On the localization regime of certain random operators within Hartree-Fock theory
Abstract
Localization results for a class of random Schr\"odinger 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 by Schenker in Schenkl 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.
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