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Déformation de la surface de Fermi pour un système fortement anisotrope d'électrons en interaction

Abstract : We study some aspects of the physics of fermions in two dimensions, which is relevant for quasi one-dimensional organic conductors and for high temperature superconductors. We focus on the computation of the Fermi surface of interacting electronic systems, which is one of the crucial informations concerning the low-energy properties of these systems. We first give an energetic explanation of the interaction induced deformation of a toy model's Fermi surface, and we insist on the necessity of a self-consistent method. Then we explain how to perform the same calculation in a field-theoretical framework and how to improve the results thanks to a renormalization group. We apply this formalism to the quasi one-dimensional compounds. One of the chapters is a summary of an article in which we analyse the relevance of a transition between a spin-density wave state and a superconducting state, which is observed in renormalization flows of a two-dimensional fermionic model whose Fermi surface is a square with rounded corners.
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https://tel.archives-ouvertes.fr/tel-00002124
Contributor : Sebastien Dusuel <>
Submitted on : Friday, December 13, 2002 - 3:52:10 PM
Last modification on : Wednesday, December 9, 2020 - 3:09:20 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 7:00:09 PM

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  • HAL Id : tel-00002124, version 1

Citation

Sebastien Dusuel. Déformation de la surface de Fermi pour un système fortement anisotrope d'électrons en interaction. Physique mathématique [math-ph]. Université Paris-Diderot - Paris VII, 2002. Français. ⟨tel-00002124⟩

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