Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases

TL;DR

This paper investigates how anisotropic superconducting correlations influence fermionic zero-energy states in topological phases, revealing the dependence of Majorana modes on solitonic excitations in a hybrid SSH-Kitaev model.

Contribution

It introduces a hybrid SSH-Kitaev model with anisotropic superconductivity to analyze zero-energy states and Majorana modes in finite chains with domain walls.

Findings

Zero-energy states are affected by anisotropic superconducting parameters.

Majorana modes at chain ends depend on solitonic excitations at the domain wall.

The model reveals a dynamic interplay between domain wall states and superconducting correlations.

Abstract

Topological phases of matter have been used as a fertile realm of intensive discussions about fermionic fractionalization. In this work, we study the effects of anisotropic superconducting correlations in the fermionic fractionalization on the topological phases. We consider a hybrid version of the SSH and Kitaev models with an anisotropic superconducting order parameter to investigate the unusual states with zero energy that emerges in a finite chain. To obtain these zero energy solutions, we built a chain with a well-defined domain wall at the middle of the chain. Our solutions indicate an interesting dynamic between the zero-energy state around the domain wall and the superconducting correlation parameters. Finally, we find that the presence of an isolated Majorana at the ends of the chain is strongly dependent on the existence of the solitonic excitation at the middle of the chain.