Influence of long-range interaction on Majorana zero modes

TL;DR

This paper investigates how long-range many-body interactions affect Majorana zero modes in Kitaev chains, revealing that stronger and more distant interactions reduce their stability and lifetime, impacting their potential for quantum computing.

Contribution

It provides new insights into the detrimental effects of long-range interactions on Majorana zero modes, highlighting the importance of interaction range and strength.

Findings

Long-range interactions suppress Majorana zero mode lifetime.

Increasing interaction strength decreases Majorana stability.

Distant site interactions are more destructive than nearest neighbor interactions.

Abstract

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on Majorana zero modes present in Kitaev chains. We show that these interactions can suppress the lifetime of the Majorana zero mode. We also discuss the role of long-range interactions on the Majorana state's spatial structure, and the overlap of the Majorana states localized at opposite ends of the chain. We have determined that increasing the interaction strength leads to decreasing of the stability of the Majorana modes. Moreover, we found out that interaction between particles located at more distant sites plays a more destructive role than the interaction between nearest neighbors.