Non-commuting coordinates, exotic particles, & anomalous anyons in the Hall effect

TL;DR

This paper reviews exotic particles and anomalous anyons with arbitrary gyromagnetic factors, analyzing their behavior in planar electric and magnetic fields, revealing that the Hall effect is inevitable for all g-values except 2 at critical field strengths.

Contribution

It introduces a generalized non-relativistic limit for anyons with arbitrary gyromagnetic factors, extending previous exotic particle models and analyzing their Hall effect behavior.

Findings

Hall effect occurs for all g≠2 at critical field values

Generalization of exotic particles to arbitrary g

Review of anomalous anyon models with arbitrary gyromagnetic factors

Abstract

Our previous ``exotic'' particle, together with the more recent anomalous anyon model (which has arbitrary gyromagnetic factor $g$) are reviewed. The non-relativistic limit of the anyon generalizes the exotic particle which has $g=0$ to any $g$.When put into planar electric and magnetic fields, the Hall effect becomes mandatory for all $g\neq2$, when the field takes some critical value.