Mirror skin effect and its electric circuit simulation

TL;DR

This paper explores how mirror symmetry influences non-Hermitian skin effects, introducing the mirror skin effect, and demonstrates its realization and implications in electric circuit models.

Contribution

It proposes a new type of skin effect driven by mirror symmetry and shows how it can be observed in electric circuits with specific boundary conditions.

Findings

Mirror skin effect depends on boundary conditions along mirror invariant lines.

Electric circuits can simulate and reveal the mirror skin effect.

Localized eigenstates lead to anomalous voltage responses.

Abstract

We analyze impacts of crystalline symmetry on the non-Hermitian skin effects. Focusing on mirror symmetry, we propose a novel type of skin effects, a mirror skin effect, which results in significant dependence of energy spectrum on the boundary condition only for the mirror invariant line in the two-dimensional Brillouin zone. This effect arises from the topological properties characterized by a mirror winding number. We further reveal that the mirror skin effect can be observed for an electric circuit composed of negative impedance converters with current inversion where switching the boundary condition significantly changes the admittance eigenvalues only along the mirror invariant lines. Furthermore, we demonstrate that extensive localization of the eigenstates for each mirror sector result in an anomalous voltage response.