Spin-Charge separation in a model of two coupled chains

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)