40. SALMA LAHBABI
Information acquired: 2025
SALMA LAHBABI is an academic who published a paper in 2019 entitled Anderson localization in the Kohn-Sham model for disordered crystals. SALMA LAHBABI published this work as part of a team: Lahbabi, Salma. Here is a description of this work: In ,,his talk, we consider disordered quantum crystals in the simplest Kohn-Sham model with no exchange-correlation, that is, the reduced Hartree-Fock (rHF) framework. The nuclei are supposed to be classical particles arranged around a reference periodic configuration. In particular, we consider a family of nuclear distributions $ mu ( omega, cdot) $, where $ omega$ spans a probability space $ Omega$. Under some assumptions on the nuclear distribution $ mu$, the average energy per unit volume admits a minimizer, which is a solution of the self-consistent rHF equations. We mainly deal with short-range Yukawa interaction and obtain partial results for Coulomb systems. We also study localization properties of the mean-field Hamiltonian numerically. Joint works with Eric Canca¨s and Mathieu Lewin..