Exchange-correlation energy of a multicomponent two-dimensional electron gas

TL;DR

This paper extends a known exchange-correlation energy parametrization to multicomponent 2D electron gases, analyzing how small mass differences among components influence phase behavior and component concentrations.

Contribution

It introduces a simple mass dependence model for correlation energy and applies it to study phase diagrams in multicomponent 2D electron systems.

Findings

Small mass differences reduce lighter component concentrations at high densities.

The extended parametrization accurately describes multicomponent systems.

Phase diagram analysis reveals sensitivity to component mass disparities.

Abstract

We discuss the exchange-correlation energy of a multicomponent (multi-valley) two-dimensional electron gas and show that an extension of the recent parametrisation of the exchange-correlation energy by Attacalite et al (Phys. Rev. Lett. 88, 256601 (2002)) describes well also the multicomponent system. We suggest a simple mass dependence of the correlation energy and apply it to study the phase diagram of the multicomponent 2D electron (or hole) gas. The results show that even a small mass difference of the components (e.g. heavy and light holes) decreases the concentration of the lighter components already at relatively high densities.