English

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

Mesoscale and Nanoscale Physics 2015-12-14 v1 Soft Condensed Matter

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.

Keywords

Cite

@article{arxiv.1511.05218,
  title  = {Anomalous magneto-transport in disordered structures: classical edge-state percolation},
  author = {Walter Schirmacher and Benedikt Fuchs and Felix Höfling and Thomas Franosch},
  journal= {arXiv preprint arXiv:1511.05218},
  year   = {2015}
}

Comments

accepted for publication in Phys. Rev. Lett

R2 v1 2026-06-22T11:46:56.437Z