Charge gap in the one-dimensional dimerized Hubbard model at quarter-filling

Karlo Penc, Frédéric Mila

Research output: Contribution to journalArticle

94 Citations (Scopus)

Abstract

We propose a quantitative estimate of the charge gap that opens in the one-dimensional dimerized Hubbard model at quarter-filling due to dimerization, which makes the system effectively half-filled, and to repulsion, which induces umklapp scattering processes. Our estimate is expected to be valid for any value of the repulsion and of the parameter describing the dimerization. It is based on analytical results obtained in various limits (weak coupling, strong coupling, large dimerization) and on numerical results obtained by exact diagonalization of small clusters. We consider two models of dimerization: alternating hopping integrals and alternating on-site energies. The former should be appropriate for the Bechgaard salts, the latter for compounds where the stacks are made of alternating TMTSF and TMTTF molecules.

Original languageEnglish
Pages (from-to)11429-11445
Number of pages17
JournalPhysical Review B
Volume50
Issue number16
DOIs
Publication statusPublished - Jan 1 1994

ASJC Scopus subject areas

  • Condensed Matter Physics

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