Critical exponents of the degenerate Hubbard model

authored by

Holger Frahm, Andreas Schadschneider

Abstract

The authors study the critical behaviour of the SU(N) generalization of the one-dimensional Hubbard model with arbitrary degeneracy N. Using the integrability of this model by Bethe ansatz they are able to compute the spectrum of the low-lying excitations in a large but finite box for arbitrary values of the electron density and of the Coulomb interaction. This information is used to determine the asymptotic behaviour of correlation functions at zero temperature in the presence of external fields lifting the degeneracy. The critical exponents depend on the system parameters through an N*N dressed charge matrix implying the relevance of the interaction of charge- and spin-density waves.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

University of Cologne

Type

Article

Journal

Journal of Physics A: Mathematical and General

Volume

26

Pages

1463-1480

No. of pages

18

ISSN

0305-4470

Publication date

07.04.1993

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics, Mathematical Physics, Physics and Astronomy(all)

Electronic version(s)

https://arxiv.org/abs/cond-mat/9207026 (Access: Open)
https://doi.org/10.1088/0305-4470/26/7/009 (Access: Unknown)