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

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作者
Jian-Jian Miao
Hui-Ke Jin
Fu-Chun Zhang
Yi Zhou
机构
[1] Zhejiang University,Department of Physics
[2] Nanjing University,Collaborative Innovation Centre of Advanced Microstructures
[3] University of Chinese Academy of Sciences,Kavli Institute for Theoretical Sciences
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Scientific Reports | / 8卷
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摘要
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.
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