We analyze the ground-state localization properties of an array of identical interacting spinless fermionic chains with quasirandom disorder, using nonperturbative renormalization-group methods. In the single- or two-chain case localization persists, while for a larger number of chains a different qualitative behavior is generically expected, unless the many-body interaction is vanishing. This is due to number-theoretical properties of the frequency, similar to the ones assumed in Kolmogorov-Arnold-Moser theory, and cancellations due to the Pauli principle, which in the single- or two-chain case imply that all the effective interactions are irrelevant; in contrast, for a larger number of chains, relevant effective interactions are present.

Coupled identical localized fermionic chains with quasirandom disorder / V. Mastropietro. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 95:7(2017 Feb 28). [10.1103/PhysRevB.95.075155]

Coupled identical localized fermionic chains with quasirandom disorder

V. Mastropietro
2017-02-28

Abstract

We analyze the ground-state localization properties of an array of identical interacting spinless fermionic chains with quasirandom disorder, using nonperturbative renormalization-group methods. In the single- or two-chain case localization persists, while for a larger number of chains a different qualitative behavior is generically expected, unless the many-body interaction is vanishing. This is due to number-theoretical properties of the frequency, similar to the ones assumed in Kolmogorov-Arnold-Moser theory, and cancellations due to the Pauli principle, which in the single- or two-chain case imply that all the effective interactions are irrelevant; in contrast, for a larger number of chains, relevant effective interactions are present.
electronic optical and magnetic materials; condensed matter physics
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/491440
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