Statistic behaviors of gauge-invariance-dominated 1D chiral current random model

TL;DR

This paper investigates the statistical behaviors of a 1D chiral current model dominated by gauge invariance, focusing on energy flow, quasiparticle dynamics, and chaotic behavior in disordered non-Hermitian systems.

Contribution

It introduces a novel 1D model with asymmetric hopping and complex bosonic potentials, analyzing gauge-invariance effects on quasiparticle chaos and energy transport.

Findings

Chaotic dynamics of chiral excitations identified

Gauge invariance influences quasiparticle behavior

Energy flow characteristics elucidated

Abstract

By considering energy flow, we construct the one-dimensional (1d) model consisting of the quasiparticles caused by asymmetric hopping (in carrier position space) or the complex bosonic potential whose varying gradience with a chiral ordering plays the role of ingredience of quasiparticles. A bosonic potential can be generated and the chaotic dynamics of chiral excitations after disorder average can be investigated in the presence of gauge invariance. This feature is also shared by the well-known non-Hermitian systems.