Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization

TL;DR

This paper explicitly characterizes fermionic and bosonic zero modes in the symmetric interacting Kitaev chain, revealing their structures and coexistence with other topological phases, and extends the analysis to hybrid systems.

Contribution

It provides explicit analytical forms of zero modes in the interacting Kitaev chain and its hybrid with the SSH model, including their coexistence and phase diagram insights.

Findings

Explicit many-body Majorana zero modes derived

Bosonic zero modes identified in trivial phase

Coexistence of fermionic and bosonic zero modes in hybrid system

Abstract

The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out perturbation expansion up to infinite order. We also give the analytic expressions of the bosonic zero modes in the topologically trivial phase. Our results are generalized to the hybrid fermion system comprised of the interacting Kitaev model and the Su-Schrieffer-Heeger model, in which we show that these two types of zero modes can coexist in certain region of its phase diagram.