Anyon related correlations in two-dimensional Coulomb gases

TL;DR

This paper explores correlation effects in two-dimensional Coulomb gases using the anyon concept, comparing approximate analytic formulas with numerical and exact results to reveal novel correlation phenomena.

Contribution

It introduces the application of the anyon concept to analyze correlation effects in 2D Coulomb systems near the bosonic and fermionic limits, filling a gap in existing literature.

Findings

Correlation effects originate from bosonic systems.

Comparison with Monte-Carlo and exact methods validates the approach.

New correlations not previously considered are identified.

Abstract

In our recent paper (Phys. Rev. B 76, 075403 (2007)), we have applied the anyon concept to derive an approximate analytic formula for the ground state energy, which applies to two-dimensional (2D) Coulomb systems from the bosonic to the fermionic limit. We make use of these results here to draw attention to correlation effects for two special cases: the spin-polarized 2D fermion system and the charged anyon system close to the bosonic limit. By comparison with quantum Monte-Carlo data (for the former) and exact results obtained in the hypernetted-chain and Bogolyubov approximations (for the latter) we can conclude on correlation effects, which have their origin in the bosonic systems and come into play by using the anyon concept. To our knowledge, these correlations are not yet considered in the literature.