3 papers
math-ph2026
Kohn-Sham models for encapsulated two-dimensional materials
Éric Cancès, David Gontier, Solal Perrin-Roussel
We study Kohn-Sham Density Functional Theory (DFT) models describing the electronic structure of two-dimensional materials placed in a three-dimensional environment, encapsulated b…
math.NA2025
A mathematical analysis of the discretized IPT-DMFT equations
E. Cancès, A. Kirsch, S. Perrin--Roussel
In a previous contribution (E. Cancès, A. Kirsch and S. Perrin--Roussel, arXiv:2406.03384), we have proven the existence of a solution to the Dynamical Mean-Field Theory (DMFT) equ…
math-ph2024
A mathematical analysis of IPT-DMFT
Éric Cancès, Alfred Kirsch, Solal Perrin-Roussel
We provide a mathematical analysis of the Dynamical Mean-Field Theory, a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. We…