On the role of twisted statistics in the noncommutative degenerate electron gas

TL;DR

This paper investigates how twisted statistics influence the ground state energy of a noncommutative degenerate electron gas, revealing first-order energy corrections due to modified two-particle correlations.

Contribution

It introduces the effect of twisted anti-commutation relations on the energy calculations of a noncommutative electron gas, highlighting corrections absent in previous models.

Findings

First-order energy corrections due to twisted statistics

Modified two-particle correlations affect interaction energy

Twisted statistics influence ground state energy calculations

Abstract

We consider the problem of a degenerate electron gas in the background of a uniformly distributed positive charge, ensuring overall neutrality of the system, in the presence of non-commutativity. In contrast to previous calculations that did not include twisted statistics, we find corrections to the ground state energy already at first order in perturbation theory when the twisted statistics is taken into account. These corrections arise since the interaction energy is sensitive to two particle correlations, which are modified for twisted anti-commutation relations.