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相互作用 Kitaev 链中的马约拉纳零模和长程边缘关联:解析解和密度矩阵重整化群研究。

Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study.

机构信息

Department of Physics, Zhejiang University, Hangzhou, 310013, P. R. China.

Collaborative Innovation Centre of Advanced Microstructures, Nanjing University, Nanjing, 210093, China.

出版信息

Sci Rep. 2018 Jan 11;8(1):488. doi: 10.1038/s41598-017-17699-y.

DOI:10.1038/s41598-017-17699-y
PMID:29323128
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5765186/
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.

摘要

我们通过使用非相互作用系统在零化学势下以及在Δ = t 的对称情况下的精确解析方法,以及通过使用最近邻排斥相互作用的密度矩阵重整化群方法,研究了一维具有开放边界条件的 Kitaev 模型。我们提出并检验了 Majorana 费米子的边缘相关函数,以表征拓扑超导态中的长程有序,并研究了相互作用 Kitaev 链的相图。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/87134d8b7866/41598_2017_17699_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/929db6fe767d/41598_2017_17699_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/30b6568e0e9c/41598_2017_17699_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/4e2b199c5418/41598_2017_17699_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/03cad57148c0/41598_2017_17699_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/8e6713f797ed/41598_2017_17699_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/94d158f16ad1/41598_2017_17699_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/b5a823e0f727/41598_2017_17699_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/6f0388bc2165/41598_2017_17699_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/87134d8b7866/41598_2017_17699_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/929db6fe767d/41598_2017_17699_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/30b6568e0e9c/41598_2017_17699_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/4e2b199c5418/41598_2017_17699_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/03cad57148c0/41598_2017_17699_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/8e6713f797ed/41598_2017_17699_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/94d158f16ad1/41598_2017_17699_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/b5a823e0f727/41598_2017_17699_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/6f0388bc2165/41598_2017_17699_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f023/5765186/87134d8b7866/41598_2017_17699_Fig9_HTML.jpg

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