A RIGOROUS APPROACH TO THE MAGNETIC RESPONSE IN DISORDERED SYSTEMS

PHILIPPE BRIET, BAPTISTE SAVOIE
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
more » ... hysically relevant random potentials which model not only crystalline disordered solids, but also amorphous solids.
doi:10.1142/s0129055x12500225 fatcat:nhoxqbym55b5nil4rgffny6deu