RT Journal Article
T1 Level density of spin chains of Haldane-Shastry type
A1 Enciso, Alberto
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
AB We provide a rigorous proof of the fact that the level density of all known su (m) spin chains of Haldane-Shastry type associated with the A(N-1) root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large-N limit of the characteristic function of the level density, using the description of the spectrum in terms of motifs and the asymptotic behavior of the transfer matrix.
PB American Physical Society
SN 1539-3755
YR 2010
FD 2010-11-15
LK https://hdl.handle.net/20.500.14352/44673
UL https://hdl.handle.net/20.500.14352/44673
LA eng
NO ©2010 The American Physical Society.This work was supported in part by the MICINN and the UCM–Banco Santander under Grants No. FIS2008-00209 and No. GR58/08-910556. The authors would also like to thank Gabriel Álvarez for some useful discussions, and the anonymous referees of a previous version of this paper for their helpful suggestions.
NO MICINN
NO UCM–Banco Santander
DS Docta Complutense
RD 7 abr 2025