1 School of Emerging Technology and Department of Physics, University of Science and Technology of China, Hefei 230026, China; 2 Low temperature Physics Laboratory, College of Physics and Center of Quantum Materials and Devices, Chongqing University, Chongqing 401331, China; 3 National Synchrotron Radiation Laboratory and School of Nuclear Science and Technology, New Cornerstone Science Laboratory, University of Science and Technology of China, Hefei 230026, China; 4 Hefei National Laboratory, University of Science and Technology of China, Hefei 230026, China
Abstract The complex symmetry breaking states in VSb family have attracted extreme research attention, but controversy still exists, especially in the question of time reversal symmetry breaking of the charge density wave (CDW). Most recently, a chiral CDW has been suggested in kagome magnet FeGe, but the related study is very rare. Here, we use a scanning tunneling microscope to study the symmetry breaking behavior of both the short- and long-range CDWs in FeGe. Different from previous studies, our study reveals an isotropic long-range CDW without obvious symmetry breaking, while local rotational symmetry breaking appears in the short-range CDW, which may be related to the existence of strong structural disorders. Moreover, the charge distribution of the short-range CDW is inert to the applied external magnetic fields and the detailed spin arrangements of FeGe, inconsistent with the expectation of a chiral CDW associated with chiral flux. Our results rule out the existence of spontaneous chiral and rotational symmetry breaking in the CDW state of FeGe, putting strong constraints on the further understanding of CDW mechanism.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12374140, 12494593, 11790312, 12004056, 11774060, and 92065201), the National Key R&D Program of China (Grant No. 2023YFA1406304), the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302803), the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2022CDJXY-002 and WK9990000103), and the New Cornerstone Science Foundation.
Corresponding Authors:
Ya-Jun Yan
E-mail: yanyj87@ustc.edu.cn
Cite this article:
Jiakang Zhang(张嘉康), Ziyuan Chen(陈子元), Xueliang Wu(吴学良), Mingzhe Li(李明哲), Yuanji Li(李元骥), Ruotong Yin(尹若彤), Jiashuo Gong(巩佳硕), Shiyuan Wang(王适源), Aifeng Wang(王爱峰), Dong-Lai Feng(封东来), and Ya-Jun Yan(闫亚军) Scanning tunneling microscopy study on symmetry breaking of charge density wave in FeGe 2025 Chin. Phys. B 34 047303
[1] Binder K and Young A P 1986 Rev. Mod. Phys. 58 801 [2] Fiebig M 2005 J. Phys. D: Appl. Phys. 38 R123 [3] Phillips P 2012 Advanced Solid State Physics (Cambridge: Cambridge University Press) p. 34 [4] Novoselov K S, Mishchenko A, Carvalho A and Castro Neto A H 2016 Science 353 aac9439 [5] Bardeen J, Cooper L N and Schrieffer J R 1957 Phys. Rev. 108 1175 [6] Fernandes R M, Chubukov A V and Schmalian J 2014 Nat. Phys. 10 97 [7] Keimer B, Kivelson S A, Norman M R, Uchida S and Zaanen J 2015 Nature 518 179 [8] Si Q, Yu R and Abrahams E 2016 Nat. Rev. Mater. 1 16017 [9] Matsuyama K and Greensite J 2019 Phys. Rev. B 100 184513 [10] Wise W D, Boyer M C, Chatterjee K, Kondo T, Takeuchi T, Ikuta H, Wang Y and Hudson E W 2008 Nat. Phys. 4 696 [11] Comin R, Sutarto R, He F, Da Silva Neto E H, Chauviere L, Fraño A, Liang R, Hardy W N, Bonn D A, Yoshida Y, Eisaki H, Achkar A J, Hawthorn D G, Keimer B, Sawatzky G A and Damascelli A 2015 Nat. Mater. 14 796 [12] Miao H, Fumagalli R, Rossi M, Lorenzana J, Seibold G, Yakhou-Harris F, Kummer K, Brookes N B, Gu G D, Braicovich L, Ghiringhelli G and Dean M P M 2019 Phys. Rev. X 9 031042 [13] Wang N, Gu Y, McGuire M A, Yan J, Shi L, Cui Q, Chen K, Wang Y, Zhang H, Yang H, Dong X, Jiang K, Hu J, Wang B, Sun J and Cheng J 2022 Chin. Phys. B 31 017106 [14] Chen Z, Li D, Lu Z, Liu Y, Zhang J, Li Y, Yin R, Li M, Zhang T, Dong X, Yan Y J and Feng D L 2023 Nat. Commun. 14 2023 [15] Xue C L, Yuan Q Q, Xu Y J, Li Q Y, Dou L G, Jia Z Y and Li S C 2023 Phys. Rev. B 107 134516 [16] Rice W D, Ambwani P, Bombeck M, Thompson J D, Haugstad G, Leighton C and Crooker S A 2014 Nat. Mater. 13 481 [17] Santander-Syro A F, Fortuna F, Bareille C, Rödel T C, Landolt G, Plumb N C, Dil J H and Radović M 2014 Nat. Mater. 13 1085 [18] Soumyanarayanan A, Yee M M, He Y, Van Wezel J, Rahn D J, Rossnagel K, Hudson EW, Norman M R and Hoffman J E 2013 Proc. Natl. Acad. Sci. USA 110 1623 [19] Liu Y, Wei T, He G, Zhang Y, Wang Z and Wang J 2023 Nature 618 934 [20] 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 and Toberer E S 2019 Phys. Rev. Mater. 3 094407 [21] Ortiz B R, Teicher S M L, Hu Y, Zuo J L, Sarte P M, Schueller E C, Abeykoon A M M, Krogstad M J, Rosenkranz S, Osborn R, Seshadri R, Balents L, He J and Wilson S D 2020 Phys. Rev. Lett. 125 247002 [22] Zhao H, Li H, Ortiz B R, Teicher SML, Park T, Ye M,Wang Z, Balents L, Wilson S D and Zeljkovic I 2021 Nature 599 216 [23] Chen H, Yang H, Hu B, Zhao Z, Yuan J, Xing Y, Qian G, Huang Z, Li G, Ye Y, Ma S, Ni S, Zhang H, Yin Q, Gong C, Tu Z, Lei H, Tan H, Zhou S, Shen C, Dong X, Yan B, Wang Z and Gao H J 2021 Nature 599 222 [24] Ortiz B R, Sarte P M, Kenney E M, Graf M J, Teicher S M L, Seshadri R and Wilson S D 2021 Phys. Rev. Mater. 5 034801 [25] Neupert T, Denner M M, Yin J X, Thomale R and Hasan M Z 2022 Nat. Phys. 18 137 [26] Meng Y X, Xue C L, Dou L G, Zhao W M, Wang Q W, Xu Y J, Liu X, Xia W, Guo Y and Li S C 2023 Chin. Phys. B 32 096801 [27] Jiang Y X, Yin J X, Denner M M, Shumiya N, Ortiz B R, Xu G, Guguchia Z, He J, Hossain M S, Liu X, Ruff J, Kautzsch L, Zhang S S, Chang G, Belopolski I, Zhang Q, Cochran T A, Multer D, Litskevich M, Cheng Z J, Yang X P, Wang Z, Thomale R, Neupert T, Wilson S D and Hasan M Z 2021 Nat. Mater. 20 1353 [28] Liang Z, Hou X, Zhang F, Ma W, Wu P, Zhang Z, Yu F, Ying J J, Jiang K, Shan L, Wang Z and Chen X H 2021 Phys. Rev. X 11 031026 [29] Luo H, Gao Q, Liu H, Gu Y, Wu D, Yi C, Jia J, Wu S, Luo X, Xu Y, Zhao L,Wang Q, Mao H, Liu G, Zhu Z, Shi Y, Jiang K, Hu J, Xu Z and Zhou X J 2022 Nat. Commun. 13 273 [30] Xiang Y, Li Q, Li Y, Xie W, Yang H, Wang Z, Yao Y and Wen H H 2021 Nat. Commun. 12 6727 [31] 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, Si Q, Miao H, Thomale R, Neupert T, Shi Y, Khasanov R, Hasan M Z, Luetkens H and Guguchia Z 2022 Nature 602 245 [32] Yu L, Wang C, Zhang Y, Sander M, Ni S, Lu Z, Ma S, Wang Z, Zhao Z, Chen H, Jiang K, Zhang Y, Yang H, Zhou F, Dong X, Johnson S L, Graf M J, Hu J, Gao H J and Zhao Z 2021 arXiv:2107.10714 [33] Nie L, Sun K, Ma W, Song D, Zheng L, Liang Z, Wu P, Yu F, Li J, Shan M, Zhao D, Li S, Kang B, Wu Z, Zhou Y, Liu K, Xiang Z, Ying J, Wang Z, Wu T and Chen X 2022 Nature 604 59 [34] Ratcliff N, Hallett L, Ortiz B R,Wilson S D and Harter J W 2021 Phys. Rev. Mater. 5 L111801 [35] Tan H, Liu Y, Wang Z and Yan B 2021 Phys. Rev. Lett. 127 046401 [36] Hu Y, Wu X, Ortiz B R, Han X, Plumb N C, Wilson S D, Schnyder A P and Shi M 2022 Phys. Rev. B 106 L241106 [37] Broyles C, Graf D, Yang H, Dong X, Gao H and Ran S 2022 Phys. Rev. Lett. 129 157001 [38] Frassineti J, Bonfà P, Allodi G, Garcia E, Cong R, Ortiz B R, Wilson S D, De Renzi R, Mitrović V F and Sanna S 2023 Phys. Rev. Res. 5 L012017 [39] Kang M, Fang S, Yoo J, Ortiz B R, Oey Y M, Choi J, Ryu S H, Kim J, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Checkelsky J G, Wilson S D, Park J H and Comin R 2022 Nat. Mater. 22 186 [40] Wang Y, Wu T, Li Z, Jiang K and Hu J 2023 Phys. Rev. B 107 184106 [41] Wu P, Tu Y,Wang Z, Yu S, Li H, MaW, Liang Z, Zhang Y, Zhang X, Li Z, Yang Y, Qiao Z, Ying J, Wu T, Shan L, Xiang Z, Wang Z and Chen X 2023 Nat. Phys. 19 1143 [42] Feng X, Jiang K, Wang Z and Hu J 2021 Science Bulletin 66 1384 [43] Denner M M, Thomale R and Neupert T 2021 Phys. Rev. Lett. 127 217601 [44] Ma H Y, Yin J X, Zahid Hasan M and Liu J 2024 Chin. Phys. Lett. 41 047103 [45] Li H, Zhao H, Ortiz B R, Park T, Ye M, Balents L, Wang Z, Wilson S D and Zeljkovic I 2022 Nat. Phys. 18 265 [46] Ishioka J, Liu Y H, Shimatake K, Kurosawa T, Ichimura K, Toda Y, Oda M and Tanda S 2010 Phys. Rev. Lett. 105 176401 [47] Shumiya N, Hossain Md S, Yin J X, Jiang Y X, Ortiz B R, Liu H, Shi Y, Yin Q, Lei H, Zhang S S, Chang G, Zhang Q, Cochran T A, Multer D, Litskevich M, Cheng Z J, Yang X P, Guguchia Z, Wilson S D and Hasan M Z 2021 Phys. Rev. B 104 035131 [48] Wang Z, Jiang Y X, Yin J X, Li Y, Wang G Y, Huang H L, Shao S, Liu J, Zhu P, Shumiya N, Hossain M S, Liu H, Shi Y, Duan J, Li X, Chang G, Dai P, Ye Z, Xu G, Wang Y, Zheng H, Jia J, Hasan M Z and Yao Y 2021 Phys. Rev. B 104 075148 [49] Guo C, Wagner G, Putzke C, Chen D, Wang K, Zhang L, Gutierrez-Amigo M, Errea I, Vergniory M G, Felser C, Fischer M H, Neupert T and Moll P J W 2024 Nat. Phys. 20 579 [50] Xing Y, Bae S, Ritz E, Yang F, Birol T, Capa Salinas A N, Ortiz B R, Wilson S D, Wang Z, Fernandes R M and Madhavan V 2024 Nature 631 60 [51] Yu F H, Wu T, Wang Z Y, Lei B, Zhuo W Z, Ying J J and Chen X H 2021 Phys. Rev. B 104 L041103 [52] Kenney E M, Ortiz B R, Wang C, Wilson S D and Graf M J 2021 J. Phys.: Condens. Matter 33 235801 [53] Khasanov R, Das D, Gupta R, Mielke C, Elender M, Yin Q, Tu Z, Gong C, Lei H, Ritz E T, Fernandes R M, Birol T, Guguchia Z and Luetkens H 2022 Phys. Rev. Res. 4 023244 [54] Xu Y, Ni Z, Liu Y, Ortiz B R, Deng Q, Wilson S D, Yan B, Balents L and Wu L 2022 Nat. Phys. 18 1470 [55] Wu Q, Wang Z X, Liu Q M, Li R S, Xu S X, Yin Q W, Gong C S, Tu Z J, Lei H C, Dong T and Wang N L 2022 Phys. Rev. B 106 205109 [56] Li H,Wan S, Li H, Li Q, Gu Q, Yang H, Li Y,Wang Z, Yao Y andWen H H 2022 Phys. Rev. B 105 045102 [57] Saykin D R, Farhang C, Kountz E D, Chen D, Ortiz B R, Shekhar C, Felser C, Wilson S D, Thomale R, Xia J and Kapitulnik A 2023 Phys. Rev. Lett. 131 016901 [58] Hu Y, Yamane S, Mattoni G, Yada K, Obata K, Li Y, Yao Y, Wang Z, Wang J, Farhang C, Xia J, Maeno Y and Yonezawa S 2023 arXiv:2208.08036 [59] Teng X, Chen L, Ye F, Rosenberg E, Liu Z, Yin J X, Jiang Y X, Oh J S, HasanMZ, Neubauer K J, Gao B, Xie Y, Hashimoto M, Lu D, Jozwiak C, Bostwick A, Rotenberg E, Birgeneau R J, Chu J H, Yi M and Dai P A 2022 Nature 609 490 [60] Yin J X, Jiang Y X, Teng X, Hossain Md S, Mardanya S, Chang T R, Ye Z, Xu G, Denner M M, Neupert T, Lienhard B, Deng H B, Setty C, Si Q, Chang G, Guguchia Z, Gao B, Shumiya N, Zhang Q, Cochran T A, Multer D, Yi M, Dai P and Hasan M Z 2022 Phys. Rev. Lett. 129 166401 [61] Teng X, Oh J S, Tan H, Chen L, Huang J, Gao B, Yin J X, Chu J H, Hashimoto M, Lu D, Jozwiak C, Bostwick A, Rotenberg E, Granroth G E, Yan B, Birgeneau R J, Dai P and Yi M 2023 Nat. Phys. 19 814 [62] Miao H, Zhang T T, Li H X, Fabbris G, Said A H, Tartaglia R, Yilmaz T, Vescovo E, Yin J X, Murakami S, Feng X L, Jiang K,Wu X L,Wang A F, Okamoto S, Wang Y L and Lee H N 2023 Nat. Commun. 14 6183 [63] Shao S, Yin J X, Belopolski I, You J Y, Hou T, Chen H, Jiang Y, Hossain M S, Yahyavi M, Hsu C H, Feng Y P, Bansil A, Hasan M Z and Chang G 2023 ACS Nano 17 10164 [64] Chen Z, Wu X, Zhou S, Zhang J, Yin R, Li Y, Li M, Gong J, He M, Chai Y, Zhou X, Wang Y, Wang A, Yan Y J and Feng D L 2024 Nat. Commun. 15 6262 [65] Shi C, Liu Y, Maity B B, Wang Q, Kotla S R, Ramakrishnan S, Eisele C, Agarwal H, Noohinejad L, Tao Q, Kang B, Lou Z, Yang X, Qi Y, Lin X, Xu Z A, Thamizhavel A, Cao G H, Smaalen S van, Cao S and Bao J K 2024 Sci. China Phys. Mech. Astron. 67 117012 [66] Wu X, Mi X, Zhang L, Wang C W, Maraytta N, Zhou X, He M, Merz M, Chai Y and Wang A 2024 Phys. Rev. Lett. 132 256501 [67] Chen Z, Wu X, Yin R, Zhang J, Wang S, Li Y, Li M, Wang A, Wang Y, Yan Y J and Feng D L 2024 Phys. Rev. B 110 245104 [68] Oh J S, Biswas A, Klemm M, Tan H, Hashimoto M, Lu D, Yan B, Dai P, Birgeneau R J and Yi M 2024 arXiv:2404.02231 [69] Bode M 2003 Rep. Prog. Phys. 66 523 [70] Wiesendanger R 2009 Rev. Mod. Phys. 81 1495 [71] Yin J X, Lian B and Hasan M Z 2022 Nature 612 647 [72] Novello A M, Spera M, Scarfato A, Ubaldini A, Giannini E, Bowler D R and Renner Ch 2017 Phys. Rev. Lett. 118 017002
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