Fractional Exclusion Statistics and Two Dimensional Electron Systems

TL;DR

This paper demonstrates that a two-dimensional electron gas with short-range interactions can be effectively described using fractional exclusion statistics, especially relevant for quantum dots at various temperatures.

Contribution

It introduces a framework linking short-range interactions in 2D electron systems to fractional exclusion statistics using the Thomas-Fermi approximation.

Findings

Fractional exclusion statistics describes 2D electron gases with short-range interactions.

The approach applies at zero and finite temperatures.

Quantum dots are a potential physical realization.

Abstract

Using the Thomas-Fermi approximation, we show that an interacting two dimensional electron gas may be described in terms of fractional exclusion statistics at zero and finite temperatures when the interaction has a short-range component. We argue that a likely physical situation for this phenomenon to occur may exist in two dimensional quantum dots.