Details
Original language | English |
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Pages (from-to) | 2115-2132 |
Number of pages | 18 |
Journal | Journal of Physics A: General Physics |
Volume | 23 |
Issue number | 11 |
Publication status | Published - 7 Jun 1990 |
Externally published | Yes |
Abstract
The finite-size effects in the spectrum of the integrable XXZ Heisenberg chain with arbitrary spin-S are studied analytically on the basis of the string hypothesis for bound states and numerically by solving the associated Bethe ansatz equations. The finite-size corrections to the spectrum and to the low-temperature behaviour of the free energy are found to be similar to the universal predictions for conformally invariant theories, although the model is, in general, not Lorentz invariant, since it can have an arbitrary number of branches for low-energy excitations with different Fermi velocities depending on the value of S and the anisotropy parameter gamma .
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Mathematical Physics
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In: Journal of Physics A: General Physics, Vol. 23, No. 11, 07.06.1990, p. 2115-2132.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite-size effects in the integrable XXZ Heisenberg model with arbitrary spin
AU - Frahm, Holger
AU - Yu, Nai-Chang
PY - 1990/6/7
Y1 - 1990/6/7
N2 - The finite-size effects in the spectrum of the integrable XXZ Heisenberg chain with arbitrary spin-S are studied analytically on the basis of the string hypothesis for bound states and numerically by solving the associated Bethe ansatz equations. The finite-size corrections to the spectrum and to the low-temperature behaviour of the free energy are found to be similar to the universal predictions for conformally invariant theories, although the model is, in general, not Lorentz invariant, since it can have an arbitrary number of branches for low-energy excitations with different Fermi velocities depending on the value of S and the anisotropy parameter gamma .
AB - The finite-size effects in the spectrum of the integrable XXZ Heisenberg chain with arbitrary spin-S are studied analytically on the basis of the string hypothesis for bound states and numerically by solving the associated Bethe ansatz equations. The finite-size corrections to the spectrum and to the low-temperature behaviour of the free energy are found to be similar to the universal predictions for conformally invariant theories, although the model is, in general, not Lorentz invariant, since it can have an arbitrary number of branches for low-energy excitations with different Fermi velocities depending on the value of S and the anisotropy parameter gamma .
U2 - 10.1088/0305-4470/23/11/032
DO - 10.1088/0305-4470/23/11/032
M3 - Article
AN - SCOPUS:0042413002
VL - 23
SP - 2115
EP - 2132
JO - Journal of Physics A: General Physics
JF - Journal of Physics A: General Physics
SN - 0305-4470
IS - 11
ER -