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 [Vanishing of Drude Weight in Interacting Fermions on Z(d) with Quasi-Periodic Disorder] / Mastropietro, Vieri. - 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 [Vanishing of Drude Weight in Interacting Fermions on Z(d) 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
