Exact Solution for the Interacting Kitaev Chain at the Symmetric Point

Jian-Jian Miao, Hui-Ke Jin, Fu-Chun Zhang, and Yi Zhou
Phys. Rev. Lett. 118, 267701 – Published 27 June 2017
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Abstract

The Kitaev chain model with a nearest neighbor interaction U is solved exactly at the symmetry point Δ=t and chemical potential μ=0 in an open boundary condition. By applying two Jordan-Wigner transformations and a spin rotation, such a symmetric interacting model is mapped onto a noninteracting fermion model, which can be diagonalized exactly. The solutions include a topologically nontrivial phase at |U|<t and a topologically trivial phase at |U|>t. The two phases are related by dualities. Quantum phase transitions in the model are studied with the help of the exact solution.

  • Figure
  • Received 25 October 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.267701

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jian-Jian Miao1, Hui-Ke Jin1, Fu-Chun Zhang3,1,2, and Yi Zhou1,2

  • 1Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 2Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China
  • 3Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China

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Issue

Vol. 118, Iss. 26 — 30 June 2017

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