The Yang-Lee edge singularity in spin models on connected and non-connected rings


Autoria(s): Dalmazi, D.; Sa, F. L.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

19/12/2008

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Renormalization group arguments based on a l phi(3) field theory lead us to expect a certain universal behavior for the density of partition function zeros in spin models with short-range interaction. Such universality has been tested analytically and numerically in different d = 1 and higher dimensional spin models. In d = 1, one finds usually the critical exponent sigma = -1/2. Recently, we have shown in the d = 1 Blume-Emery-Griffiths ( BEG) model on a periodic static lattice (one ring) that a new critical behavior with s = -2/3 can arise if we have a triple degeneracy of the transfer matrix eigenvalues. Here we define the d = 1 BEG model on a dynamic lattice consisting of connected and non-connected rings (non-periodic lattice) and check numerically that also in this case we have mostly sigma = -1/2 while the new value sigma = - 2/3 can arise under the same conditions of the static lattice (triple degeneracy) which is a strong check of universality of the new value of sigma. We also show that although such conditions are necessary, they are not sufficient to guarantee the new critical behavior.

Formato

15

Identificador

http://dx.doi.org/10.1088/1751-8113/41/50/505002

Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 41, n. 50, p. 15, 2008.

1751-8113

http://hdl.handle.net/11449/9189

10.1088/1751-8113/41/50/505002

WOS:000260859500004

Idioma(s)

eng

Publicador

Iop Publishing Ltd

Relação

Journal of Physics A: Mathematical and Theoretical

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article