Observation of the Exceptional Skin Effect on a Non-Hermitian Flat band

TL;DR

This paper investigates the exceptional skin effect in non-Hermitian flat band systems, revealing unique spectral properties and experimental validation, advancing understanding of non-Hermitian physics and flat band phenomena.

Contribution

It introduces the concept of the exceptional skin effect on flat bands, demonstrating its formation without enclosing an area in the energy spectrum and providing experimental evidence.

Findings

ESE can occur with a single-point energy spectrum

Hybridization of flat and dispersive bands forms EPs

Experimental validation using elastic wave system

Abstract

Flat band and non-Hermitian are both significant conceptions in modern physics. In this study, we delve into the behaviours of flat bands in non-Hermitian systems, focusing on the interplay between the flat band and its dispersive counterparts, investigating the exceptional points (EPs) formed by them together, and the non-Hermitian skin effect (NHSE) on the flat band correspondingly generated, which we name as the exceptional skin effect (ESE). Employing non-Hermitian flat band under chiral/sublattice symmetry, where energy remains highly degenerate, we explore their unique properties. Unlike traditional NHSE which requires the enclosing of a non-zero area in the Bloch complex energy spectrum, the ESE on flat band can be generated with a Bloch complex energy spectrum consisting of one single point, i.e. enclosing no area. By analytically tuning non-Hermitian parameters, changes in the complex energy spectrum and Riemann surfaces are observed, revealing the formation of EPs through the hybridization of flat and dispersive bands while maintaining the dimension of the Hilbert subspace. Additionally, the wave functions of flat band exhibit ESE in specific parameter regions, contrary to the existing frameworks. Experimental validation is conducted using an elastic wave system with actively modulated non-Hermitian parameters, showcasing the impact on flat-band states and confirming the formation of ESE due to flat band-dispersive bands hybridization and correspondingly formed EPs. These results offer novel insights into non-Hermitian physics and present potential directions for further researches and applications in this field.