RT Journal Article
T1 Correspondence between long-range and short-range spin glasses
A1 Baños, R.A.
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Young, A.P.
AB We compare the critical behavior of the short-range Ising spin glass with a spin glass with long-range interactions which fall off as a power σ of the distance. We show that there is a value of σ of the long-range model for which the critical behavior is very similar to that of the short range model in four dimensions. We also study a value of σ for which we find the critical behavior to be compatible with that of the three-dimensional model, although we have much less precision than in the four-dimensional case.
PB American Physical Society
SN 1098-0121
YR 2012
FD 2012-10-17
LK https://hdl.handle.net/20.500.14352/45036
UL https://hdl.handle.net/20.500.14352/45036
LA eng
NO © 2012 American Physical Society. We thank G. Parisi and M. Moore for discussions. A.P.Y. acknowledges support from the NSF through Grant No. DMR- 0906366 and a generous allocation of computer time from the Hierarchical Systems Research Foundation. The shortrange simulations, and part of the long-range simulations, were carried out on ARAGRID and BIFI computers. R.A.B., L.A.F., and V.M.M. acknowledge partial financial support from MICINN, Spain, Contract No. FIS2009 12648-C03. R.A.B. was also supported by the FPI Program (Diputación de Aragón, Spain). V.M.M. acknowledges the hospitality of the Physics Department of UCSC (visit funded by the Del Amo Foundation), where part of this work was performed.
NO Ministerio de Ciencia e Innovación (MICINN)
NO NSF
NO FPI Program (Diputación de Aragón, Spain)
DS Docta Complutense
RD 7 abr 2025