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 $u_{\rho }$, $u_{\sigma }$. Two different regimes occur: at short distances, $x\ll \xi =(u_{\rho }-u_{\sigma })/4t_{\perp }$, the two chain model is not sensitive to $t_{\perp }$, while for larger separation $x\gg \xi$ 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)

12 pages, LATEX(REVTEX), SISSA 150/92/CM/MB

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