Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model

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dc.creatorEjima, Satoshi
dc.creatorGebhard, Florian
dc.creatorNishimoto, Satoshi
dc.date2006-05-17
dc.date.accessioned2026-07-07T07:39:34Z
dc.date.available2026-07-07T07:39:34Z
dc.descriptionWe study the one-dimensional extended Hubbard model with alternating size of the hopping integrals using the density-matrix renormalization group method. We calculate the spin gap, the Tomonaga-Luttinger parameter, and the charge-density-wave order parameter for various dimerizations, interaction strengths, and band fillings. At half band-filling the spin and charge excitations are gapped but these gaps disappear for infinitesimal hole doping. At quarter filling, the Umklapp scattering in the half-filled lower Peierls band generates a gap for the charge excitations but the gapless spin excitations can be described in terms of an effective antiferromagnetic Heisenberg model. Beyond a critical strength for the nearest-neighbor interaction, the dimerized extended Hubbard model at quarter filling develops a charge-density-wave ground state. The dimerization and the nearest-neighbor Coulomb interaction strongly reduce the Tomonaga-Luttinger parameter from its value for the bare Hubbard model. We discuss the relevance of our findings for the Bechgaard salts.
dc.description10 pages, 9 figures, to be submitted to PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0605433
dc.identifierhttp://arxiv.org/abs/cond-mat/0605433
dc.identifierPhys. Rev. B 74, 245110 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.245110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121495
dc.subjectStrongly Correlated Electrons
dc.titleTomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
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