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| HAL : hal-00655383, version 3 |
| arXiv : 1112.6177 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (28-12-2011) | v2 (08-08-2012) | v3 (20-08-2012) |
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| A rigorous approach to the magnetic response in disordered systems |
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| Philippe Briet 1Baptiste Savoie 1 |
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| (28/12/2011) |
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| 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 physically relevant random potentials which model not only crystalline disordered solids, but also amorphous solids. |
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| 1 : | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Domaine | : | Mathématiques/Physique mathématique Physique/Matière Condensée/Gaz Quantiques Physique/Matière Condensée/Mécanique statistique |
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| Operator theory – Random Scrhrödinger operators – quantum statistical mechanics – diamagnetism – disordered solids. |
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| hal-00655383, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00655383 | |
| oai:hal.archives-ouvertes.fr:hal-00655383 | |
| Contributeur : Baptiste Savoie | |
| Soumis le : Vendredi 17 Août 2012, 18:13:42 | |
| Dernière modification le : Lundi 20 Août 2012, 10:28:31 | |
