Pseudomagnetic suppression of non-Hermitian skin effect

TL;DR

This paper demonstrates that pseudomagnetic fields in a 2D lattice can suppress the non-Hermitian skin effect, offering a magnetic-field-free method to control localization in wave systems.

Contribution

It introduces a novel approach using pseudomagnetic fields to suppress the non-Hermitian skin effect, expanding the methods for localization control in non-Hermitian systems.

Findings

Pseudomagnetic fields push skin modes into the bulk.

Reduction of skin topological area with increasing pseudomagnetic field.

Restoration of Landau level energies under pseudomagnetic fields.

Abstract

It has recently been shown that the non-Hermitian skin effect can be suppressed by magnetic fields. In this work, using a two-dimensional tight-binding lattice, we demonstrate that a pseudomagnetic field can also lead to the suppression of the non-Hermitian skin effect. With an increasing pseudomagnetic field, the skin modes are found to be pushed into the bulk, accompanied by the reduction of skin topological area and the restoration of Landau level energies. Our results provide a time-reversal invariant route to localization control and could be useful in various classical wave devices that are able to host the non-Hermitian skin effect but inert to magnetic fields.