Existence of the thermodynamic limit for disordered quantum Coulomb systems

TL;DR

This paper proves the existence of the thermodynamic limit for a disordered quantum Coulomb system with randomly perturbed nuclei and electrons, using an ergodic approach to handle Coulomb interactions.

Contribution

It introduces a new proof of the thermodynamic limit for disordered quantum Coulomb systems based on an ergodic method, extending previous approaches.

Findings

Thermodynamic limit exists for disordered quantum Coulomb systems.

The method applies to systems with randomly perturbed nuclei and electrons.

Interactions are governed by Coulomb forces.

Abstract

Following a recent method introduced by C. Hainzl, J.P. Solovej and the second author of this article, we prove the existence of the thermodynamic limit for a system made of quantum electrons, and classical nuclei whose positions and charges are randomly perturbed in an ergodic fashion. All the particles interact through Coulomb forces.