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

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