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L’étude des systèmes fortement corrélés à une dimension avec interactions à longue-portée

Abstract : During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, we demonstrate that power-law couplings lead to an algebraic decay of correlations at long distances in disordered quantum wires. In the second chapter, we analysed an extended Hubbard model where particles interact via a finite-range potential that induces frustration and new exotic phases. In the third chapter, we demonstrated that restoring energy extensivity has an influence on the low-energy properties of quantum model in the thermodynamic limit. Finally, we provide preliminary results on the modification of Anderson localization due to the coupling to a cavity mode.
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Submitted on : Monday, April 19, 2021 - 5:39:07 PM
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Botzung_Thomas_2019_ED222.pdf
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  • HAL Id : tel-03202350, version 1

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Thomas Botzung. L’étude des systèmes fortement corrélés à une dimension avec interactions à longue-portée. Condensed Matter [cond-mat]. Université de Strasbourg; Università degli studi (Bologne, Italie), 2019. English. ⟨NNT : 2019STRAF062⟩. ⟨tel-03202350⟩

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