ(T) curves near the superconductivity transition temperatures for Cs(V_1–xTa_x)₃Sb₅. (c) Schematic phase diagrams of Cs(V_1–xTa_x)₃Sb₅^[48]. (d), (e) X-ray scattering intensity of Cs(V_1–xTa_x)₃Sb₅ with different doping concentrations: the (d) H-cut (left image along [–2.5, 0.5, –13.5], right image along [–1, 0.5, –15.5]) and (e) L-cut (left image along [–2.5, 0.5, L], right image along [–1, 0.5, L])^[51].

DownLoad: Full-Size Img PowerPoint

图 6 (a), (b) Cs(V_0.93Nb_0.07)₃Sb₅和Cs(V_0.86Ta_0.14)₃Sb₅样品超导能隙的动量依赖关系示意图; (c) T_CDW, T_c与晶格膨胀率的依赖关系的相图, 晶格膨胀率是由于化学替代引起的; (d) T_c以下和以上Cs(V_0.86Ta_0.14)₃Sb₅的零场µSR时间谱; (e)零场μ子自旋弛豫率在T_c附近的温度依赖关系; 表明在CDW被完全抑制时, Cs(V_0.86Ta_0.14)₃Sb₅的超导电性具有时间反演对称性破缺的特性^[47]

Figure 6. (a), (b) Schematic momentum dependence of the SC gap magnitude of the Cs(V_0.93Nb_0.07)₃Sb₅ and Cs(V_0.86Ta_0.14)₃Sb₅ samples, respectively; (c) schematic phase diagram in which T_CDW and T_c are plotted as function of the lattice expansion due to the chemical substitutions; (d) zero-Field (ZF) µSR time spectra for Cs(V_0.86Ta_0.14)₃Sb₅ below and above T_c; (e) temperature dependence of the zero-field muon spin relaxation rate in the temperature range across T_c, which indicates that time-reversal symmetry breaking in the superconducting state of the Cs(V_0.86Ta_0.14)₃Sb₅ sample with CDW fully suppressed^[47].

DownLoad: Full-Size Img PowerPoint

图 7 (a), (b) Cs(V_0.987Ti_0.013)₃Sb₅和Cs(V_0.95Ti_0.05)₃Sb₅样品Sb表面电子态的傅里叶变换, 前者存在2×2的 CDW态, 后者CDW态消失^[53]; (c)第一性原理计算得到的Cs(V_1–xTi_x)₃Sb₅能带结构^[53]; (d), (e)两课题组得到的Cs(V_1–xTi_x)₃Sb₅的相图^[52,53]; (f)在CsV₃Sb₅(黑色曲线)和CsV_3–xTi_xSb₅ (x = 0.03, 0.04, 0.15和0.27分别对应于蓝色、绿色和深绿色曲线)样品的Sb表面上获得的空间平均dI/dV谱, 随着Ti掺杂从V形变为U形^[53]

Figure 7. (a), (b) Fourier transform was performed on the Sb surface electronic states of Cs(V_0.987Ti_0.013)₃Sb₅ and Cs(V_0.95Ti_0.05)₃Sb₅, the former shows the presence of 2×2 CDW states and the latter disappearing^[53]; (c) the bands of Cs(V_1–xTi_x)₃Sb₅ by first-principles calculations^[53]; (d), (e) phase diagrams of Cs(V_1–xTi_x)₃Sb₅ for two research groups^[52,53]; (f) spatially-averaged dI/dV spectra obtained on the Sb surfaces of the CsV₃Sb₅ (black curve) and CsV_3–xTi_xSb₅ samples (x = 0.03, 0.04, 0.15 and 0.27, corresponding to blue, green, and dark green curves, respectively), showing a transition from V-shape to U-shape symmetry through Ti substitution^[53]

DownLoad: Full-Size Img PowerPoint

图 8 (a) Cs(V_1–xCr_x)₃Sb₅的电子掺杂相图^[54]; (b)通过减去5 K的线性霍尔背底提取Cs(V_1–xCr_x)₃Sb₅ (x = 0到x = 0.09)样品的反常霍尔电阻率^[54]; (c) CsV_3–xMo_xSb₅的相图^[48]

Figure 8. (a) Electron doping phase diagram Cs(V_1–xCr_x)₃Sb₅^[54]; (b) the extracted anomalous Hall resistivity by subtracting the local linear ordinary Hall background at 5 K for chromium doping content from x = 0 to x = 0.09^[54]; (c) the electron doping phase diagram CsV_3–xMo_xSb₅^[48].

DownLoad: Full-Size Img PowerPoint

图 9 (a) CsV₃Sb_5–xSn_x(x ≤ 0.06)的dM/dT随温度依赖曲线, CDW转变温度随着Sn掺杂降低, 高浓度Sn掺杂样品CDW转变消失^[56]; (b) CsV₃Sb₄Sn的能带结构, 其中一个位于Kagome平面内的Sb原子被Sn取代^[56]; (c) CsV₃Sb₄Sn的能带结构, 其中一个位于Kagome平面外的Sb原子被Sn取代^[56]; (d)—(f)在T = 11 K时CsV₃Sb_5–xSn_x样品的X射线散射强度图, 其中(d)和(e)分别是x = 0.025样品(H, K, 1.5)和(H, 1.5, L)平面的X射线散射强度图, (f) x = 0.15样品(H, K, –0.5)平面的X射线散射强度图^[55]

Figure 9. (a) dM/dT -T for CsV₃Sb_5–xSn_x (x ≤ 0.06), show a decrease in CDW transition temperature, and this transition disappears for higher Sn concentration^[56]; (b) calculation of the band structure of CsV₃Sb₄Sn where one Sn has been substituted within the Kagome layer^[56]; (c) calculation of the band structure of CsV₃Sb₄Sn where one Sn has been substituted at a Sb site outside of the Kagome layer^[56]; (d)–(f) X-ray scattering intensities for CsV₃Sb_5–xSn_x samples at 11 K, in which (d) and (e) are the X-ray scattering intensity in (H, K, 1.5)-plane and (H, 1.5, L)-plane, respectively, for the x = 0.025 sample, while (f) is the X-ray scattering intensities in the (H, K, –0.5)-plane for the x = 0.15 sample^[55].

DownLoad: Full-Size Img PowerPoint

图 10 (a) CsV₃Sb_5–xSn_x的空穴掺杂相图^[56]; (b)高压下CsV₃Sb₅的相图^[63]; (c) CsV₃Sb₅样品超导转变温度的压强依赖关系^[63]; (d) T = 0 K时上临界场的压强依赖性^[63]; (e)能带结构随空穴掺杂的演变和(f)两个范霍夫奇点相对于费米能级的位置^[68]; (g) CsV₃Sb₅和CsV₃(Sb_0.977As_0.023)₅电阻率的温度依赖性; (h)超导转变温度附近的放大图; (i)在CDW转变温度附近的电阻率的导数^[59]

Figure 10. (a) Hole-doping phase diagram for CsV₃Sb_5–xSn_x^[56]; (b) phase diagram of CsV₃Sb₅ under high pressure^[63]; (c) pressure dependence of superconducting transition temperature for CsV₃Sb₅ samples^[63]; (d) the pressure dependence of the upper critical field at T = 0 K^[63]; (e) evolution of energy band structure with hole doping and (f) the position of two van Hove singularities relative to Fermi level^[68]; (g) temperature dependence of resistivity for CsV₃Sb₅ and CsV₃(Sb_0.977As_0.023)₅; (h) amplification around the superconducting transition; (i) the derivative of resistivity around the CDW transition^[59].

DownLoad: Full-Size Img PowerPoint

图 11 (a), (b) K_xRb_yCs_zV₃Sb₅ (x + y + z = 1)样品的 (a) CDW转变和(b)超导转变三元相图: 使用dM(T )/dT数据中的峰值提取到CDW转变温度T_CDW; 使用电输运数据中零电阻率点提取超导转变温度T_c. (c), (d)将K_xRb_yCs_zV₃Sb₅(x+y+z =1)样品的 (c) T_CDW和 (d) T_c与KV₃Sb₅, RbV₃Sb₅和CsV₃Sb₅三种母体的转变温度按照掺杂比例线性插值的数据进行比较^[69]

Figure 11. (a) CDW transition and (b) superconducting transition ternary phase diagram of K_xRb_yCs_zV₃Sb₅ (x + y + z = 1). The CDW transition temperature T_CDW data extracted using the peak in the d(MT )/dT data, the superconducting transition temperature T_c data extracted using zero resistivity points from electrical transport data. The (c) T_CDW and (d) T_c of K_xRb_yCs_zV₃Sb₅ (x + y + z = 1) is compared with the linear interpolation of transition temperature of the parent KV₃Sb₅, RbV₃Sb₅, and CsV₃Sb₅^[69].

DownLoad: Full-Size Img PowerPoint

图 12 (a) CsV₃Sb₅的能带结构, 不同颜色代表了不同轨道能带的特征; (b)母体和Cs处理后样品在Γ点附近的ARPES强度的比较^[70]; (c)在T = 120 K沿ΓKM方向测得的ARPES强度与波矢、结合能的依赖关系; (d)与(c)相同, 但是Cs处理后的样品; (e) CsV₃Sb₅随空穴掺杂含量变化的相图^[71]

Figure 12. (a) Band structure of CsV₃Sb₅, the orbital characters of different bands are represented by different colors; (b) comparison of the ARPES intensity around the Γ point between pristine and Cs-dosed samples^[70]; (c) ARPES intensity as a function of wave vector and binding energy, measured at T = 120 K along the ΓKM for pristine sample; (d) the same as (c), but for Cs-dosed sample; (e) phase diagram of CsV₃Sb₅ with the variation of hole-doping content^[71].

DownLoad: Full-Size Img PowerPoint

表 1 不同位置、不同元素掺杂CsV₃Sb₅ 的掺杂效应

Table 1. Doping effect of CsV₃Sb₅ by different elements on different atomic sites.

掺杂位置	掺杂元素	电荷密度波	超导	反常霍尔效应	能带结构及费米面位置变化	掺杂类型	掺杂极限/%
V	Nb	抑制	增强	抑制	Γ点电子口袋扩张, 范霍夫奇点上移	等价掺杂	7
V	Ta	抑制	增强	抑制	Γ点电子口袋扩张, 范霍夫奇点上移	等价掺杂	14
V	Ti	抑制	待定	抑制	费米面降低, Γ点电子口袋减小, 范霍夫奇点上移	空穴	10
V	Mo	增强	抑制	—	—	电子	3.5
V	Cr	抑制	抑制	抑制	—	电子	25
Sb	Sn	抑制	双穹顶状	—	费米面降低, Γ点电子口袋减小, 范霍夫奇点上移	空穴	20
Sb	As	抑制	增强	抑制	—	等价掺杂	2.3
Cs	K	抑制	抑制	—	—	等价掺杂	100
Cs	Rb	抑制	增强	—	—	等价掺杂	100
表面	Cs	抑制	—	—	费米面上升, Γ点电子口袋扩张	电子	—
表面	O	抑制	穹顶状	—	范霍夫奇点上移, Γ点电子口袋减小	空穴	—

DownLoad: CSV

[1]	Syozi I 1951 Prog. Theor. Phys. 6 306 Google Scholar
[2]	Villain J, Bidaux R, Carton J P, et al. 1980 Phys. France 41 1263 Google Scholar
[3]	Helton J S, Matan K, Shores M P, Nytko E A, Bartlett B M, Yoshida Y, Takano Y, Suslov A, Qiu Y, Chung J H, Nocera D G, Lee Y S 2007 Phys. Rev. Lett. 98 107204 Google Scholar
[4]	Ran Y, Hermele M, Patrick A L, Wen X G 2007 Phys. Rev. Lett. 98 117205 Google Scholar
[5]	Jiang H C, Weng Z Y, Sheng D N 2008 Phys. Rev. Lett. 101 117203 Google Scholar
[6]	Zhou Y, Kanoda K, Ng T K 2017 Rev. Mod. Phys. 89 025003
[7]	Balents L 2010 Nature 464 199 Google Scholar
[8]	Yan S, Huse D A, White S R 2011 Science 332 1173 Google Scholar
[9]	Norman M R 2016 Rev. Mod. Phys. 88 041002 Google Scholar
[10]	Broholm C, Cava R J, Kivelson S A, Nocera D G, Norman M R, Senthil T 2020 Science 367 eaay0668 Google Scholar
[11]	Depenbrock S, McCulloch I P, Schollwock U 2012 Phys. Rev. Lett. 109 067201 Google Scholar
[12]	Liao H J, Xie Z Y, Chen J, Liu Z Y, Xie H D, Huang R Z, Normand B, Xiang T 2017 Phys. Rev. Lett. 118 137202 Google Scholar
[13]	Ortiz B R, Gomes L C, Morey J R, Winiarski M, Bordelon M, Mangum J S, Oswald I W H, Rodriguez-Rivera J A, Neilson J R, Wilson S D, Ertekin E, McQueen T M, Toberer E S 2019 Phys. Rev. Mater. 3 094407 Google Scholar
[14]	Ortiz B R, Teicher S, Hu Y, Zuo J L, Sarte P M, Schueller E C, Milinda Abeykoon A M, Krogstad M J, Rosenkranz S, Osborn R, Seshadri R, Balents L, He J F, Wilson S D 2020 Phys. Rev. Lett. 125 247002 Google Scholar
[15]	Mu C, Yin Q W, Tu Z J, Gong C S, Lei H C, Li Z, Luo J L 2021 Chin. Phys. Lett. 38 077402 Google Scholar
[16]	Luo H L, Gao Q, Liu H X, Gu Y H, Wu D S, Yi C J, Jia J J, Wu S L, Luo X Y, Xu Y, Zhao L, Wang Q Y, Mao H Q, Liu G D, Zhu Z H, Shi Y G, Jiang K, Hu J P, Xu Z Y, Zhou X J 2022 Nat. Commun. 13 273 Google Scholar
[17]	Xu H S, Yan Y J, Yin R T, Xia W, Fang S J, Chen Z Y, Li Y J, Yang W Q, Guo Y F, Feng D L 2021 Phys. Rev. Lett. 127 187004 Google Scholar
[18]	Xu J P, Wang M X, Liu Z Y, Ge J F, Yang X J, Liu C H, Xu Z A, Guan D D, Gao C L, Qian D, Liu Y, Wang Q H, Zhang F C, Xue Q K, Jia J F 2015 Phys. Rev. Lett. 114 017001 Google Scholar
[19]	Chen H, Yang H T, Hu B, Zhao Z, Yuan J, Xing Y Q, Qian G J, Huang Z H, Li G, Ye Y H, Ma S, Ni S L, Zhang H, Yin Q W, Gong C S, Tu Z J, Lei H C, Tan H X, Zhou S, Shen C M, Dong X L, Yan B H, Wang Z Q, Gao H J 2021 Nature 599 222 Google Scholar
[20]	Hamidian M H, Edkins S D, Joo S H, Kostin A, Eisaki H, Uchida S, Lawler M J, Kim E A, Mackenzie A P, Fujita K, Lee J, Séamus Davis J C 2016 Nature 532 343 Google Scholar
[21]	Edkins S D, Kostin A, Fujita K, Mackenzie A P, Eisaki H, Uchida S, Sachdev S, Lawler M J, Kim E A, Séamus Davis J C, Hamidian M H 2019 Science 364 976 Google Scholar
[22]	Lou R, Fedorov A, Yin Q W, Kuibarov A, Tu Z J, Gong C S, Schwier E F, Büchner B, Lei H C, Borisenko S 2022 Phys. Rev. Lett. 128 036402 Google Scholar
[23]	Kang M G, Fang S A, Kim J K, Ortiz B R, Ryu S H, Kim J, Yoo J, Sangiovanni G, Di Sante D, Park B G, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Wilson S D, Park J H, Comin R 2022 Nat. Phys. 18 301 Google Scholar
[24]	Kato T, Li Y, Kawakami T, et al. 2022 Commun. Mater. 3 30 Google Scholar
[25]	Cho S Y, Ma H Y, Xia W, Yang Y C, Liu Z T, Huang Z, Jiang Z C, Lu X L, Liu J S, Liu Z H, Li J, Wang J H, Liu Y, Jia J F, Guo Y F, Liu J P, Shen D W 2021 Phys. Rev. Lett. 127 236401 Google Scholar
[26]	Nakayama K, Li Y K, Kato T, Liu M, Wang Z W, Takahashi T, Yao Y G, Sato T 2021 Phys. Rev. B 104 L161112 Google Scholar
[27]	Hu Y, Teicher S M, Ortiz B R, Luo Y, Peng S T, Huai L W, Ma J Z, Plumb N C, Wilson S D, He J F, Shi M 2022 Sci. Bull. 67 495 Google Scholar
[28]	Liu Z H, Zhao N N, Yin Q W, Gong C S, Tu Z J, Li M, Song W H, Liu Z T, Shen D W, Huang Y B, Liu K, Lei H C, Wang S C 2021 Phys. Rev. X 11 041010
[29]	Ortiz B R, Teicher S M L, Kautzsch L, Sarte P M, Ratcliff N, Harter J, Ruff J P C, Seshadri R, Wilson S D 2021 Phys. Rev. X 11 041030
[30]	Ortiz B R, Sarte P M, Kenney E M, Graf M J, Teicher Samuel M L, Seshadri R, Wilson S D 2021 Phys. Rev. Mater. 5 034801 Google Scholar
[31]	Yin Q W, Tu Z J, Gong C S, Fu Y, Yan S H, Lei H C 2021 Chin. Phys. Lett. 38 037403 Google Scholar
[32]	Jiang Y X, Yin J X, Denner M M, Shumiya N, Ortiz B R, Xu G, Guguchia Z, He J Y, Shafayat Hossain M, Liu X X, Ruff J, Kautzsch L, Zhang S T, Chang G Q, Belopolski I, Zhang Q, Cochran T A, Multer D, Litskevich M, Cheng Z J, Yang X P, Wang Z Q, Thomale R, Neupert T, Wilson S D, Hasan M Z 2021 Nat. Mater. 20 1353 Google Scholar
[33]	Wang Z W, Jiang Y X, Yin J X, Li Y K, Wang G Y, Huang H L, Shao S, Liu J J, Zhu P, Shumiya N, Hossain M S, Liu H X, Shi Y G, Duan J X, Li X, Chang G Q, Dai P C, Ye Z J, Xu G, Wang Y C, Zheng H, Jia J F, Hasan M Z, Yao Y G 2021 Phys. Rev. B 104 075148 Google Scholar
[34]	Xie Y F, Li Y K, Bourges P, Ivanov A, Ye Z J, Yin J X, Hasan M Z, Luo A Y, Yao Y G, Wang Z W, Xu G, Dai P C 2022 Phys. Rev. B 105 L140501 Google Scholar
[35]	Mielke C, Das D, Yin J X, Liu H, Gupta R, Jiang Y-X, Medarde M, Wu X, Lei H C, Chang J, Dai P C, Si Q, Miao H, Thomale R, Neupert T, Shi Y, Khasanov R, Hasan M Z, Luetkens H, Guguchia Z 2022 Nature 602 245 Google Scholar
[36]	Yang S Y, Wang Y, Ortiz B R, et al. 2020 Sci. Adv. 6 eabb6003 Google Scholar
[37]	Yu F H, Wu T, Wang Z Y, Lei B, Zhuo W Z, Ying J J, Chen X H 2021 Phys. Rev. B 104 L041103 Google Scholar
[38]	Yu L, Wang C, Zhang Y, et al. 2021 arXiv: 2107.10714 [cond-mat. supr-con]
[39]	Kenney E M, Ortiz B R, Wang C N, Wilson S D, Graf M J 2021 J. Phys. : Condens. Matter 33 235801
[40]	Feng X L, Jiang K, Wang Z, Hu J P 2021 Sci. Bull. 66 1384 Google Scholar
[41]	Feng X L, Zhang Y, Jiang K, Hu J P 2021 Phys. Rev. B 104 165136 Google Scholar
[42]	Li H Z, Wan S Y, Li H, Li Q, Gu Q Q, Yang H, Li Y K, Wang Z W, Yao Y G, Wen H H 2022 Phys. Rev. B 105 045102
[43]	Xiang Y, Li Q, Li Y K, Xie W, Yang H, Wang Z W, Yao Y G, Wen H H 2021 Nat. Commun. 12 6727 Google Scholar
[44]	Ni S L, Ma S, Zhang Y H, Yuan J, Yang H T, Lu Z Y W, Wang N N, Sun J P, Zhao Z, Li D, Liu S B, Zhang H, Chen H, Jin K, Cheng J G, Yu L, Zhou F, Dong X L, Hu J P, Gao H J, Zhao Z X 2021 Chin. Phys. Lett. 38 057403 Google Scholar
[45]	Li H X, Zhang T T, Pai Y Y, Marvinney C E, Said A, Yin Q W, Gong C S, Tu Z J, Vescovo E, Nelson C S, Moore R G, Murakami S, Lei H C, Lee H N, Lawrie B J, Miao H 2021 Phys. Rev. X 11 031050
[46]	Li Y K, Li Q, Fan X W, Liu J J, Feng Q, Liu M, Wang C L, Yin J X, Duan J X, Li X, Wang Z W, Wen H H, Yao Y G 2022 Phys. Rev. B 105 L180507 Google Scholar
[47]	Zhong Y G, Liu J J, Wu X X, Guguchia Z, Yin J X, Mine A, Li Y K, Najafzadeh S, Das D, Mielke C, Khasanov R, Luetkens H, Suzuki T, Liu K C, Han X L, Kondo T, Hu J P, Shin S, Wang Z W, Shi X, Yao Y G, Okazaki K 2023 Nature 617 488 Google Scholar
[48]	Liu M, Han T X, Hu X R, Huon A, Lee H N, Said A, Lei H C, Ortiz B R, Wilson S D, Yin J X, Hasan M Z, Wang Z Q, Tan H X, Yan B H 2022 Phys. Rev. B 106 L140501 Google Scholar
[49]	Kato T, Li Y K, Nakayama K, Wang Z W, Souma S, Matsui F, Kitamura M, Horiba K, Kumigashira H, Takahashi T, Yao Y G, Sato T 2022 Phys. Rev. Lett. 129 206402 Google Scholar
[50]	Miao H, Li H, Meier W R, Huon A, Lee H N, Said A, Lei H C, Ortiz B R, Wilson S D, Yin J X, Hasan M Z, Wang Z Q, Tan H X, Yan B H 2021 Phys. Rev. B 104 195132 Google Scholar
[51]	Xiao Q, Li Q Z, Liu J J, Li Y K, Xia W, Zheng X Q, Guo Y F, Wang Z W, Peng Y Y 2023 Phys. Rev. Mater. 7 074801 Google Scholar
[52]	Liu Y, Wang Y, Cai Y, Hao Z Y, Ma X M, Wang L, Liu C, Chen J, Zhou L, Wang J H, Wang S M, He H T, Liu Y, Cui S T, Wang J F, Huang B, Chen C Y, Mei J W 2021 arXiv: 2110.12651 [cond-mat. supr-con]
[53]	Yang H T, Huang Z H, Zhang Y H, Zhao Z, Shi J N, Luo H L, Zhao L, Qian G J, Tan H X, Hu B, Zhu K, Lu Z Y W, Zhang H, Sun J P, Cheng J G, Shen C M, Lin X, Yan B H, Zhou X J, Wang Z Q, Pennycook S J, Chen H, Dong X L, Zhou W, Gao H J 2022 Sci. Bull. 67 2176 Google Scholar
[54]	Ding G F, Wo H L, Gu Y Q, Gu Y M, Zhao J 2022 Phys. Rev. B 106 235151 Google Scholar
[55]	Kautzsch L, Oey Y M, Li H, Ren Z, Ortiz B R, Pokharel G, Seshadri R, Ruff J, Kongruengkit T, Harter J W, Wang Z Q, Zeljkovic I, Wilson S D 2023 npj Quantum Mater. 8 37 Google Scholar
[56]	Oey Y M, Ortiz B R, Kaboudvand F, Frassineti J, Garcia E, Cong R, Sanna S, Mitrović V F, Seshadri R, Wilson S D 2022 Phys. Rev. Mater. 6 L041801 Google Scholar
[57]	Li H, Zhao H, Ortiz B R, Wang Z Q, Wilson S D, Zeljkovic I 2023 Nat. Phys. 19 637 Google Scholar
[58]	Oey Y M, Kaboudvand F, Ortiz B R, Seshadri R, Wilson S D 2022 Phys. Rev. Mater. 6 074802 Google Scholar
[59]	Liu Y, Liu C C, Zhu Q Q, Ji L W, Wu S Q, Sun Y L, Bao J K, Jiao W H, Xu X F, Ren Z, Cao G H 2022 Phys. Rev. Mater. 6 124803 Google Scholar
[60]	Zhang Z Y, Chen Z, Zhou Y, Yuan Y F, Wang S Y, Wang J, Yang H Y, An C, Zhang L L, Zhu X D, Zhou Y H, Chen X L, Zhou J H, Yang Z R 2021 Phys. Rev. B 103 224513 Google Scholar
[61]	Du F, Li R, Luo S S, Gong Y, Li Y C, Jiang S, Ortiz B R, Liu Y, Xu X F, Wilson S D, Cao C, Song Y, Yuan H Q 2022 Phys. Rev. B 106 024516 Google Scholar
[62]	Chen K Y, Wang N N, Yin Q W, Gu Y H, Jiang K, Tu Z J, Gong C S, Uwatoko Y, Sun J P, Lei H C, Hu J P, Cheng J G 2021 Phys. Rev. Lett. 126 247001 Google Scholar
[63]	Yu F H, Ma D H, Zhuo W Z, Liu S Q, Wen X K, Lei B, Ying J J, Chen X H 2021 Nat. Commun. 12 3645 Google Scholar
[64]	Du F, Luo S S, Ortiz B R, Chen Y, Duan W Y, Zhang D T, Lu X, Wilson S D, Song Y, Yuan H Q 2021 Phys. Rev. B 103 L220504 Google Scholar
[65]	Zhang J F, Liu K, Lu Z Y 2021 Phys. Rev. B 104 195130 Google Scholar
[66]	Chen X, Zhan X H, Wang X J, Deng J, Liu X B, Chen X, Guo J G, Chen X L 2021 Chin. Phys. Lett. 38 057402 Google Scholar
[67]	Zhu C C, Yang X F, Xia W, Yin Q W, Wang L S, Zhao C C, Dai D Z, Tu C P, Song B Q, Tao Z C, Tu Z J, Gong C S, Lei H C, Guo Y F, Li S Y 2022 Phys. Rev. B 105 094507 Google Scholar
[68]	LaBollita H, Botana A S 2021 Phys. Rev. B 104 205129 Google Scholar
[69]	Ortiz B R, Salinas A N C, Knudtson M J, Sarte P M, Pokahrel G, Wilson S D 2023 Phys. Rev. Mater. 7 014801 Google Scholar
[70]	Nakayama K, Li Y K, Kato T, Kato T, Liu M, Wang Z H, Takahashi T, Yao Y G, Sato T 2022 Phys. Rev. X 12 011001
[71]	Song Y, Ying T, Chen X, Han X, Wu, X X, Schnyder A P, Huang Y, Guo J G, Chen X L 2021 Phys. Rev. Lett. 127 237001 Google Scholar

[1]	Li Qi-Zhi, Zhang Shi-Long, Peng Ying-Ying. Resonant inelastic X-ray scattering study of charge density waves and elementary excitations in cuprate superconductors. Acta Physica Sinica, 2024, 73(19): 197401. doi: 10.7498/aps.73.20240983
[2]	Fan Jin-Ze, Fang Zhan-Bo, Luo Chao-Jie, Zhang Hui. Charge density waves in low-dimensional material. Acta Physica Sinica, 2022, 71(12): 127103. doi: 10.7498/aps.71.20220052
[3]	Feng Xi-Lin, Jiang Kun, Hu Jiang-Ping. Kagome superconductors. Acta Physica Sinica, 2022, 71(11): 118103. doi: 10.7498/aps.71.20220891
[4]	Yi Wei, Wu Qi, Sun Li-Ling. Superconductivities of pressurized iron pnictide superconductors. Acta Physica Sinica, 2017, 66(3): 037402. doi: 10.7498/aps.66.037402
[5]	Duan De-Fang, Ma Yan-Bin, Shao Zi-Ji, Xie Hui, Huang Xiao-Li, Liu Bing-Bing, Cui Tian. Structures and novel superconductivity of hydrogen-rich compounds under high pressures. Acta Physica Sinica, 2017, 66(3): 036102. doi: 10.7498/aps.66.036102
[6]	Gao Miao, Kong Xin, Lu Zhong-Yi, Xiang Tao. First-principles study of electron-phonon coupling and superconductivity in compound Li2C2. Acta Physica Sinica, 2015, 64(21): 214701. doi: 10.7498/aps.64.214701
[7]	Sun Jia-Fa, Wang Wei. Phonon softening and superconductivity of -pyrochlore oxide superconductors AOs2O6 (A=K, Rb). Acta Physica Sinica, 2012, 61(13): 137402. doi: 10.7498/aps.61.137402
[8]	Wu Xue-Wei, Wu Da-Jian, Liu Xiao-Jun. Effects of B(N, F) doping on optical properties of TiO2 nanoparticles. Acta Physica Sinica, 2010, 59(7): 4788-4793. doi: 10.7498/aps.59.4788
[9]	Zu Min, Zhang Ying-Zi, Wen Hai-Hu. The effect of thickness on the structure and superconductivity of La1.85Sr0.15CuO4 films. Acta Physica Sinica, 2008, 57(11): 7257-7261. doi: 10.7498/aps.57.7257
[10]	. First principles calculations of the effect of tension of MgB2 film on its superconductivity. Acta Physica Sinica, 2007, 56(12): 7262-7265. doi: 10.7498/aps.56.7262
[11]	Ma Rong, Huang Gui-Qin, Liu Mei. Structure and superconductivity of the ternary silicide CaAlSi. Acta Physica Sinica, 2007, 56(8): 4960-4964. doi: 10.7498/aps.56.4960
[12]	Ma Rong, Zhang Jia-Hong, Du Jin-Li, Liu Su, Liu Mei. Virtual-crystal doping study in novel superconductor MgCNi3. Acta Physica Sinica, 2006, 55(12): 6580-6584. doi: 10.7498/aps.55.6580
[13]	Zhang Jia-Hong, Ma Rong, Liu Su, Liu Mei. First-principles calculations on the superconductivity and magnetism of doping MgCNi3. Acta Physica Sinica, 2006, 55(9): 4816-4821. doi: 10.7498/aps.55.4816
[14]	Xu Jing, Wang Zhi-Guo, Chen Yu-Guang, Shi Yun-Long, Chen Hong. The phase diagram of Hubbard model with alternating chemical potentials. Acta Physica Sinica, 2005, 54(1): 307-312. doi: 10.7498/aps.54.307
[15]	Chen Li, Li Hua. Study on the electronic structure and superconductivity of MgCNi3. Acta Physica Sinica, 2004, 53(3): 922-926. doi: 10.7498/aps.53.922
[16]	Chen Zhi-Qian, Zheng Ren-Rong. . Acta Physica Sinica, 2002, 51(7): 1604-1607. doi: 10.7498/aps.51.1604
[17]	Feng Tian, Wang Nan-Lin, Chen Zhao-Jia, Tian Ming-Liang, Zhang Yu-Heng. . Acta Physica Sinica, 2002, 51(9): 2113-2116. doi: 10.7498/aps.51.2113
[18]	WEI JIAN-HUA, XIE SHI-JIE, MEI LIANG-MO. CHARGE TRANSFER IN MIXED HALIDE MX COMPOUNDS. Acta Physica Sinica, 2000, 49(8): 1561-1566. doi: 10.7498/aps.49.1561
[19]	TIAN MING-LIANG, SHI JING, LI SHI-YAN, CAO QIANG, YUE SONG, ZHANG YU-HENG. MAGNETORESISTANCE PROPERTIES IN QUASI-TWO DIMENSIONAL CHARGE-DENSITY WAVE COMPOU ND (PO2)4(WO3)2m(m=6). Acta Physica Sinica, 2000, 49(9): 1892-1896. doi: 10.7498/aps.49.1892
[20]	WEI JIAN-HUA, XIE SHI-JIE, MEI LIANG-MO. THE LATTICE VIBRATION OF MX COMPOUNDS. Acta Physica Sinica, 2000, 49(10): 2027-2032. doi: 10.7498/aps.49.2027

Catalog

Vol. 73, Issue 6 - 2024-03-20

Metrics

Abstract views: 3342
PDF Downloads: 218
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Doping effects of Kagome superconductor AV₃Sb₅ (A = K, Rb, Cs)

Abstract

Authors and contacts

Corresponding author: Wang Zhi-Wei, zhiweiwang@bit.edu.cn

FullText HTML : translate this paragraph

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板