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

Satoshi Ejima·Florian Gebhard·Satoshi Nishimoto
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Abstract

We 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.

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Satoshi Ejima, Florian Gebhard, Satoshi Nishimoto. 2006-05-17. Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model. https://doi.org/10.1103/physrevb.74.245110

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