Volume 47, Number 1, July 1999
|Page(s)||63 - 69|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Exact solution of a generalized Gross-Neveu-Thirring model
Institut de Physique Théorique, École Polytechnique Fédérale de Lausanne CH-1015 Lausanne, Switzerland
Accepted: 23 April 1999
We propose a model that describes approximately the strong-coupling limit of interacting electrons and holes in a one-dimensional quantum wire. An exact solution for this model at the symmetric point of equal electron and hole masses and for a particular ratio of the forward- (f) to backward-scattering (g) is obtained by means of the Bethe ansatz. The model discussed is a hybrid between the chiral invariant Gross-Neveu model of quantum chromodynamics and the massive Thirring model. While the eigenstates exhibit a huge degeneracy in colour (spin) space as in the Hubbard model, the charge excitation spectrum comprizes excitons, bi-excitons and other electron-hole complexes (droplets) for not too repulsive interactions (). In the regime of strong repulsion (), the bi-excitons and large droplets disappear from the spectrum.
PACS: 71.10.-w – Theories and models of many electron systems / 71.27.+a – Strongly correlated electron systems; heavy fermions / 71.35.-y – Excitons and related phenomena
© EDP Sciences, 1999
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