Non-Hermitian Kitaev chain with complex periodic and quasiperiodic potentials*

We study the topological properties of the one-dimensional non-Hermitian Kitaev model with complex either periodic or quasiperiodic potentials. We obtain the energy spectrum and the phase diagrams of the system by using the transfer matrix method as well as the topological invariant. The phase transition points are given analytically. The Majorana zero modes in the topological nontrivial regimes are obtained. Focusing on the quasiperiodic potential, we obtain the phase transition from the topological superconducting phase to the Anderson localization, which is accompanied with the Anderson localization-delocalization transition in this non-Hermitian system. We also find that the topological regime can be reduced by increasing the non-Hermiticity.

Automated summary

This study investigates the topological properties of the one-dimensional non-Hermitian Kitaev model with complex either periodic or quasiperiodic potentials. The energy spectrum and phase diagrams of the system are obtained using the transfer matrix method, and the phase transition points are analytically determined. Majorana zero modes are found in the topological nontrivial regimes. Particularly focusing on quasiperiodic potentials, the phase transition from topological superconducting phase to Anderson localization is identified, accompanied by the Anderson localization-delocalization transition in this non-Hermitian system. It is also observed that increasing non-Hermiticity can reduce the topological regime.