Thermodynamic Limits of Electronic Systems

TL;DR

This paper reviews the thermodynamic and scaling limits of electronic structure models in condensed matter physics, analyzing three progressively complex models: Thomas-Fermi, Hartree-Fock, and Kohn-Sham DFT.

Contribution

It introduces mathematical approaches to implement thermodynamic limits across different electronic structure models, highlighting their differences and complexities.

Findings

Comparison of thermodynamic limits across models

Mathematical frameworks for scaling limits

Insights into model complexities and applicability

Abstract

We review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three models of increasing chemical complexity and mathematical difficulty: (1) Thomas-Fermi like models; (2) Hartree-Fock like models; and (3) Kohn-Sham density functional theory models.