Chasse aux papillons (quantiques) colorés : Une dérivation géométrique des équations TKNN
I consider the Hofstadter and the Harper operators, regarded as e ective models for a Bloch electron in a uniform magnetic eld, in the limit of weak and strong eld respectively. For each value of the Fermi energy in a spectral gap, I prove that the corresponding Fermi projectors exhibit a geometric...
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| Language: | ENG |
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2010
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| Online Access: | http://tel.archives-ouvertes.fr/tel-00674271 http://tel.archives-ouvertes.fr/docs/00/67/42/71/PDF/thesis.pdf |