Topological phase boundary in a generalized Kitaev model

doi:10.1088/1674-1056/25/5/057101

Abstract We study the effects of the next-nearest-neighbor hopping and nearest-neighbor interactions on topological phases in a one-dimensional generalized Kitaev model. In the noninteracting case, we define a topological number and calculate exactly the phase diagram of the system. With addition of the next-nearest-neighbor hopping, the change of phase boundary between the topological and trivial regions can be described by an effective shift of the chemical potential. In the interacting case, we obtain the entanglement spectrum, the degeneracies of which correspond to the topological edge modes, by using the infinite time-evolving block decimation method. The results show that the interactions change the phase boundary as adding an effective chemical potential which can be explained by the change of the average number of particles.

Keywords: topological superconductor Majorana zero modes entanglement spectrum

Received: 31 October 2015
Revised: 21 January 2016
Accepted manuscript online:

PACS:	71.10.Pm	(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
	03.65.Vf	(Phases: geometric; dynamic or topological)
	74.20.-z	(Theories and models of superconducting state)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB921704).

Corresponding Authors: Da-Ping Liu
E-mail: liudp@ruc.edu.cn

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Da-Ping Liu(刘大平) Topological phase boundary in a generalized Kitaev model 2016 Chin. Phys. B 25 057101

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