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
来源：
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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  • [41] Yazdani A(2011)Multiple signatures of topological transitions for interacting fermions in chain lattices Phys. Rev. B 84 085114-undefined
  • [42] Mourik V(2011)Interacting topological phases in multiband nanowires Phys. Rev. B 84 094503-undefined
  • [43] Rokhinson LP(2012)Majorana fermions in strongly interacting helical liquids New J. Phys. 14 125018-undefined
  • [44] Liu X(2015)Majorana edge states in interacting two-chain ladders of fermions Phys. Rev. B 91 165402-undefined
  • [45] Furdyna JK(2017)Strongly interacting Majorana modes in an array of Josephson junctions Sci. Rep. 7 14640-undefined
  • [46] Das A(2012)Strongly interacting Majorana fermions Phys. Rev. Lett. 109 121407-undefined
  • [47] Deng MT(2014)Engineering of many-body Majorana states in a topological insulator/s-wave superconductor heterostructure Phys. Rev. B 90 156402-undefined
  • [48] Churchill HOH(2015)Interplay of disorder and interaction in Majorana quantum wires Phys. Rev. Lett. 115 075103-undefined
  • [49] Lee EJ(2011)Nonperturbative phase diagram of interacting disordered Majorana nanowires Phys. Rev. B 83 075102-undefined
  • [50] Nadj-Perge S(2011)Localized majorana-like modes in a number-conserving setting: An exactly solvable model Phys. Rev. B 83 115122-undefined
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