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math-ph2025
Numerical computation of the density of states of aperiodic multiscale Schrödinger operators
Eric Cancès, Daniel Massatt, Long Meng +2
Computing the electronic structure of incommensurate materials is a central challenge in condensed matter physics, requiring efficient ways to approximate spectral quantities such…
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…
math-ph2023
Semiclassical analysis of two-scale electronic Hamiltonians for twisted bilayer graphene
Eric Cancès, Long Meng
This paper investigates the mathematical properties of independent-electron models for twisted bilayer graphene by examining the density-of-states of corresponding single-particle…