Affiliation:
1. Department of Mathematics, PUC-Rio , 22451-900 Rio de Janeiro, Brazil
Abstract
Localization results for a class of random Schrödinger operators within the Hartree–Fock approximation are proved in two regimes: Large disorder and weak disorder/extreme energies. A large disorder threshold λHF analogous to the threshold λAnd obtained in Schenker [Lett. Math. Phys. 105(1), 1–9 (2015)] is provided. We also show certain stability results for this large disorder threshold by giving examples of distributions for which λHF converges to λAnd, or to a number arbitrarily close to it, as the interaction strength tends to zero.
Funder
Division of Mathematical Sciences
Subject
Mathematical Physics,Statistical and Nonlinear Physics