# Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain

## TL;DR

This paper investigates how disorder can induce Majorana zero modes in a dimerized Kitaev superconductor chain, revealing disorder-driven topological phase transitions and controllable MZMs.

## Contribution

It demonstrates that disorder can create topologically nontrivial phases with Majorana zero modes in a dimerized Kitaev chain, and shows how to control these modes via dimerization.

## Key findings

- Disorder induces topologically nontrivial phases hosting MZMs.
- Dimerization parameter regulates the appearance of MZMs.
- Self-consistent Born approximation confirms numerical results.

## Abstract

Motivated by the recent experimental observation of the topological Anderson insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH) model, we study disorder effects on a dimerized Kitaev superconductor chain which is regarded as the superconductor version of the SSH model. By computing the real-space winding number and the zero-bias differential conductance, we analyze the topological phase transitions occurring in a dimerized Kitaev superconductor chain with disorder. It is found that disorder can induce a topologically nontrivial superconductor phase hosting Majorana zero modes (MZMs). We can regulate the appearance of disorder-induced MZMs by adjusting the dimerization parameter. Finally, we use the self-consistent Born approximation method to verify the numerical results.