title: Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model.
abstract: We show here for the one-dimensional spin-1/2 axial-next-to-nearest-neighbor Ising model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent σ=-2/3 at the Yang-Lee edge singularity. The necessary condition for this unusual behavior is the triple degeneracy of the transfer-matrix eigenvalues. If this condition is absent we have the usual value σ=-1/2 . Analogous results have been found in the literature in the spin-1 Blume-Emery-Griffths model and in the three-state Potts model in a magnetic field with two complex components. Our results support the universality of σ=-2/3 which might be a one-dimensional footprint of a tricritical version of the Yang-Lee edge singularity possibly present also in higher-dimensional spin models.
authors.affiliation: Univ. Estadual Paulista, Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto P. da Cunha 333, CEP 12516-410 Guaratinguetá, SP, Brazil. dalmazi@feg.unesp.br
authors.forename: D
authors.initials: D
authors.lastname: Dalmazi
authors.forename: F L
authors.initials: FL
authors.lastname: Sá