Topological Magnons in Kitaev Magnets with Finite Dzyaloshinskii–Moriya Interaction at High Field
Kangkang Li*
Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract ：There have been intensive studies on Kitaev materials for the sake of realization of exotic states such as quantum spin liquid and topological orders. In realistic materials, the Kitaev interaction may coexist with the Dzyaloshinskii–Moriya interaction, and it is of challenge to distinguish their magnitudes separately. Here, we study the topological magnon excitations and related thermal Hall conductivity of kagome magnet exhibiting Heisenberg, Kitaev and Dzyaloshinskii–Moriya interactions exposed to a magnetic field. In a strong magnetic field perpendicular to the plane of the lattice ([111] direction) that brings the system into a fully polarized paramagnetic phase, we find that the magnon bands carry nontrivial Chern numbers in the full region of the phase diagram. Furthermore, there are phase transitions related to two topological phases with opposite Chern numbers, which lead to the sign changes of the thermal Hall conductivity. In the phase with negative thermal conductivity, the Kitaev interaction is relatively large and the width of the phase increases with the strength of Dzyaloshinskii–Moriya interaction. Hence, the present study will contribute to the understanding of related compounds.
收稿日期: 2022-11-23
出版日期: 2023-02-05
:
75.30.Ds
(Spin waves)
75.50.Dd
(Nonmetallic ferromagnetic materials)
75.70.Rf
(Surface magnetism)
75.90.+w
(Other topics in magnetic properties and materials)
[1] Rousochatzakis I, Reuther J, Thomale R, Rachel S, and Perkins N B 2015 Phys. Rev. X 5 041035 [2] Lee E K H, Schaffer R, Bhattacharjee S, and Kim Y B 2014 Phys. Rev. B 89 045117 [3] Nasu J, Udagawa M, and Motome Y 2014 Phys. Rev. Lett. 113 197205 [4] Takayama T, Kato A, Dinnebier R, Nuss J, Kono H, Veiga L S I, Fabbris G, Haskel D, and Takagi H 2015 Phys. Rev. Lett. 114 077202 [5] Jahromi S S, Kargarian M, Masoudi S F, and Langari A 2016 Phys. Rev. B 94 125145 [6] Jahromi S S, Orús R, Kargarian M, and Langari A 2018 Phys. Rev. B 97 115161 [7] Kishimoto M, Morita K, Matsubayashi Y, Sota S, Yunoki S, and Tohyama T 2018 Phys. Rev. B 98 054411 [8] Kimchi I and Vishwanath A 2014 Phys. Rev. B 89 014414 [9] Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241 [10] Moriya T 1960 Phys. Rev. 120 91 [11] Gao Y H, Hickey C, Xiang T, Trebst S, and Chen G 2019 Phys. Rev. Res. 1 013014 [12] Zhang L C, Zhu F, Go D, Lux F R, dos S F J, Lounis S, Su Y, Blügel S, and Mokrousov Y 2021 Phys. Rev. B 103 134414 [13] Joshi D G 2018 Phys. Rev. B 98 060405 [14] Chern L E, Zhang E Z, and Kim Y B 2021 Phys. Rev. Lett. 126 147201 [15] McClarty P A, Dong X Y, Gohlke M, Rau J G, Pollmann F, Moessner R, and Penc K 2018 Phys. Rev. B 98 060404 [16] Li K 2022 arXiv:2209.04133 [cond-mat.str-el] [17] Katsura H, Nagaosa N, and Lee P A 2010 Phys. Rev. Lett. 104 066403 [18] Onose Y, Ideue T, Katsura H, Shiomi Y, Nagaosa N, and Tokura Y 2010 Science 329 297 [19] Hirschberger M, Chisnell R, Lee Y S, and Ong N P 2015 Phys. Rev. Lett. 115 106603 [20] Chisnell R, Helton J S, Freedman D E, Singh D K, Bewley R I, Nocera D G, and Lee Y S 2015 Phys. Rev. Lett. 115 147201 [21] Owerre S A 2016 J. Phys.: Condens. Matter 28 386001 [22] Zhang L F, Ren J, Wang J S, and Li B W 2013 Phys. Rev. B 87 144101 [23] Li K K, Li C Y, Hu J P, Li Y, and Fang C 2017 Phys. Rev. Lett. 119 247202 [24] Li K K and Hu J P 2017 Chin. Phys. Lett. 34 077501 [25] Cao X D, Chen K, and He D H 2015 J. Phys.: Condens. Matter 27 166003 [26] Morita K, Kishimoto M, and Tohyama T 2018 Phys. Rev. B 98 134437 [27] Yang Y, Perkins N B, Koç F, Lin C H, and Rousochatzakis I 2020 Phys. Rev. Res. 2 033217 [28] Holstein T and Primakoff H 1940 Phys. Rev. 58 1098 [29] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045 [30] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 [31] Xiao D, Chang M C, and Niu Q 2010 Rev. Mod. Phys. 82 1959 [32] Hatsugai Y 1993 Phys. Rev. Lett. 71 3697 [33] Matsumoto R and Murakami S 2011 Phys. Rev. Lett. 106 197202 [34] Matsumoto R and Murakami S 2011 Phys. Rev. B 84 184406 [35] Matsumoto R, Shindou R, and Murakami S 2014 Phys. Rev. B 89 054420
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
DONG Zhan-Hai. 120° Ordered Phase of Triangular Lattice Antiferromagnetic Heisenberg Model with Long Range Couplings
[13]
LU Feng;SONG Yun;CHEN Dong-Meng;ZOU Liang-Jian. Orbital Order and Orbital Excitations in Degenerate Itinerant Electron Systems
[14]
WU Bao-Jian;GAO Xiang. Magnetostatic-Wave-Based Magneto-Optic Pulse Compression by Control of Phase Mismatching
[15]
WU Bao-Jian;QIU Kun. Magneto-Optic Coupling Theory for Guided Optical Waves and Magnetostatic Waves Using an Arbitrarily Tilted Bias Magnetic Field
2023, Vol. 40 
