RT Journal Article
T1 Haldane-Shastry spin chains of BCN type
A1 Enciso, Alberto
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB We introduce four types of SU(2M + 1) spin chains which can be regarded as the BCN versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need not be equally spaced. We prove that all four chains are solvable by deriving an exact expression for their partition function using Polychronakos's "freezing trick". From this expression we deduce several properties of the spectrum, and advance a number of conjectures that hold for a wide range of values of the spin M and the number of particles. In particular, we conjecture that the level density is Gaussian, and provide a heuristic derivation of general formulas for the mean and the standard deviation of the energy
PB Elsevier
SN 0550-3213
YR 2005
FD 2005-02-21
LK https://hdl.handle.net/20.500.14352/51503
UL https://hdl.handle.net/20.500.14352/51503
LA eng
NO ©2004 Elsevier B.V All rights reserved.This work was partially supported by the DGI under grant No. BFM2002–02646. A.E. acknowledges the financial support of the Spanish Ministry of Education and Science through an FPU scholarship. The authors would like to thank J. Retamosa for pointing out Ref. [30] to them.
NO DGI, Spain
NO Spanish Ministry of Education and Science
DS Docta Complutense
RD 11 abr 2025