We give the first rigorous (non perturbative) proof of Luttinger liquid behavior in the one dimensional Hubbard model, for small repulsive interaction and values of the density different from half filling. The analysis is based on the combination of multiscale analysis with Ward identities based on a hidden and approximate local chiral gauge invariance. No use is done of exact solutions or special integrability properties of the Hubbard model, and the results can be in fact easily generalized to include non local interactions, magnetic fields or interaction with external potentials.

Mastropietro, V. (2005). Rigorous proof of luttinger liquid behavior in the 1d Hubbard model. JOURNAL OF STATISTICAL PHYSICS, 121, 373-432 [10.1007/s10955-005-7007-0].

Rigorous proof of luttinger liquid behavior in the 1d Hubbard model

MASTROPIETRO, VIERI
2005-01-01

Abstract

We give the first rigorous (non perturbative) proof of Luttinger liquid behavior in the one dimensional Hubbard model, for small repulsive interaction and values of the density different from half filling. The analysis is based on the combination of multiscale analysis with Ward identities based on a hidden and approximate local chiral gauge invariance. No use is done of exact solutions or special integrability properties of the Hubbard model, and the results can be in fact easily generalized to include non local interactions, magnetic fields or interaction with external potentials.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Interacting fermions; Renormalization Group; Spin; Ward identities
http://www.springerlink.com/content/74588186n7g44763/
Mastropietro, V. (2005). Rigorous proof of luttinger liquid behavior in the 1d Hubbard model. JOURNAL OF STATISTICAL PHYSICS, 121, 373-432 [10.1007/s10955-005-7007-0].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/32556
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