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We employ the time resolved pump probe experiment to investigate the ultrafast dynamics in a topological semimetal molybdenum phosphide (MoP), which exhibits triple degenerate points in the momentum space. Two relaxation processes with the lifetime of 0.3 and 150 ps have been observed. We attribute the fast component to the electron-phonon scattering and the slow component to the phonon-phonon scattering, respectively. Temperature dependence investigation shows that both the lifetimes of the fast and slow components enhance slightly with increasing temperature. We also successfully generate and detect a thermal-stress-induced coherent acoustic phonon mode with a frequency of 0.033 THz, which does not vary with temperature. Our ultrafast spectroscopy investigation of the quasiparticle dynamics and the coherent phonon in MoP provides useful experimental facts and information about the overall excited state dynamics and the temperature dependence of electron-phonon coupling.
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Keywords:
- ultrafast spectroscopy /
- triple degenerate fermions /
- electron-phonon coupling /
- topological semimetal
[1] Armitage N P, Mele E J, Vishwanath A 2018 Rev. Mod. Phys. 90 015001Google Scholar
[2] Wang Z J, Weng H M, Wu Q S, Dai X, Fang Z 2013 Phys. Rev. B 88 125427Google Scholar
[3] Liu Z K, Jiang J, Zhou B, Wang Z J, Zhang Y, Weng H M, Prabhakaran D, Mo S K, Peng H, Dudin P, Kim T, Hoesch M, Fang Z, Dai X, Shen Z X, Feng D L, Hussain Z, Chen Y L 2014 Nat. Mater. 13 677Google Scholar
[4] Wan X G, Turner A M, Vishwanath A, Savrasov S Y 2011 Phys. Rev. B 83 205101Google Scholar
[5] Huang X C, Zhao L X, Long Y J, Wang P P, Chen D, Yang Z H, Liang H, Xue M Q, Weng H M, Fang Z, Dai X, Chen G F 2015 Phys. Rev. X 5 031023
[6] Bradlyn B, Cano J, Wang Z J, Vergniory M G, Felser C, Cava R J, Bernevig B A 2016 Science 353 6299Google Scholar
[7] Lv B Q, Feng Z L, Xu Q N, Gao X, Ma J Z, Kong L Y, Richard P, Huang Y B, Strocov V N, Fang C, Weng H M, Shi Y G, Qian T, Ding H 2017 Nature 546 627Google Scholar
[8] Chi Z H, Chen X L, An C, Yang L X, Zhao J G, Feng Zili, Zhou Y H, Zhou Y, Gu C C, Zhang B W, Yuan Y F, Curtis K B, Yang W G, Wu G, Wan X G, Shi Y G, Yang X P, Yang Z R 2018 npj. Quantum. Materials 3 28Google Scholar
[9] Zhu Z M, Winkler G W, Wu Q S, Li J, Soluyanov A A 2016 Phys. Rev. X 6 031003
[10] Tian Y C, Zhang W H, Li F S, Wu Y L, Wu Q, Sun F, Zhou G Y, Wang L L, Ma X C, Xue Q K, Zhao J M 2016 Phys. Rev. Lett. 116 107001Google Scholar
[11] Wu Q, Zhou H X, Wu Y L, Hu L L, Ni S L, Tian Y C, Sun F, Zhou F, Dong X L, Zhao Z X, Zhao J M 2019 arXiv 1910 09859
[12] Toda Y, Kawanokami F, Kurosawa T, Oda M, Madan I, Mertelj T, Kabanov V V, Mihailovic D 2014 Phys. Rev. B 90 094513Google Scholar
[13] 曹宁, 龙拥兵, 张治国, 高丽娟, 袁洁, 赵伯儒, 赵士平, 杨乾生, 赵继民, 傅盘铭 2008 物理学报 57 2543Google Scholar
Cao N, Long Y B, Zang Z G, Gao L J, Yuan J, Zhao B R, Zhao S P, Yang Q S, Zhao J M, Fu P M 2008 Acta Phys. Sin. 57 2543Google Scholar
[14] Cao N, Wei Y F, Zhao J M, Zhao S P, Yang Q S, Zhang Z G, Fu P M 2008 Chin. Phys. Lett. 25 2257Google Scholar
[15] Sun F, Yang M, Yang M W, Wu Q, Zhao H, Ye X, Shi Y G, Zhao J M 2018 Chin. Phys. Lett. 35 116301Google Scholar
[16] Sun F, Wu Q, Wu Y L, Zhao H, Yi C J, Tian Y C, Liu H W, Shi Y G, Ding H, Dai X, Richard P, Zhao J M 2017 Phys. Rev. B 95 235108Google Scholar
[17] Wang M C, Qiao S, Jiang Z, Luo S N, Qi J 2016 Phys. Rev. Lett. 116 036601Google Scholar
[18] Hu L L, Yang M, Wu Y L, Wu Q, Zhao H, Sun F, Wang W, He R, He S L, Zhang H, Huang R J, Li L F, Shi Y G, Zhao J M 2019 Phys. Rev. B 99 094307Google Scholar
[19] Hsieh D, Mahmood F, Torchinsky D H, Cao G, Gedik N 2012 Phys. Rev. B 86 035128Google Scholar
[20] SieE J, MclverJ, Lee Y H, Fu L, Kong J, Gedik N 2015 Nat. Mater. 14 290Google Scholar
[21] Ge S F, Liu X F, Qiao X A, Wang Q S, Xu Z, Qiu J, Tan P H, Zhao J M, Sun D 2015 Sci. Rep. 4 5722
[22] Wang R, Wang T, Zhou Y, Wu Y L, Zhang X X, He X Y, Peng H L, Zhao J M, Qiu X H 2019 2D Mater. 6 035034
[23] Wang Y J, Chen H L, Sun M T, Yao Z G, Quan B G, Liu Z, Weng Y X, Zhao J M, Gu C Z, Li J J 2017 Carbon 122 98Google Scholar
[24] Zhao J M, Bragas A V, Lockwood D J, Merlin R 2004 Phys. Rev. Lett. 93 107203Google Scholar
[25] Zhao J M, Bragas A V, Merlin R, Lockwood D J 2006 Phys. Rev. B 73 184434Google Scholar
[26] Aku-Leh C, Zhao J M, Merlin R, Menéndez J, Cardona M 2005 Phys. Rev. B 71 205211Google Scholar
[27] Bragas A V, Aku-Leh C, Costantino S, Ingale A, Zhao J M, Merlin R 2004 Phys. Rev. B 69 205306Google Scholar
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图 1 MoP的时间分辨超快动力学过程 (a) 温度从7 K到290 K变化的∆R/R0曲线; (b)进行泵浦探测实验所用MoP样品的SEM图片; (c)和(d)分别为MoP样品在不同角度下的晶格结构. 蓝色和红色小球分别代表Mo原子和P原子
Figure 1. Time-resolved pump-probe spectroscopy showing the ultrafast dynamics of MoP: (a) The ∆R/R0 of MoP at several typical temperatures from 7 to 290 K; (b) SEM image of our sample; (c) and (d) Schematic lattice structures of MoP. Blue and red balls: Mo and P atoms, respectively.
图 3 温度为7 K的∆R/R0的拟合结果, 其中空心圆圈代表原始实验数据, 蓝色实线代表拟合曲线. 插图为激发的相干态声学支声子的频率对温度的依赖, 在整个温区均为0.033 THz
Figure 3. Fitting of the ∆R/R0 at 7 K, where the black circles represent the raw data and the blue curve represents the fitting result, respectively. The inset illustrates the temperature dependence of the frequency of the coherent acoustic phonon, which stays 0.033 THz for the whole temperature range.
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[1] Armitage N P, Mele E J, Vishwanath A 2018 Rev. Mod. Phys. 90 015001Google Scholar
[2] Wang Z J, Weng H M, Wu Q S, Dai X, Fang Z 2013 Phys. Rev. B 88 125427Google Scholar
[3] Liu Z K, Jiang J, Zhou B, Wang Z J, Zhang Y, Weng H M, Prabhakaran D, Mo S K, Peng H, Dudin P, Kim T, Hoesch M, Fang Z, Dai X, Shen Z X, Feng D L, Hussain Z, Chen Y L 2014 Nat. Mater. 13 677Google Scholar
[4] Wan X G, Turner A M, Vishwanath A, Savrasov S Y 2011 Phys. Rev. B 83 205101Google Scholar
[5] Huang X C, Zhao L X, Long Y J, Wang P P, Chen D, Yang Z H, Liang H, Xue M Q, Weng H M, Fang Z, Dai X, Chen G F 2015 Phys. Rev. X 5 031023
[6] Bradlyn B, Cano J, Wang Z J, Vergniory M G, Felser C, Cava R J, Bernevig B A 2016 Science 353 6299Google Scholar
[7] Lv B Q, Feng Z L, Xu Q N, Gao X, Ma J Z, Kong L Y, Richard P, Huang Y B, Strocov V N, Fang C, Weng H M, Shi Y G, Qian T, Ding H 2017 Nature 546 627Google Scholar
[8] Chi Z H, Chen X L, An C, Yang L X, Zhao J G, Feng Zili, Zhou Y H, Zhou Y, Gu C C, Zhang B W, Yuan Y F, Curtis K B, Yang W G, Wu G, Wan X G, Shi Y G, Yang X P, Yang Z R 2018 npj. Quantum. Materials 3 28Google Scholar
[9] Zhu Z M, Winkler G W, Wu Q S, Li J, Soluyanov A A 2016 Phys. Rev. X 6 031003
[10] Tian Y C, Zhang W H, Li F S, Wu Y L, Wu Q, Sun F, Zhou G Y, Wang L L, Ma X C, Xue Q K, Zhao J M 2016 Phys. Rev. Lett. 116 107001Google Scholar
[11] Wu Q, Zhou H X, Wu Y L, Hu L L, Ni S L, Tian Y C, Sun F, Zhou F, Dong X L, Zhao Z X, Zhao J M 2019 arXiv 1910 09859
[12] Toda Y, Kawanokami F, Kurosawa T, Oda M, Madan I, Mertelj T, Kabanov V V, Mihailovic D 2014 Phys. Rev. B 90 094513Google Scholar
[13] 曹宁, 龙拥兵, 张治国, 高丽娟, 袁洁, 赵伯儒, 赵士平, 杨乾生, 赵继民, 傅盘铭 2008 物理学报 57 2543Google Scholar
Cao N, Long Y B, Zang Z G, Gao L J, Yuan J, Zhao B R, Zhao S P, Yang Q S, Zhao J M, Fu P M 2008 Acta Phys. Sin. 57 2543Google Scholar
[14] Cao N, Wei Y F, Zhao J M, Zhao S P, Yang Q S, Zhang Z G, Fu P M 2008 Chin. Phys. Lett. 25 2257Google Scholar
[15] Sun F, Yang M, Yang M W, Wu Q, Zhao H, Ye X, Shi Y G, Zhao J M 2018 Chin. Phys. Lett. 35 116301Google Scholar
[16] Sun F, Wu Q, Wu Y L, Zhao H, Yi C J, Tian Y C, Liu H W, Shi Y G, Ding H, Dai X, Richard P, Zhao J M 2017 Phys. Rev. B 95 235108Google Scholar
[17] Wang M C, Qiao S, Jiang Z, Luo S N, Qi J 2016 Phys. Rev. Lett. 116 036601Google Scholar
[18] Hu L L, Yang M, Wu Y L, Wu Q, Zhao H, Sun F, Wang W, He R, He S L, Zhang H, Huang R J, Li L F, Shi Y G, Zhao J M 2019 Phys. Rev. B 99 094307Google Scholar
[19] Hsieh D, Mahmood F, Torchinsky D H, Cao G, Gedik N 2012 Phys. Rev. B 86 035128Google Scholar
[20] SieE J, MclverJ, Lee Y H, Fu L, Kong J, Gedik N 2015 Nat. Mater. 14 290Google Scholar
[21] Ge S F, Liu X F, Qiao X A, Wang Q S, Xu Z, Qiu J, Tan P H, Zhao J M, Sun D 2015 Sci. Rep. 4 5722
[22] Wang R, Wang T, Zhou Y, Wu Y L, Zhang X X, He X Y, Peng H L, Zhao J M, Qiu X H 2019 2D Mater. 6 035034
[23] Wang Y J, Chen H L, Sun M T, Yao Z G, Quan B G, Liu Z, Weng Y X, Zhao J M, Gu C Z, Li J J 2017 Carbon 122 98Google Scholar
[24] Zhao J M, Bragas A V, Lockwood D J, Merlin R 2004 Phys. Rev. Lett. 93 107203Google Scholar
[25] Zhao J M, Bragas A V, Merlin R, Lockwood D J 2006 Phys. Rev. B 73 184434Google Scholar
[26] Aku-Leh C, Zhao J M, Merlin R, Menéndez J, Cardona M 2005 Phys. Rev. B 71 205211Google Scholar
[27] Bragas A V, Aku-Leh C, Costantino S, Ingale A, Zhao J M, Merlin R 2004 Phys. Rev. B 69 205306Google Scholar
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