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

Details Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model

2005-02-17

arxiv.org/abs/cond-mat/0502415v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1007/s10955-005-7007-0

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 bases 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

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