Gyrotropic Percolation

TL;DR

This paper investigates spiral (gyrotropic) percolation related to electron systems in magnetic fields, revealing an anomalously narrow scaling region, a higher percolation threshold, and corrected critical exponent values.

Contribution

It introduces the concept of gyrotropic percolation, analyzes its unique scaling behavior, and corrects previous estimates of the critical exponent.

Findings

Scaling behavior near threshold is anomalously narrow

Percolation threshold is higher than in isotropic systems

Critical exponent of correlation length is corrected

Abstract

Spiral (gyrotropic) percolation which is related to the behavior of an electron system in strong magnetic fields is studied. It is shown that the scaling behavior area near the percolation threshold is anomalously narrow. The percolation threshold is higher than in a system with usual isotropic percolation (i.e., it is at higher concentrations of undamaged structure elements). Our old value of the critical exponent of the correlation length is corrected.