Topological phases of a non-Hermitian coupled SSH ladder

doi:10.1088/1674-1056/ab3f94

Abstract We study topological phases of a non-Hermitian coupled Su-Schrieffer-Heeger (SSH) ladder. The model originates from the brick-wall lattices in the two-row limit. The Hamiltonian can be brought into block off-diagonal form and the winding number can be defined with the determine of the block off-diagonal matrix. We find the determine of the off-diagonal matrix has nothing to do with the interleg hopping of the ladder. So the topological phases of the model are the same as those of the chains. Further numerical simulations verify the analysis.

Keywords: topological phase non-Hermitian Su-Schrieffer-Heeger (SSH) ladder winding number

Received: 21 June 2019
Revised: 08 August 2019
Accepted manuscript online:

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	05.70.Fh	(Phase transitions: general studies)
	64.70.Tg	(Quantum phase transitions)

Fund: Project supported by Hebei Provincial Natural Science Foundation of China (Grant Nos. A2012203174 and A2015203387) and the National Natural Science Foundation of China (Grant Nos. 10974169 and 11304270).

Corresponding Authors: C S Liu
E-mail: csliu@ysu.edu.cn

Cite this article:

J S Liu(刘建森), Y Z Han(韩炎桢), C S Liu(刘承师) Topological phases of a non-Hermitian coupled SSH ladder 2019 Chin. Phys. B 28 100304

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