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Exact Solution for the Interacting Kitaev Chain at the Symmetric Point
Jian-Jian Miao1, Hui-Ke Jin1, Fu-Chun Zhang1,2,3
1Department of Physics, Zhejiang University, Hangzhou 310027, China.
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|
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