On the Reduced Hartree-Fock Equations with a Small Anderson Type Background Charge Distribution

TL;DR

This paper proves the existence of a unique stationary solution to the reduced Hartree-Fock equations with a small Anderson background charge, by explicitly calculating the screening mass at positive temperature.

Contribution

It provides a rigorous proof of uniqueness for the REHF with Anderson background, including explicit computation of the screening mass at positive temperature.

Findings

Unique stationary solution established

Explicit screening mass computed at positive temperature

Theoretical framework for REHF with Anderson background

Abstract

We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by explicitly computing a screening mass at positive temperature.