RT Journal Article
T1 Global properties of the spectrum of the Haldane-Shastry spin chain
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
AB We derive an exact expression for the partition function of the su(m) Haldane-Shastry spin chain, which we use to study the density of levels and the distribution of the spacing between consecutive levels. Our computations show that when the number of sites N is large enough, the level density is Gaussian to a very high degree of approximation. More surprisingly, we also find that the nearest-neighbor spacing distribution is not Poissonian, so that this model departs from the typical behavior for an integrable system. We show that the cumulative spacing distribution of the model can be well approximated by a simple functional law involving only three parameters.
PB American Physical Society
SN 1098-0121
YR 2005
FD 2005-11
LK https://hdl.handle.net/20.500.14352/51498
UL https://hdl.handle.net/20.500.14352/51498
LA eng
NO ©2005 The American Physical Society.This work was partially supported by the Spanish DGI under Grant No. BFM2002-02646. The authors would like to thank J. Retamosa for several helpful discussions.
NO DGI, Spain
DS Docta Complutense
RD 9 abr 2025