RT Journal Article
T1 Inozemtsev's hyperbolic spin model and its related spin chain
A1 Barba, J. C:
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev. We compute the spectrum of Inozemtsev's model, and use this result and the freezing trick to derive a simple analytic expression for the partition function of the Frahm-Inozemtsev chain. We show that the energy levels of the latter chain can be written in terms of the usual motifs for the Haldane-Shastry chain, although with a different dispersion relation. The formula for the partition function is used to analyze the behavior of the level density and the distribution of spacings between consecutive unfolded levels. We discuss the relevance of our results in connection with two well-known conjectures in quantum chaos.
PB Elsevier
SN 0550-3213
YR 2010
FD 2010-11-11
LK https://hdl.handle.net/20.500.14352/44674
UL https://hdl.handle.net/20.500.14352/44674
LA eng
NO ©2010 Elsevier B.V. All rights reserved.This work was partially supported by the Spanish Ministry of Science and Innovation under grant No. FIS2008-00209, and by the Universidad Complutense and Banco Santander under grant No. GR58/08-910556. J.C.B. acknowledges the financial support of the Spanish Ministry of Science and Innovation through an FPU scholarship. The authors would like to thank B. BasuMallick for useful discussions on A_(N−1)-type motifs.
NO Ministry of Science and Innovation, Spain
NO UCM-Banco Santander
DS Docta Complutense
RD 9 abr 2025