Anomalous magneto-transport in disordered structures: classical edge-state percolation

TL;DR

This paper uses simulations to study magneto-transport in disordered 2D systems near localization transition, revealing a new universality class due to edge-state percolation and weak-link effects.

Contribution

It introduces a novel dynamic universality class for magneto-transport driven by edge-state percolation in disordered systems.

Findings

Dynamic exponents differ from conventional percolation.

Edge trajectories form weak links affecting transport.

Predictions made for frequency-dependent conductivity.

Abstract

By event-driven molecular dynamics simulations we investigate magneto-transport in a two-dimensional model with randomly distributed scatterers close to the field-induced localization transition. This transition is generated by percolating skipping orbits along the edges of obstacle clusters. The dynamic exponents differ significantly from those of the conventional transport problem on percolating systems, thus establishing a new dynamic universality class. This difference is tentatively attributed to a weak-link scenario, which emerges naturally due to barely overlapping edge trajectories. We make predictions for the frequency-dependent conductivity and discuss implications for active colloidal circle swimmers in a heterogeneous environment.