Work performed within the research program of the Sonderforschungsbereich 341, Köln-Aachen-Jülich.
Free energy and correlation lengths of quantum chains related to restricted solid-on-solid lattice models†
Article first published online: 14 MAR 2006
Copyright © 1992 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 504, Issue 7, pages 540–553, 1992
How to Cite
Klümper, A. (1992), Free energy and correlation lengths of quantum chains related to restricted solid-on-solid lattice models. Ann. Phys., 504: 540–553. doi: 10.1002/andp.19925040707
- Issue published online: 14 MAR 2006
- Article first published online: 14 MAR 2006
- Manuscript Accepted: 4 SEP 1992
- Manuscript Received: 17 AUG 1992
- Integrable quantum chains;
- Thermodynamic Bethe Ansatz;
- Quantum transfer matrix
An approach is presented for calculating the free energy as well as the correlation lengths of integrable quantum chains at arbitrary finite temperatures. The method is applied to critical Hamiltonians related to restricted solid-on-olid models comprising the hierarchy by Andrews, Baxter and Forrester, and generalizations hereof by the fusion procedure. The derived non-linear integral equations can be studied analytically in the low-temperature and high-temperature limits. The central charges and all primary conformal weights are obtained for the generalized minimal unitary series of conformal field theory and the ZN parafermion theories. Thus an extension of the thermodynamic Bethe Ansatz is realized which recently has been speculated on in the literature.