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Vanishing of Drude weight in interacting fermions on Zd with quasi-periodic disorder

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 نشر من قبل Vieri Mastropietro
 تاريخ النشر 2021
  مجال البحث فيزياء
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We consider a fermionic many body system in Zd with a short range interaction and quasi-periodic disorder. In the strong disorder regime and assuming a Diophantine condition on the frequencies and on the chemical potential, we prove at $T=0$ the exponential decay of the correlations and the vanishing of the Drude weight, signaling Anderson localization in the ground state. The proof combines Ward Identities, Renormalization Group and KAM Lindstedt series methods.



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