Anomalous Magnetotransport in Disordered Structures: Classical Edge-State Percolation.

Area of Science:

• Condensed matter physics
• Statistical mechanics

Background:

• Magnetotransport phenomena in two-dimensional (2D) systems are crucial for understanding electronic behavior.
• Localization transitions, particularly field-induced ones, are complex and influenced by system geometry and disorder.
• Percolation theory provides a framework for studying transitions in disordered systems.

Purpose of the Study:

• Investigate magnetotransport in a 2D model with random scatterers near a field-induced localization transition.
• Identify the dynamic universality class governing this transition.
• Explore the implications of observed phenomena for related physical systems.

Main Methods:

• Event-driven molecular dynamics simulations were employed.
• The model incorporates randomly distributed scatterers.
• The focus is on the regime near the field-induced localization transition driven by percolating skipping orbits.

Main Results:

• A new dynamic universality class was established, distinct from conventional transport problems on percolating systems.
• Dynamic exponents were found to differ significantly.
• A weak-link scenario, arising from overlapping edge trajectories, is proposed as the cause.

Conclusions:

• The findings establish a novel dynamic universality class for magnetotransport near localization transitions.
• The weak-link scenario offers a new perspective on transport in disordered systems.
• Predictions for frequency-dependent conductivity are made, with implications for active colloidal swimmers.