We consider a fermionic many body system in Z(d) 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 non-metallic behavior in the ground state. The proof combines Ward Identities, Renormalization Group and KAM Lindstedt series methods.
Vanishing of drude weight in interacting fermions on ℤᵈ with quasi-periodic disorder / Mastropietro, V.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 186:3(2022), pp. 1-20. [10.1007/s10955-021-02868-1]
Vanishing of drude weight in interacting fermions on ℤᵈ with quasi-periodic disorder
Vieri Mastropietro
2022
Abstract
We consider a fermionic many body system in Z(d) 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 non-metallic behavior in the ground state. The proof combines Ward Identities, Renormalization Group and KAM Lindstedt series methods.| File | Dimensione | Formato | |
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