Topological phase boundary in a generalized Kitaev model

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

中国物理B ›› 2016, Vol. 25 ›› Issue (5): 57101-057101.doi: 10.1088/1674-1056/25/5/057101

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Topological phase boundary in a generalized Kitaev model

Da-Ping Liu(刘大平)

Department of Physics, Renmin University of China, Beijing 100872, China

收稿日期:2015-10-31 修回日期:2016-01-21 出版日期:2016-05-05 发布日期:2016-05-05
通讯作者: Da-Ping Liu E-mail:liudp@ruc.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB921704).

Topological phase boundary in a generalized Kitaev model

Da-Ping Liu(刘大平)

Department of Physics, Renmin University of China, Beijing 100872, China

Received:2015-10-31 Revised:2016-01-21 Online:2016-05-05 Published:2016-05-05
Contact: Da-Ping Liu E-mail:liudp@ruc.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB921704).

摘要/Abstract

摘要： 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.

关键词: topological superconductor, Majorana zero modes, entanglement spectrum

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.

Key words: topological superconductor, Majorana zero modes, entanglement spectrum

中图分类号: (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

71.10.Pm

03.65.Vf (Phases: geometric; dynamic or topological) 74.20.-z (Theories and models of superconducting state)

刘大平. Topological phase boundary in a generalized Kitaev model[J]. 中国物理B, 2016, 25(5): 57101-057101.

Da-Ping Liu(刘大平). Topological phase boundary in a generalized Kitaev model[J]. Chin. Phys. B, 2016, 25(5): 57101-057101.

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Topological phase boundary in a generalized Kitaev model

Topological phase boundary in a generalized Kitaev model

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