Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice

doi:10.1088/1674-1056/ac3ecb

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 57302-057302.doi: 10.1088/1674-1056/ac3ecb

Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice

Wen-Xiang Guo(郭文祥) and Wu-Ming Liu(刘伍明)^1,2

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China

收稿日期:2021-10-11 修回日期:2021-11-25 发布日期:2022-04-18
通讯作者: Wu-Ming Liu,E-mail:wliu@iphy.ac.cn E-mail:wliu@iphy.ac.cn
基金资助:
This work was supported by the National Key R&D Program of China (Grant Nos.2021YFA1400900,2021YFA0718300,and 2021YFA1400243) and the National Natural Science Foundation of China (Grant No.61835013).

Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice

Wen-Xiang Guo(郭文祥) and Wu-Ming Liu(刘伍明)^1,2

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China

Received:2021-10-11 Revised:2021-11-25 Published:2022-04-18
Contact: Wu-Ming Liu,E-mail:wliu@iphy.ac.cn E-mail:wliu@iphy.ac.cn
About author:2021-12-1
Supported by:
This work was supported by the National Key R&D Program of China (Grant Nos.2021YFA1400900,2021YFA0718300,and 2021YFA1400243) and the National Natural Science Foundation of China (Grant No.61835013).

摘要/Abstract

摘要： We investigate the SU(2) gauge effects on bilayer honeycomb lattice thoroughly. We discover a topological Lifshitz transition induced by the non-Abelian gauge potential. Topological Lifshitz transitions are determined by topologies of Fermi surfaces in the momentum space. Fermi surface consists of N = 8 Dirac points at π-flux point instead of N = 4 in the trivial Abelian regimes. A local winding number is defined to classify the universality class of the gapless excitations. We also obtain the phase diagram of gauge fluxes by solving the secular equation. Furthermore, the novel edge states of biased bilayer nanoribbon with gauge fluxes are also investigated.

关键词: topological Lifshitz transition, SU(2) gauge field, bilayer honeycomb lattice

Abstract: We investigate the SU(2) gauge effects on bilayer honeycomb lattice thoroughly. We discover a topological Lifshitz transition induced by the non-Abelian gauge potential. Topological Lifshitz transitions are determined by topologies of Fermi surfaces in the momentum space. Fermi surface consists of N = 8 Dirac points at π-flux point instead of N = 4 in the trivial Abelian regimes. A local winding number is defined to classify the universality class of the gapless excitations. We also obtain the phase diagram of gauge fluxes by solving the secular equation. Furthermore, the novel edge states of biased bilayer nanoribbon with gauge fluxes are also investigated.

Key words: topological Lifshitz transition, SU(2) gauge field, bilayer honeycomb lattice

中图分类号: (Quantum phase transitions)

73.43.Nq

64.70.Tg (Quantum phase transitions) 73.50.-h (Electronic transport phenomena in thin films) 73.21.Ac (Multilayers)

Wen-Xiang Guo(郭文祥) and Wu-Ming Liu(刘伍明). Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice[J]. 中国物理B, 2022, 31(5): 57302-057302.

Wen-Xiang Guo(郭文祥) and Wu-Ming Liu(刘伍明). Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice[J]. Chin. Phys. B, 2022, 31(5): 57302-057302.

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Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice

Topological Lifshitz transition and novel edge states induced by non-Abelian SU(2) gauge field on bilayer honeycomb lattice

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