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Algebraic Properties of the Fermi Variety for Periodic Graph Operators
Jake Fillman, Wencai Liu, Rodrigo Matos
We present a method to estimate the number of irreducible components of the Fermi varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our main t…
math-ph2023
On the localization regime of certain random operators within Hartree-Fock theory
Rodrigo Matos
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.…