Scaling limit of the one-dimensional attractive Hubbard model: The non-half-filled band case

F. Woynarovich, P. Forgács

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The scaling limit of the less than half-filled attractive Hubbard chain is studied. This is a continuum limit in which the particle number per lattice site, n, is kept finite (0 <n <1) while adjusting the interaction and bandwidth in such a way that there is a finite mass gap. We construct this limit both for the spectrum and the secular equations describing the excitations. We find that similarly to the half-filled case, the limiting model has a massive and a massless sector. The structure of the massive sector is closely analogous to that of the half-filled band and consequently to the chiral invariant SU(2) Gross-Neveu (CGN) model. The structure of the massless sector differs from that of the half-filled band case: the excitations are of particle and hole type, however they are not uniquely defined. The energy and the momentum of this sector exhibits a tower structure corresponding to a conformal field theory with c = 1 and SU(2)xSU(2) symmetry. The energy-momentum spectrum and the zero temperature free energy of the states with finite density coincides with that of the half-filled case supporting the identification of the limiting model with the SU(2) symmetric CGN theory.

Original languageEnglish
Pages (from-to)701-730
Number of pages30
JournalNuclear Physics B
Volume538
Issue number3
Publication statusPublished - Jan 18 1999

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sectors
scaling
towers
excitation
kinetic energy
adjusting
free energy
continuums
bandwidth
momentum
symmetry
interactions
temperature
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Scaling limit of the one-dimensional attractive Hubbard model : The non-half-filled band case. / Woynarovich, F.; Forgács, P.

In: Nuclear Physics B, Vol. 538, No. 3, 18.01.1999, p. 701-730.

Research output: Contribution to journalArticle

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