Please wait a minute...
Chin. Phys. B, 2025, Vol. 34(1): 017101    DOI: 10.1088/1674-1056/ad925d
TOPICAL REVIEW — Recent progress on kagome metals and superconductors Prev  

Electronic band structures of topological kagome materials

Man Li(李满)1,†, Huan Ma(马欢)2,†, Rui Lou(娄睿)3,4,5,‡, and Shancai Wang(王善才)2,§
1 School of Information Network Security, People's Public Security University of China, Beijing 100038, China;
2 Department of Physics, Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), and Beijing Key Laboratory of Opto-electronic Functional Materials & Micronano Devices, Renmin University of China, Beijing 100872, China;
3 Leibniz Institute for Solid State and Materials Research, IFW Dresden, 01069 Dresden, Germany;
4 Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Stra?e 15, 12489 Berlin, Germany;
5 Joint Laboratory "Functional Quantum Materials" at BESSY II, 12489 Berlin, Germany
Abstract  The kagome lattice has garnered significant attention due to its ability to host quantum spin Fermi liquid states. Recently, the combination of unique lattice geometry, electron-electron correlations, and adjustable magnetism in solid kagome materials has led to the discovery of numerous fascinating quantum properties. These include unconventional superconductivity, charge and spin density waves (CDW/SDW), pair density waves (PDW), and Chern insulator phases. These emergent states are closely associated with the distinctive characteristics of the kagome lattice's electronic structure, such as van Hove singularities, Dirac fermions, and flat bands, which can exhibit exotic quasi-particle excitations under different symmetries and magnetic conditions. Recently, various quantum kagome materials have been developed, typically consisting of kagome layers stacked along the $z$-axis with atoms either filling the geometric centers of the kagome lattice or embedded between the layers. In this topical review, we begin by introducing the fundamental properties of several kagome materials. To gain an in-depth understanding of the relationship between topology and correlation, we then discuss the complex phenomena observed in these systems. These include the simplest kagome metal $T_3X$, kagome intercalation metal $TX$, and the ternary compounds $AT_6X_6$ and $RT_3X_5$ ($A = {\rm Li}$, Mg, Ca, or rare earth; $T = {\rm V}$, Cr, Mn, Fe, Co, Ni; $X = {\rm Sn}$, Ge; $R = {\rm K}$, Rb, Cs). Finally, we provide a perspective on future experimental work in this field.
Keywords:  kagome lattice      quasi-particle excitation      electronic correlation      magnetism  
Received:  26 June 2024      Revised:  19 August 2024      Accepted manuscript online:  14 November 2024
PACS:  71.20.-b (Electron density of states and band structure of crystalline solids)  
  79.60.-i (Photoemission and photoelectron spectra)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12204536), the Fundamental Research Funds for the Central Universities, and the Research Funds of People’s Public Security University of China (PPSUC) (Grant No. 2023JKF02ZK09).
Corresponding Authors:  Rui Lou, Shancai Wang     E-mail:  lourui09@gmail.com;scw@ruc.edu.cn

Cite this article: 

Man Li(李满), Huan Ma(马欢), Rui Lou(娄睿), and Shancai Wang(王善才) Electronic band structures of topological kagome materials 2025 Chin. Phys. B 34 017101

[1] Liu Z, Liu F and Wu Y S 2014 Chin. Phys. B 23 077308
[2] Tanaka A and Ueda H 2003 Phys. Rev. Lett. 90 067204
[3] Chen Y, Xu S, Xie Y, Zhong C, Wu C and Zhang S B 2018 Phys. Rev. B 98 035135
[4] Wu C, Bergman D, Balents L and Das Sarma S 2007 Phys. Rev. Lett. 99 070401
[5] Jaworowski B, Güçlü A D, Kaczmarkiewicz P, Kupczyński M, Potasz P and Wójs A 2018 New J. Phys. 20 063023
[6] Tang E, Mei J W and Wen X G 2011 Phys. Rev. Lett. 106 236802
[7] Xu G, Lian B and Zhang S C 2015 Phys. Rev. Lett. 115 186802
[8] Kassem M A, Shiotani T, Ohta H, Tabata Y, Waki T and Nakamura H 2023 arXiv e-prints (Preprint 2312.17069)
[9] Jiang K, Wu T, Yin J X, Wang Z, Hasan M Z, Wilson S D, Chen X and Hu J 2022 National Science Review 10 nwac199
[10] Wang Y, Wu H, McCandless G T, Chan J Y and Ali M N 2023 Nature Reviews Physics 5 635
[11] Yin J X, Lian B and Hasan M Z 2022 Nature 612 647
[12] Wang Q, Xu Y, Lou R, Liu Z, Li M, Huang Y, Shen D, Weng H, Wang S and Lei H 2018 Nat. Commun. 9 3681
[13] Liu D F, Liang A J, Liu E K, Xu Q N, Li Y W, Chen C, Pei D, Shi W J, Mo S K, Dudin P, Kim T, Cacho C, Li G, Sun Y, Yang L X, Liu Z K, Parkin S S P, Felser C and Chen Y L 2019 Science 365 1282
[14] Yu S L and Li J X 2012 Phys. Rev. B 85 144402
[15] Kiesel M L, Platt C and Thomale R 2013 Phys. Rev. Lett. 110 126405
[16] Feng X, Jiang K, Wang Z and Hu J 2021 Science Bulletin 66 1384
[17] Li Y, Liu Y, Du X, Wu S, Zhao W, Zhai K, Hu Y, Zhang S, Chen H, Liu J, Yang Y, Peng C, Hashimoto M, Lu D, Liu Z, Wang Y, Chen Y, Cao G and Yang L 2024 Preprint 2406.03740
[18] Guo Y, Wang Z, Xie F, Huang Y, Gao B, Oh J S, Wu H, Liu Z, Ren Z, Fang Y, Biswas A, Zhang Y, Yue Z, Hu C, Jozwiak C, Bostwick A, Rotenberg E, Hashimoto M, Lu D, Kono J, Chu J H, Yakobson B I, Birgeneau R J, Si Q, Dai P and Yi M 2024 arXiv e-prints (Preprint 2406.05293)
[19] Li L, Chi S, Ma W, Guo K, Xu G and Jia S 2024 Chin. Phys. B 33 057501
[20] Kuroda K, Tomita T, Suzuki M T, Bareille C, Nugroho A A, Goswami P, Ochi M, Ikhlas M, Nakayama M, Akebi S, Noguchi R, Ishii R, Inami N, Ono K, Kumigashira H, Varykhalov A, Muro T, Koretsune T, Arita R, Shin S, Kondo T and Nakatsuji S 2017 Nat. Mater. 16 1090
[21] Yin J X, Zhang S S, Chang G, Wang Q, Tsirkin S S, Guguchia Z, Lian B, Zhou H, Jiang K, Belopolski I, Shumiya N, Multer D, Litskevich M, Cochran T A, Lin H, Wang Z, Neupert T, Jia S, Lei H and Hasan M Z 2019 Nat. Phys. 15 443
[22] Huang H, Zheng L, Lin Z, Guo X, Wang S, Zhang S, Zhang C, Sun Z, Wang Z, Weng H, Li L, Wu T, Chen X and Zeng C 2022 Phys. Rev. Lett. 128 096601
[23] Lou R, Zhou L, Song W, Fedorov A, Tu Z, Jiang B, Wang Q, Li M, Liu Z, Chen X, Rader O, Büchner B, Sun Y, Weng H, Lei H and Wang S 2024 Nat. Commun. 15 9823
[24] Higo T, Kondou K, Nomoto T, Shiga M, Sakamoto S, Chen X, NishioHamane D, Arita R, Otani Y, Miwa S and Nakatsuji S 2022 Nature 607 474
[25] Kimata M, Chen H, Kondou K, Sugimoto S, Muduli P K, Ikhlas M, Omori Y, Tomita T, MacDonald A H, Nakatsuji S and Otani Y 2019 Nature 565 627
[26] Nakatsuji S, Kiyohara N and Higo T 2015 Nature 527 212
[27] Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010 Rev. Mod. Phys. 82 1539
[28] Yang H, Sun Y, Zhang Y, Shi W J, Parkin S S P and Yan B 2017 New J. Phys. 19 015008
[29] Nielsen H B and Ninomiya M 1983 Phys. Lett. B 130 389
[30] Nandy S, Sharma G, Taraphder A and Tewari S 2017 Phys. Rev. Lett. 119 176804
[31] West F G 1963 J. Appl. Phys. 34 1171
[32] 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 V, Cao S and Bao J K 2024 Sci. China Phys. Mech. Astron. 67 117012
[33] Hu J, Xu S Y, Ni N and Mao Z 2019 Annual Review of Materials Research 49 207
[34] Armitage N P, Mele E J and Vishwanath A 2018 Rev. Mod. Phys. 90 015001
[35] Ikhlas M, Tomita T, Koretsune T, Suzuki M T, Nishio-Hamane D, Arita R, Otani Y and Nakatsuji S 2017 Nat. Phys. 13 1085
[36] Sales B C, Meier W R, Parker D S, Yin L, Yan J Q, May A F, Calder S, Aczel A A, Zhang Q, Li H, Yilmaz T, Vescovo E, Miao H, Hermann R P and McGuire M A 2024 Chemistry of Materials 34 7069
[37] Higo T, Man H, Gopman D B, Wu L, Koretsune T, van’t Erve O M J, Kabanov Y P, Rees D, Li Y, Suzuki M T, Patankar S, Ikhlas M, Chien C L, Arita R, Shull R D, Orenstein J and Nakatsuji S 2018 Nat. Photonics 12 73
[38] Rout P K, Madduri P V P, Manna S K and Nayak A K 2019 Phys. Rev. B 99 094430
[39] Xu L, Li X, Ding L, Behnia K and Zhu Z 2020 Appl. Phys. Lett. 117 222403
[40] Burkov A A 2017 Phys. Rev. B 96 041110
[41] Zhang S S, Yin J X, Ikhlas M, Tien H J, Wang R, Shumiya N, Chang G, Tsirkin S S, Shi Y, Yi C, Guguchia Z, Li H, Wang W, Chang T R, Wang Z, Yang Y f, Neupert T, Nakatsuji S and Hasan M Z 2020 Phys. Rev. Lett. 125 046401
[42] Sung N H, Ronning F, Thompson J D and Bauer E D 2018 Appl. Phys. Lett. 112 132406
[43] Li X, Koo J, Zhu Z, Behnia K and Yan B 2023 Nat. Commun. 14 1642
[44] liang Yu G, min Cheng T, lin Li M and Zhang X 2022 Phys. Lett. A 452 128450
[45] Drijver J W, Sinnema S G and van der Woude F 1976 J. Phys. F: Metal Phys. 6 2165
[46] Zhang Z, Zhao M, Ma L, Li G, Zhen C, Zhao D and Hou D 2024 arXiv e-prints (Preprint 2403.17354)
[47] Kane C L and Mele E J 2005 Phys. Rev. Lett. 95 226801
[48] Yin J X, Zhang S S, Li H, Jiang K, Chang G, Zhang B, Lian B, Xiang C, Belopolski I, Zheng H, Cochran T A, Xu S Y, Bian G, Liu K, Chang T R, Lin H, Lu Z Y, Wang Z, Jia S, Wang W and Hasan M Z 2018 Nature 562 91
[49] 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
[50] Wang Q, Sun S, Zhang X, Pang F and Lei H 2016 Phys. Rev. B 94 075135
[51] Du Q, Hu Z, Han M G, Camino F, Zhu Y and Petrovic C 2022 Phys. Rev. Lett. 129 236601
[52] Ye L, Kang M, Liu J, von Cube F, Wicker C R, Suzuki T, Jozwiak C, Bostwick A, Rotenberg E, Bell D C, Fu L, Comin R and Checkelsky J G 2018 Nature 555 638
[53] Lin Z, Choi J H, Zhang Q, Qin W, Yi S, Wang P, Li L, Wang Y, Zhang H, Sun Z, Wei L, Zhang S, Guo T, Lu Q, Cho J H, Zeng C and Zhang Z 2018 Phys. Rev. Lett. 121 096401
[54] Sales B C, Yan J, Meier W R, Christianson A D, Okamoto S and McGuire M A 2019 Phys. Rev. Mater. 3 114203
[55] Kang M, Ye L, Fang S, You J S, Levitan A, Han M, Facio J I, Jozwiak C, Bostwick A, Rotenberg E, Chan M K, McDonald R D, Graf D, Kaznatcheev K, Vescovo E, Bell D C, Kaxiras E, van den Brink J, Richter M, Ghimire M P, Checkelsky J G and Comin R 2020 Nat. Mater. 19 163
[56] Lin Z, Wang C, Wang P, Yi S, Li L, Zhang Q, Wang Y, Wang Z, Huang H, Sun Y, Huang Y, Shen D, Feng D, Sun Z, Cho J H, Zeng C and Zhang Z 2020 Phys. Rev. B 102 155103
[57] Teng X, Chen L, Ye F, Rosenberg E, Liu Z, Yin J X, Jiang Y X, Oh J S, Hasan M Z, 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 2022 Nature 609 490
[58] Xie Y, Chen L, Chen T, Wang Q, Yin Q, Stewart J R, Stone M B, Daemen L L, Feng E, Cao H, Lei H, Yin Z, MacDonald A H and Dai P 2021 Communications Physics 4 240
[59] Liu Z, Li M, Wang Q, Wang G, Wen C, Jiang K, Lu X, Yan S, Huang Y, Shen D, Yin J X, Wang Z, Yin Z, Lei H and Wang S 2020 Nat. Commun. 11 4002
[60] Kang M, Fang S, Ye L, Po H C, Denlinger J, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Checkelsky J G and Comin R 2020 Nat. Commun. 11 4004
[61] Mazet T, Ihou-Mouko H, Marêché J F and Malaman B 2006 Euro. Phys. J. B 51 173
[62] Chen D, Le C, Fu C, Lin H, Schnelle W, Sun Y and Felser C 2021 Phys. Rev. B 103 144410
[63] Ma W, Xu X, Wang Z, Zhou H, Marshall M, Qu Z, Xie W and Jia S 2021 Phys. Rev. B 103 235109
[64] Mazet T, Tobola J, Venturini G and Malaman B 2002 Phys. Rev. B 65 104406
[65] Song Z, Chen Z, Kan X, Wang S, Zhu C, Wang M, Zheng G and Ma Y 2024 J. Magn. Magn. Mater. 601 172182
[66] Chafik El Idrissi B, Venturini G and Malaman B 1991 Materials Research Bulletin 26 431
[67] Zhang H, Liu C, Zhang Y, Hou Z, Fu X, Zhang X, Gao X and Liu J 2022 Appl. Phys. Lett. 121 202401
[68] Wang Q, Neubauer K J, Duan C, Yin Q, Fujitsu S, Hosono H, Ye F, Zhang R, Chi S, Krycka K, Lei H and Dai P 2021 Phys. Rev. B 103 014416
[69] Ghimire N J, Dally R L, Poudel L, Jones D C, Michel D, Magar N T, Bleuel M, McGuire M A, Jiang J S, Mitchell J F, Lynn J W and Mazin I I 2020 Science Advances 6 eabe2680
[70] Ma W, Xu X, Yin J X, Yang H, Zhou H, Cheng Z J, Huang Y, Qu Z, Wang F, Hasan M Z and Jia S 2021 Phys. Rev. Lett. 126 246602
[71] Gao L, Shen S, Wang Q, Shi W, Zhao Y, Li C, Cao W, Pei C, Ge J Y, Li G, Li J, Chen Y, Yan S and Qi Y 2021 Appl. Phys. Lett. 119 092405
[72] Venturini G, Idrissi B E and Malaman B 1991 J. Magn. Magn. Mater. 94 35
[73] Xu X, Yin J X, Ma W, Tien H J, Qiang X B, Reddy P V S, Zhou H, Shen J, Lu H Z, Chang T R, Qu Z and Jia S 2022 Nat. Commun. 13 1197
[74] Zeng H, Yu G, Luo X, Chen C, Fang C, Ma S, Mo Z, Shen J, Yuan M and Zhong Z 2022 J. Alloys Compd. 899 163356
[75] Kabir F, Filippone R, Dhakal G, Lee Y, Poudel N, Casey J, Sakhya A P, Regmi S, Smith R, Manfrinetti P, Ke L, Gofryk K, Neupane M and Pathak A K 2022 Phys. Rev. Mater. 6 064404
[76] Dhakal G, Cheenicode Kabeer F, Pathak A K, Kabir F, Poudel N, Filippone R, Casey J, Pradhan Sakhya A, Regmi S, Sims C, Dimitri K, Manfrinetti P, Gofryk K, Oppeneer P M and Neupane M 2021 Phys. Rev. B 104 L161115
[77] Suga K, Kindo K, Zhang L, Brück E, Buschow K, de Boer F, Lefèvre C and Venturini G 2006 J. Alloys Compd. 408-412 158
[78] Riberolles S X M, Han T, Slade T J, Wilde J M, Sapkota A, Tian W, Zhang Q, Abernathy D L, Sanjeewa L D, Bud’ko S L, Canfield P C, McQueeney R J and Ueland B G 2024 npj Quantum Materials 9 42
[79] Wang B, Yi E, Li L, Qin J, Hu B F, Shen B and Wang M 2022 Phys. Rev. B 106 125107
[80] Gorbunov D, Kuz’min M, Uhlířová K,Ž áček M, Richter M, Skourski Y and Andreev A 2012 J. Alloys Compd. 519 47
[81] Liu C, Zhang H, Li Z, Yan Y, Zhang Y, Hou Z and Fu X 2023 Surfaces and Interfaces 39 102866
[82] Asaba T, Thomas S M, Curtis M, Thompson J D, Bauer E D and Ronning F 2020 Phys. Rev. B 101 174415
[83] Lv B, Zhong R, Luo X, Ma S, Chen C, Wang S, Luo Q, Gao F, Fang C, Ren W and Zhong Z 2023 J. Alloys Compd. 957 170356
[84] Li M, Wang Q, Wang G, Yuan Z, Song W, Lou R, Liu Z, Huang Y, Liu Z, Lei H, Yin Z and Wang S 2021 Nat. Commun. 12 3129
[85] Liu Z, Zhao N, Li M, Yin Q, Wang Q, Liu Z, Shen D, Huang Y, Lei H, Liu K and Wang S 2021 Phys. Rev. B 104 115122
[86] Gu X, Chen C, Wei W S, Gao L L, Liu J Y, Du X, Pei D, Zhou J S, Xu R Z, Yin Z X, Zhao W X, Li Y D, Jozwiak C, Bostwick A, Rotenberg E, Backes D, Veiga L S I, Dhesi S, Hesjedal T, van der Laan G, Du H F, Jiang W J, Qi Y P, Li G, Shi W J, Liu Z K, Chen Y L and Yang L X 2022 Phys. Rev. B 105 155108
[87] Yin J X, Ma W, Cochran T A, Xu X, Zhang S S, Tien H J, Shumiya N, Cheng G, Jiang K, Lian B, Song Z, Chang G, Belopolski I, Multer D, Litskevich M, Cheng Z J, Yang X P, Swidler B, Zhou H, Lin H, Neupert T, Wang Z, Yao N, Chang T R, Jia S and Hasan M Z 2020 Nature 583 533
[88] Pokharel G, Teicher S M L, Ortiz B R, Sarte P M, Wu G, Peng S, He J, Seshadri R and Wilson S D 2021 Phys. Rev. B 104 235139
[89] Lee J and Mun E 2022 Phys. Rev. Mater. 6 083401
[90] Huang X, Cui Z, Huang C, Huo M, Liu H, Li J, Liang F, Chen L, Sun H, Shen B, Zhang Y and Wang M 2023 arXiv e-prints (Preprint 2303.00627)
[91] Pokharel G, Ortiz B, Chamorro J, Sarte P, Kautzsch L, Wu G, Ruff J and Wilson S D 2022 Phys. Rev. Mater. 6 104202
[92] Ishikawa H, Yajima T, Kawamura M, Mitamura H and Kindo K 2021 J. Phys. Soc. Jpn.
[93] Zhang X, Liu Z, Cui Q, Guo Q, Wang N, Shi L, Zhang H, Wang W, Dong X, Sun J, Dun Z and Cheng J 2022 Phys. Rev. Mater. 6 105001
[94] Mozaffari S, Meier W R, Madhogaria R P, Peshcherenko N, Kang S H, Villanova J W, Arachchige H W S, Zheng G, Zhu Y, Chen K W, Jenkins K, Zhang D, Chan A, Li L, Yoon M, Zhang Y and Mandrus D G 2024 Phys. Rev. B 110 035135
[95] Peng S, Han Y, Pokharel G, Shen J, Li Z, Hashimoto M, Lu D, Ortiz B R, Luo Y, Li H, Guo M, Wang B, Cui S, Sun Z, Qiao Z, Wilson S D and He J 2021 Phys. Rev. Lett. 127 266401
[96] Sante D D, Bigi C, Eck P, Enzner S, Consiglio A, Pokharel G, Carrara P, Orgiani P, Polewczyk V, Fujii J, King P D C, Vobornik I, Rossi G, Zeljkovic I, Wilson S D, Thomale R, Sangiovanni G, Panaccione G and Mazzola F 2023 Nat. Phys. 19 1135
[97] Hu Y, Wu X, Yang Y, Gao S, Plumb N C, Schnyder A P, Xie W, Ma J and Shi M 2022 Science Advances 8 eadd2024
[98] Hu Y, Ma J, Li Y, Jiang Y, Gawryluk D J, Hu T, Teyssier J, Multian V, Yin Z, Xu S, Shin S, Plokhikh I, Han X, Plumb N C, Liu Y, Yin J X, Guguchia Z, Zhao Y, Schnyder A P, Wu X, Pomjakushina E, Hasan M Z, Wang N and Shi M 2024 Nat. Commun. 15 1658
[99] Arachchige H W S, Meier W R, Marshall M, Matsuoka T, Xue R, McGuire M A, Hermann R P, Cao H and Mandrus D 2022 Phys. Rev. Lett. 129 216402
[100] 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
[101] 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
[102] Yang S Y, Wang Y, Ortiz B R, Liu D, Gayles J, Derunova E, GonzalezHernandez R, Šmejkal L, Chen Y, Parkin S S P, Wilson S D, Toberer E S, McQueen T and Ali M N 2020 Science Advances 6 eabb6003
[103] Zhou X, Liu H, Wu W, Jiang K, Shi Y, Li Z, Sui Y, Hu J and Luo J 2022 Phys. Rev. B 105 205104
[104] 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
[105] Liu Z, Zhao N, Yin Q, Gong C, Tu Z, Li M, Song W, Liu Z, Shen D, Huang Y, Liu K, Lei H and Wang S 2021 Phys. Rev. X 11 041010
[106] Lou R, Fedorov A, Yin Q, Kuibarov A, Tu Z, Gong C, Schwier E F, Büchner B, Lei H and Borisenko S 2022 Phys. Rev. Lett. 128 036402
[107] Neupert T, Denner M M, Yin J X, Thomale R and Hasan M Z 2022 Nat. Phys. 18 137
[108] Yang Y, Fan W, Zhang Q, Chen Z, Chen X, Ying T, Wu X, Yang X, Meng F, Li G, Li S, Gu L, Qian T, Schnyder A P, gang Guo J and Chen X 2021 Chin. Phys. Lett. 38 127102
[109] Yin Q, Tu Z, Gong C, Tian S and Lei H 2021 Chin. Phys. Lett. 38 127401
[110] Cai Y, Wang J, Wang Y, Hao Z, Liu Y, Zhou L, Sui X, Jiang Z, Xu S, Ge H, Ma X M, Zhang C, Shen Z, Yang Y, Jiang Q, Liu Z, Ye M, Shen D, Liu Y, Cui S, Wang L, Liu C, Lin J, Huang B, Wu L, Zhuang J, He H, Zhang W, Mei J W and Chen C 2023 Advanced Electronic Materials 9 2300212
[111] Ma H, Liu G, Yang L, Yin Q, Ding P, Liu Z, Lu H Y, Lei H and Wang S 2023 Phys. Rev. B 108 235129
[112] Shi M, Yu F, Yang Y, Meng F, Lei B, Luo Y, Sun Z, He J, Wang R, Jiang Z, Liu Z, Shen D, Wu T, Wang Z, Xiang Z, Ying J and Chen X 2022 Nat. Commun. 13 2773
[113] Liu E, Sun Y, Kumar N, Muechler L, Sun A, Jiao L, Yang S Y, Liu D, Liang A, Xu Q, Kroder J, Süß V, Borrmann H, Shekhar C, Wang Z, Xi C, Wang W, Schnelle W, Wirth S, Chen Y, Goennenwein S T B and Felser C 2018 Nat. Phys. 14 1125
[114] Zhang T, Yilmaz T, Vescovo E, Li H X, Moore R G, Lee H N, Miao H, Murakami S and McGuire M A 2022 npj Computational Materials 8 155
[115] Cao L, Liu G, Zhang Y, Yu Z, Lv Y Y, Yao S H, Zhou J, Chen Y B and Chen Y F 2023 Phys. Rev. Mater. 7 084203
[116] Pradhan S K, Pradhan S, Mal P, Rambabu P, Lakhani A, Das B, Chittari B L, Turpu G R and Das P 2024 J. Phys.: Condens. Matter 36 445601
[117] Ye L, Chan M K, McDonald R D, Graf D, Kang M, Liu J, Suzuki T, Comin R, Fu L and Checkelsky J G 2019 Nat. Commun. 10 4870
[118] Hartmann O and Wäppling R 1987 Physica Scripta 35 499
[119] Kulshreshtha S K and Raj P 1981 J. Phys. F: Metal Phys. 11 281
[120] Moore R G, Okamoto S, Li H, Meier W R, Miao H, Lee H N, Hashimoto M, Lu D, Dagotto E, McGuire M A and Sales B C 2022 Phys. Rev. B 106 115141
[121] Meier W R, Yan J, McGuire M A, Wang X, Christianson A D and Sales B C 2019 Phys. Rev. B 100 184421
[122] Xie T, Yin Q, Wang Q, Kolesnikov A I, Granroth G E, Abernathy D L, Gong D, Yin Z, Lei H and Podlesnyak A 2022 Phys. Rev. B 106 214436
[123] Bernhard J, Lebech B and Beckman O 1984 J. Phys. F: Metal Phys. 14 2379
[124] Bernhard J, Lebech B and Beckman O 1988 J. Phys. F: Metal Phys. 18 539
[125] 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
[126] Yi S, Liao Z, Wang Q, Ma H, Liu J, Teng X, Dai P, Dai Y, Zhao J, Qi Y, Xu B and Qiu X 2024 arXiv e-prints (Preprint 2403.09950)
[127] 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
[128] Teng X, Tam D W, Chen L, Tan H, Xie Y, Gao B, Granroth G E, Ivanov A, Bourges P, Yan B, Yi M and Dai P 2024 Phys. Rev. Lett. 133 046502
[129] Wu S, Klemm M L, Shah J, Ritz E T, Duan C, Teng X, Gao B, Ye F, Matsuda M, Li F, Xu X, Yi M, Birol T, Dai P and Blumberg G 2024 Phys. Rev. X 14 011043
[130] 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
[131] Yin J X, Jiang Y X, Teng X, Hossain M 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
[132] 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 V, Cao S and Bao J K 2023 arXiv e-prints (Preprint 2308.09034)
[133] Zhou S and Wang Z 2022 Nat. Commun. 13 7288
[134] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[135] Yin J X, Shumiya N, Mardanya S, Wang Q, Zhang S S, Tien H J, Multer D, Jiang Y, Cheng G, Yao N, Wu S, Wu D, Deng L, Ye Z, He R, Chang G, Liu Z, Jiang K, Wang Z, Neupert T, Agarwal A, Chang T R, Chu C W, Lei H and Hasan M Z 2020 Nat. Commun. 11 4003
[136] Sales B C, Meier W R, Parker D S, Yin L, Yan J Q, May A F, Calder S, Aczel A A, Zhang Q, Li H, Yilmaz T, Vescovo E, Miao H, Hermann R P and McGuire M A 2022 arXiv e-prints (Preprint 2201.12421)
[137] Tan H and Yan B 2023 Phys. Rev. Lett. 130 266402
[138] Cao S, Xu C, Fukui H, Manjo T, Dong Y, Shi M, Liu Y, Cao C and Song Y 2023 Nat. Commun. 14 7671
[139] Gu Y, Ritz E T, Meier W R, Blockmon A, Smith K, Madhogaria R P, Mozaffari S, Mandrus D, Birol T and Musfeldt J L 2023 npj Quantum Materials 8 58
[140] Lee S, Won C, Kim J, Yoo J, Park S, Denlinger J, Jozwiak C, Bostwick A, Rotenberg E, Comin R, Kang M and Park J H 2024 npj Quantum Materials 9 15
[141] Zhang X, Hou J, Xia W, Xu Z, Yang P, Wang A, Liu Z, Shen J, Zhang H, Dong X, Uwatoko Y, Sun J, Wang B, Guo Y and Cheng J 2022 Materials 15 7372
[142] Guo K, Ye J, Guan S and Jia S 2023 Phys. Rev. B 107 205151
[143] Guo H M and Franz M 2009 Phys. Rev. B 80 113102
[144] Siegfried P E, Bhandari H, Jones D C, Ghimire M P, Dally R L, Poudel L, Bleuel M, Lynn J W, Mazin I I and Ghimire N J 2022 Communications Physics 5 58
[145] Li H, Zhao H, Jiang K, Wang Q, Yin Q, Zhao N N, Liu K, Wang Z, Lei H and Zeljkovic I 2022 Nat. Phys. 18 644
[146] 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
[147] Du F, Luo S, Ortiz B R, Chen Y, Duan W, Zhang D, Lu X, Wilson S D, Song Y and Yuan H 2021 Phys. Rev. B 103 L220504
[148] 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 and Cheng J G 2021 Phys. Rev. Lett. 126 247001
[149] Li H, Zhang T T, Yilmaz 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 and Miao H 2021 Phys. Rev. X 11 031050
[150] 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
[151] Yin Q, Tu Z, Gong C, Fu Y, Yan S and Lei H 2021 Chin. Phys. Lett. 38 037403
[152] Varma C M and Simons A L 1983 Phys. Rev. Lett. 51 138
[153] Miao H, Ishikawa D, Heid R, Le Tacon M, Fabbris G, Meyers D, Gu G D, Baron A Q R and Dean M P M 2018 Phys. Rev. X 8 011008
[154] Weber F, Rosenkranz S, Castellan J P, Osborn R, Hott R, Heid R, Bohnen K P, Egami T, Said A H and Reznik D 2011 Phys. Rev. Lett. 107 107403
[155] Weber F, Rosenkranz S, Castellan J P, Osborn R, Karapetrov G, Hott R, Heid R, Bohnen K P and Alatas A 2011 Phys. Rev. Lett. 107 266401
[156] Kogar A, Rak M S, Vig S, Husain A A, Flicker F, Joe Y I, Venema L, MacDougall G J, Chiang T C, Fradkin E, van Wezel J and Abbamonte P 2017 Science 358 1314
[157] Rice T M and Scott G K 1975 Phys. Rev. Lett. 35 120
[158] Hoesch M, Bosak A, Chernyshov D, Berger H and Krisch M 2009 Phys. Rev. Lett. 102 086402
[159] Miao H, Li H X, 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, Tan H and Yan B 2021 Phys. Rev. B 104 195132
[160] 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
[161] 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
[162] Zhao H, Li H, Ortiz B R, Teicher S M L, Park T, Ye M, Wang Z, Balents L, Wilson S D and Zeljkovic I 2021 Nature 599 216
[163] Ortiz B R, Teicher S M L, Kautzsch L, Sarte P M, Ratcliff N, Harter J, Ruff J P C, Seshadri R and Wilson S D 2021 Phys. Rev. X 11 041030
[164] Shumiya N, Hossain M 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
[165] 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
[166] Ni S, Ma S, Zhang Y, Yuan J, Yang H, Lu Z, Wang N, Sun J, Zhao Z, Li D, Liu S, Zhang H, Chen H, Jin K, Cheng J, Yu L, Zhou F, Dong X, Hu J, Gao H J and Zhao Z 2021 Chin. Phys. Lett. 38 057403
[167] Xiang Y, Li Q, Li Y, Xie W, Yang H, Wang Z, Yao Y and Wen H H 2021 Nat. Commun. 12 6727
[168] 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
[169] Yu F H, Ma D H, Zhuo W Z, Liu S Q, Wen X K, Lei B, Ying J J and Chen X H 2021 Nat. Commun. 12 3645
[170] Chen X, Zhan X, Wang X, Deng J, Liu X B, Chen X, Guo J G and Chen X 2021 Chin. Phys. Lett. 38 057402
[171] Tsirlin A A, Fertey P, Ortiz B R, Klis B, Merkl V, Dressel M, Wilson S D and Uykur E 2022 SciPost Phys. 12 049
[172] Qian T, Christensen M H, Hu C, Saha A, Andersen B M, Fernandes R M, Birol T and Ni N 2021 Phys. Rev. B 104 144506
[173] Schoop L M, Xie L S, Chen R, Gibson Q D, Lapidus S H, Kimchi I, Hirschberger M, Haldolaarachchige N, Ali M N, Belvin C A, Liang T, Neaton J B, Ong N P, Vishwanath A and Cava R J 2015 Phys. Rev. B 91 214517
[174] Nayak J, Wu S C, Kumar N, Shekhar C, Singh S, Fink J, Rienks E E D, Fecher G H, Parkin S S P, Yan B and Felser C 2017 Nat. Commun. 8 13942
[175] Fu Y, Zhao N, Chen Z, Yin Q, Tu Z, Gong C, Xi C, Zhu X, Sun Y, Liu K and Lei H 2021 Phys. Rev. Lett. 127 207002
[176] Cho S, Ma H, Xia W, Yang Y, Liu Z, Huang Z, Jiang Z, Lu X, Liu J, Liu Z, Li J, Wang J, Liu Y, Jia J, Guo Y, Liu J and Shen D 2021 Phys. Rev. Lett. 127 236401
[177] Hu Y, Wu X, Ortiz B R, Ju S, Han X, Ma J, Plumb N C, Radovic M, Thomale R, Wilson S D, Schnyder A P and Shi M 2022 Nat. Commun. 13 2220
[178] Kang M, Fang S, 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 and Comin R 2022 Nat. Phys. 18 301
[179] Belopolski I, Cochran T A, Liu X, Cheng Z J, Yang X P, Guguchia Z, Tsirkin S S, Yin J X, Vir P, Thakur G S, Zhang S S, Zhang J, Kaznatcheev K, Cheng G, Chang G, Multer D, Shumiya N, Litskevich M, Vescovo E, Kim T K, Cacho C, Yao N, Felser C, Neupert T and Hasan M Z 2021 Phys. Rev. Lett. 127 256403
[180] Muechler L, Liu E, Gayles J, Xu Q, Felser C and Sun Y 2020 Phys. Rev. B 101 115106
[181] Howard S, Jiao L, Wang Z, Morali N, Batabyal R, Kumar-Nag P, Avraham N, Beidenkopf H, Vir P, Liu E, Shekhar C, Felser C, Hughes T and Madhavan V 2021 Nat. Commun. 12 4269
[182] Fang H, Lyu M, Su H, Yuan J, Li Y, Xu L, Liu S, Wei L, Liu X, Yang H, Yao Q, Wang M, Guo Y, Shi W, Chen Y, Liu E and Liu Z 2023 Science China Materials 66 2032
[1] Simultaneous control of ferromagnetism and ferroelasticity by oxygen octahedral backbone stretching
Genhao Liang(梁根豪), Hui Cao(曹慧), Long Cheng(成龙), Junkun Zha(查君坤), Mingrui Bao(保明睿), Fei Ye(叶飞), Hua Zhou(周华), Aidi Zhao(赵爱迪), and Xiaofang Zhai(翟晓芳). Chin. Phys. B, 2024, 33(9): 097101.
[2] Alternating spin splitting of electronic and magnon bands in two-dimensional altermagnetic materials
Qian Wang(王乾), Da-Wei Wu(邬大为), Guang-Hua Guo(郭光华), Meng-Qiu Long(龙孟秋), and Yun-Peng Wang(王云鹏). Chin. Phys. B, 2024, 33(9): 097507.
[3] Dzyaloshinskii-Moriya interaction and field-free sub-10 nm topological magnetism in Fe/bismuth oxychalcogenides heterostructures
Yaoyuan Wang(王垚元), Long You(游龙), Kai Chang(常凯), and Hongxin Yang(杨洪新). Chin. Phys. B, 2024, 33(9): 097508.
[4] Experimental observation of Fermi-level flat band in novel kagome metal CeNi5
Xue-Zhi Chen(陈学智), Le Wang(王乐), Shuai Zhang(张帅), Ren-Jie Zhang(张任杰), Yi-Wei Cheng(程以伟), Yu-Dong Hu(胡裕栋), Cheng-Nuo Meng(孟承诺), Zheng-Tai Liu(刘正太), Bai-Qing Lv(吕佰晴), and Yao-Bo Huang(黄耀波). Chin. Phys. B, 2024, 33(8): 087402.
[5] Evolution of anomalous Hall effect in ferromagnetic Weyl semimetal NbxZr1-xCo2Sn
Bo-Wen Chen(陈博文) and Bing Shen(沈冰). Chin. Phys. B, 2024, 33(8): 087501.
[6] Crystal growth, magnetic and electrical transport properties of the kagome magnet RCr6Ge6 (R=Gd-Tm)
Xingyu Yang(杨星宇), Qingqi Zeng(曾庆祺), Miao He(何苗), Xitong Xu(许锡童), Haifeng Du(杜海峰), and Zhe Qu(屈哲). Chin. Phys. B, 2024, 33(7): 077501.
[7] Magnetic and electrical transport properties in GdAlSi and SmAlGe
Jing Gong(巩静), Huan Wang(王欢), Xiao-Ping Ma(马小平), Xiang-Yu Zeng(曾祥雨), Jun-Fa Lin(林浚发), Kun Han(韩坤), Yi-Ting Wang(王乙婷), and Tian-Long Xia(夏天龙). Chin. Phys. B, 2024, 33(7): 077302.
[8] First-principles study of structural and electronic properties of multiferroic oxide Mn3TeO6 under high pressure
Xiao-Long Pan(潘小龙), Hao Wang(王豪), Lei Liu(柳雷), Xiang-Rong Chen(陈向荣), and Hua-Yun Geng(耿华运). Chin. Phys. B, 2024, 33(7): 076102.
[9] Bimodal growth of Fe islands on graphene
Yi-Sheng Gu(顾翊晟), Qiao-Yan Yu(俞俏滟), Dang Liu(刘荡), Ji-Ce Sun(孙蓟策), Rui-Jun Xi(席瑞骏), Xing-Sen Chen(陈星森), Sha-Sha Xue(薛莎莎), Yi Zhang(章毅), Xian Du(杜宪), Xu-Hui Ning(宁旭辉), Hao Yang(杨浩), Dan-Dan Guan(管丹丹), Xiao-Xue Liu(刘晓雪), Liang Liu(刘亮), Yao-Yi Li(李耀义), Shi-Yong Wang(王世勇), Can-Hua Liu(刘灿华), Hao Zheng(郑浩), and Jin-Feng Jia(贾金锋). Chin. Phys. B, 2024, 33(6): 068104.
[10] Semiclassical approach to spin dynamics of a ferromagnetic S=1 chain
Chengchen Li(李承晨), Yi Cui(崔祎), Weiqiang Yu(于伟强), and Rong Yu(俞榕). Chin. Phys. B, 2024, 33(6): 067501.
[11] Layered kagome compound Na2Ni3S4 with topological flat band
Junyao Ye(叶君耀), Yihao Lin(林益浩), Haozhe Wang(王浩哲), Zhida Song(宋志达), Ji Feng(冯济), Weiwei Xie(谢韦伟), and Shuang Jia(贾爽). Chin. Phys. B, 2024, 33(5): 057103.
[12] Superconductivity in kagome metal ThRu3Si2
Yi Liu(刘艺), Jing Li(厉静), Wu-Zhang Yang(杨武璋), Jia-Yi Lu(卢佳依), Bo-Ya Cao(曹博雅), Hua-Xun Li(李华旬), Wan-Li Chai(柴万力), Si-Qi Wu(武思祺), Bai-Zhuo Li(李佰卓), Yun-Lei Sun(孙云蕾), Wen-He Jiao(焦文鹤), Cao Wang(王操), Xiao-Feng Xu(许晓峰), Zhi Ren(任之), and Guang-Han Cao(曹光旱). Chin. Phys. B, 2024, 33(5): 057401.
[13] Coexistence of antiferromagnetism and unconventional superconductivity in a quasi-one-dimensional flat-band system: Creutz lattice
Feng Xu(徐峰) and Lei Zhang(张磊). Chin. Phys. B, 2024, 33(3): 037402.
[14] Band structures of strained kagome lattices
Luting Xu(徐露婷) and Fan Yang(杨帆). Chin. Phys. B, 2024, 33(2): 027101.
[15] Angular and planar transport properties of antiferromagnetic V5S8
Xiao-Kai Wu(吴晓凯), Bin Wang(王彬), De-Tong Wu(吴德桐), Bo-Wen Chen(陈博文), Meng-Juan Mi(弭孟娟), Yi-Lin Wang(王以林), and Bing Shen(沈冰). Chin. Phys. B, 2024, 33(2): 027503.
No Suggested Reading articles found!