Details
| Original language | English |
|---|---|
| Pages (from-to) | 1463-1480 |
| Number of pages | 18 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 26 |
| Issue number | 7 |
| Publication status | Published - 7 Apr 1993 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and General, Vol. 26, No. 7, 07.04.1993, p. 1463-1480.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Critical exponents of the degenerate Hubbard model
AU - Frahm, Holger
AU - Schadschneider, Andreas
PY - 1993/4/7
Y1 - 1993/4/7
N2 - 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.
AB - 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.
U2 - 10.1088/0305-4470/26/7/009
DO - 10.1088/0305-4470/26/7/009
M3 - Article
AN - SCOPUS:21144475068
VL - 26
SP - 1463
EP - 1480
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 7
ER -