Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

doi:10.1088/1674-1056/27/6/067101

中国物理B ›› 2018, Vol. 27 ›› Issue (6): 67101-067101.doi: 10.1088/1674-1056/27/6/067101

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

Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

Yiming Wang(王一鸣), Zhidan Li(李志聃), Qiang Han(韩强)

1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

收稿日期:2018-01-29 修回日期:2018-03-22 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: Qiang Han E-mail:hanqiang@ruc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.11274379) and the Research Funds of Renmin University of China (Grant No.14XNLQ07).

Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

Yiming Wang(王一鸣)¹, Zhidan Li(李志聃)¹, Qiang Han(韩强)^1,2

1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

Received:2018-01-29 Revised:2018-03-22 Online:2018-06-05 Published:2018-06-05
Contact: Qiang Han E-mail:hanqiang@ruc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.11274379) and the Research Funds of Renmin University of China (Grant No.14XNLQ07).

摘要/Abstract

摘要：

The fermionic and bosonic zero modes of the one-dimensional (1D) interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out a perturbation expansion up to infinite order. We also give the analytic expressions of the bosonic zero modes in the topologically trivial phase. Our results are generalized to the hybrid fermion system comprised of the interacting Kitaev model and the Su-Schrieffer-Heeger (SSH) model, in which we show that these two types of zero modes can coexist in a certain region of its phase diagram.

关键词: Majorana zero modes, bosonic zero modes, interacting Kitaev chain

Abstract:

Key words: Majorana zero modes, bosonic zero modes, interacting Kitaev chain

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

71.10.Pm

74.20.-z (Theories and models of superconducting state) 75.10.Pq (Spin chain models)

王一鸣, 李志聃, 韩强. Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization[J]. 中国物理B, 2018, 27(6): 67101-067101.

Yiming Wang(王一鸣), Zhidan Li(李志聃), Qiang Han(韩强). Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization[J]. Chin. Phys. B, 2018, 27(6): 67101-067101.

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Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

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