Exact Solution for the Interacting Kitaev Chain at the Symmetric Point

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 fer...

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Bibliographic Details
Published inPhysical review letters Vol. 118; no. 26; p. 267701
Main Authors Miao, Jian-Jian, Jin, Hui-Ke, Zhang, Fu-Chun, Zhou, Yi
Format Journal Article
LanguageEnglish
Published United States 27.06.2017
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Summary: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.
ISSN:1079-7114
DOI:10.1103/physrevlett.118.267701