Correlation-function asymptotic expansions: pre-factors universality

Details Correlation-function asymptotic expansions: pre-factors universality Correlation-function asymptotic expansions: pre-factors universality

2005-08-29

arxiv.org/abs/cond-mat/0508704v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures

Scientific paper

We show that the pre-factors of all terms of the one-dimensional Hubbard model correlation-function asymptotic expansions have an universal form, as the corresponding critical exponents. In addition to calculating such pre-factors, our study clarifies the relation of the low-energy Tomonaga-Luttinger liquid behavior to the scattering mechanisms which control the spectral properties of the model at all energy scales. Our results are of general nature for many integrable interacting models and provide a broader understanding of the unusual properties of quasi-1D nanostructures, organic conductors, and optical lattices of fermionic atoms.

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