Abstract

We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of Δ = t, and by using density-matrix-renormalization-group method for interacting system with nearest neighbor repulsion interaction. We suggest and examine an edge correlation function of Majorana fermions to characterize the long range order in the topological superconducting states and study the phase diagram of the interating Kitaev chain.

Details

Title
Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
Author
Jian-Jian Miao 1 ; Hui-Ke, Jin 1 ; Fu-Chun, Zhang 2 ; Zhou, Yi 1 

 Department of Physics, Zhejiang University, Hangzhou, P. R. China; Collaborative Innovation Centre of Advanced Microstructures, Nanjing University, Nanjing, China 
 Department of Physics, Zhejiang University, Hangzhou, P. R. China; Collaborative Innovation Centre of Advanced Microstructures, Nanjing University, Nanjing, China; Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing, China 
First page
1
Publication year
2018
Publication date
Jan 2018
Publisher
Nature Publishing Group
e-ISSN
20452322
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1993417221
Copyright
© 2017. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.