Topological transition and Majorana zero modes in 2D non-Hermitian chiral superconductor with anisotropy

Dong-Yang Jing; Huan-Yu Wang; Wu-Ming Liu

doi:10.1088/1361-648X/ac54e2

Topological transition and Majorana zero modes in 2D non-Hermitian chiral superconductor with anisotropy

J Phys Condens Matter. 2022 Mar 3;34(19). doi: 10.1088/1361-648X/ac54e2.

Authors

Dong-Yang Jing^{1

2}, Huan-Yu Wang^{1

2}, Wu-Ming Liu^{1

2

3}

Affiliations

¹ Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China.
² School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, People's Republic of China.
³ Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, People's Republic of China.

PMID: 35158344
DOI: 10.1088/1361-648X/ac54e2

Abstract

We study a non-Hermitian chiral topological superconductor system on two dimensional square lattice, from which we obtained a rich topological phase diagram and established an exact relationship between topological charge flow of exceptional points in generalized Brillouin zone and change of topological properties. Its rich topological phase diagram is the result of competition between anisotropy and non-Hermitian effect. This system belongs to class D according to AZ classification of non-Hermitian systems. Each topological phase can be characterized by a 2DZnumber, which indicates the number of chiral edge modes, and two 1DZ₂numbers, which indicate the existence of zero modes at edge dislocations.

Keywords: anisotropy; non-Hermitian topological superconductor; topological invariants; zero modes.