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

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

1994-06-17

arxiv.org/abs/cond-mat/9406073v1

Phys. Rev. B 50, 11429-11445 (1994)

Physics

Condensed Matter

33 pages, RevTeX 3.0, figures on request

Scientific paper

10.1103/PhysRevB.50.11429

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. % $(TMTSF)_2 X$ and $(TMTTF)_2 X$ ($X$ denotes $ClO_4$, $PF_6$, $Br$...).

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