Scaling approach to related disordered stochastic and free-fermion models

TL;DR

This paper introduces a scaling method to analyze disordered free-fermion models, revealing how disorder-induced localization interacts with asymmetric driving, with implications for related stochastic systems.

Contribution

It presents a novel scaling approach to study disordered non-conserving free-fermion systems and their localization properties under asymmetric driving.

Findings

Disorder induces localization in free-fermion systems.

Scaling reveals competition between disorder effects and asymmetric driving.

Implications for stochastic systems with spatially random rates.

Abstract

Motivated by mapping from a stochastic system with spatially random rates, we consider disordered non-conserving free-fermion systems using a scaling procedure for the equations of motion. This approach demonstrates disorder-induced localization acting in competition with the asymmetric driving. We discuss the resulting implications for the original stochastic system.