English

Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases

Statistical Mechanics 2007-05-23 v1 Strongly Correlated Electrons

Abstract

We investigate the elementary excitations of charge and spin degrees for the 1D interacting two-component Bose and Fermi gases by means of the discrete Bethe ansatz equations. Analytic results in the limiting cases of strong and weak interactions are derived, where the Bosons are treated in the repulsive and the fermions in the strongly attractive regime. We confirm and complement results obtained previously from the Bethe ansatz equations in the thermodynamic limit.

Keywords

Cite

@article{arxiv.cond-mat/0512486,
  title  = {Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases},
  author = {M. T. Batchelor and M. Bortz and X. W. Guan and N. Oelkers},
  journal= {arXiv preprint arXiv:cond-mat/0512486},
  year   = {2007}
}

Comments

12 pages, 1 figure