Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder

Abstract

We document the ground state phase diagram of the one-dimensional Kitaev chain with quasi-periodic disorder in the presence of two-body interactions. Our data were obtained for systems of \(L=1000\) sites using large-scale density-matrix renormalization group numerics and is benchmarked against known results for the clean system. We demonstrate that moderate quasi-periodic disorder stabilizes the topological phase both for repulsive and attractive interactions. For larger disorder strengths, the system features re-entrance behavior and multiple phase transitions.

Phase diagram as a function of the chemical potential and the disorder strength for repulsive interactions