Correlation-function asymptotic expansions: Universality of prefactors of the one-dimensional Hubbard model

J. M P Carmelo, K. Penc

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We show that the prefactors of all terms of the one-dimensional (1D) Hubbard model correlation-function asymptotic expansions have a universal form, as the corresponding critical exponents. In addition to calculating such prefactors, 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.

Original languageEnglish
Article number113112
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number11
DOIs
Publication statusPublished - 2006

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Hubbard model
Organic conductors
Optical lattices
expansion
Nanostructures
Scattering
Atoms
Liquids
conductors
exponents
energy
liquids
scattering
atoms

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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AB - We show that the prefactors of all terms of the one-dimensional (1D) Hubbard model correlation-function asymptotic expansions have a universal form, as the corresponding critical exponents. In addition to calculating such prefactors, 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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