Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions

TL;DR

This paper investigates the critical behavior of disordered Majorana fermion chains, revealing that the non-interacting infinite randomness fixed point remains stable even with finite interactions, challenging prior assumptions.

Contribution

It demonstrates through advanced DMRG simulations that the Majorana IRFP is resilient to interactions, providing new insights into disordered quantum criticality.

Findings

Majorana IRFP is stable against finite interactions

Interactions do not destabilize the infinite randomness critical point

Results challenge previous claims about interaction effects

Abstract

The quantum critical properties of interacting fermions in the presence of disorder are still not fully understood. While it is well known that for Dirac fermions, interactions are irrelevant to the non-interacting infinite randomness fixed point (IRFP), the problem remains largely open in the case of Majorana fermions which further display a much richer disorder-free phase diagram. Here, pushing the limits of DMRG simulations, we carefully examine the ground-state of a Majorana chain with both disorder and interactions. Building on appropriate boundary conditions and key observables such as entanglement, energy gap, and correlations, we strikingly find that the non-interacting Majorana IRFP is very stable against finite interactions, in contrast with previous claims.