Hartree-Fock ground state of the composite fermion metal

TL;DR

This paper uses the Hartree-Fock approximation to analyze the ground state of the composite fermion metal, revealing a dominant exchange interaction and a singular energy jump at the Fermi surface, with no correction to the RPA Fermi velocity.

Contribution

It provides a detailed Hartree-Fock analysis of the composite fermion metal, highlighting the effects of exchange interactions on the energy spectrum.

Findings

Logarithmic exchange term dominates the spectrum

Infinite energy jump at the Fermi momentum

No correction to RPA Fermi velocity

Abstract

Within the Hartree-Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of the single-particle energy at the Fermi momentum. It is shown that the Hartree-Fock result brings no corrections to the RPA Fermi velocity.