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A RIGOROUS APPROACH TO THE MAGNETIC RESPONSE IN DISORDERED SYSTEMS
2012
Reviews in Mathematical Physics
This paper is a part of an ongoing study on the diamagnetic behavior of a 3-dimensional quantum gas of non-interacting charged particles subjected to an external uniform magnetic field 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- field orbital magnetic susceptibility. We also give an explicit formulation of these thermodynamic limits. Our results cover a wide class of
doi:10.1142/s0129055x12500225
fatcat:nhoxqbym55b5nil4rgffny6deu