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Spin-Charge separation in a model of two coupled chains

M. Fabrizio·A. Parola
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Abstract

A model of interacting electrons living on two chains coupled by a transverse hopping $t_\perp$, is solved exactly by bosonization technique. It is shown that $t_\perp$ does modify the shape of the Fermi surface also in presence of interaction, although charge and spin excitations keep different velocities $u_ρ$, $u_σ$. Two different regimes occur: at short distances, $x\ll ξ= (u_ρ- u_σ)/4t_\perp$, the two chain model is not sensitive to $t_\perp$, while for larger separation $x\gg ξ$ inter--chain hopping is relevant and generates further singularities in the electron Green function besides those due to spin-charge decoupling. (2 figures not included. Figure requests: FABRIZIO@ITSSISSA)

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M. Fabrizio, A. Parola. 1992-10-19. Spin-Charge separation in a model of two coupled chains. https://doi.org/10.1103/physrevlett.70.226

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