YANG-LEE EDGE SINGULARITY OF A ONE-DIMENSIONAL ISING FERROMAGNET WITHARBITRARY SPIN

Authors
WANG XZ KIM JS
Citation
Xz. Wang et Js. Kim, YANG-LEE EDGE SINGULARITY OF A ONE-DIMENSIONAL ISING FERROMAGNET WITHARBITRARY SPIN, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4174-4180
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
4
Year of publication
1998
Pages
4174 - 4180
Database
ISI
SICI code
1063-651X(1998)58:4<4174:YESOAO>2.0.ZU;2-F
Abstract
It is shown that for a one-dimensional lattice system in a purely imag inary magnetic field, if the interaction is finite range, the nature o f the Yang-Lee edge singularity is universal, independent of the spin and interaction strengths. The edge singularity corresponds to the two fold degeneracy of the largest eigenvalues of the transfer matrix. For the Blume-Emery-Griffiths ferromagnet, the tricritical point and the edge pseudosingularity may exist. The tricritical point corresponds to the triple degeneracy of the eigenvalues. The edge pseudosingularity corresponds to the twofold degeneracy of the nonlargest eigenvalues. [ S1063-651X(98)11909-8].