A rigorous approach to the magnetic response in disordered systems
Résumé
This paper is a part of an ongoing study on the diamagnetic behavior of a quantum gas of non-interacting charged particles subjected to an external uniform magnetic fi eld together with a random electric potential. We prove the existence of an almost-sure non-random thermodynamic limit for the grand-canonical pressure, magnetization and zero-fi eld orbital magnetic susceptibility. We also give an explicit formulation of these thermodynamic limits. Our results cover a wide class of physically relevant random potentials which model not only crystalline disordered solids, but also amorphous solids.
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