The partition function zeros of the anisotropic Ising model with multisite interactions on a zigzag ladder |
| |
Authors: | VV Hovhannisyan RG Ghulghazaryan |
| |
Institution: | a Department of Theoretical Physics, Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan, Armenia b Dipartimento di Fisica e Matematica, Universitá degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, Italy |
| |
Abstract: | It is shown that the spin- anisotropic Ising model with multisite interactions on a zigzag ladder may be mapped into the one dimensional spin- Axial-Next-Nearest-Neighbor Ising (ANNNI) model with multisite interactions. The partition function zeros of the ANNNI model with multisite interactions are investigated. A comprehensive analysis of the partition function zeros of the ANNNI model with and without three-site interactions on a zigzag ladder is done using the transfer matrix method. Analytical equations for the distribution of the partition function zeros in the complex magnetic field (Yang-Lee zeros) and temperature (Fisher zeros) planes are derived. The Yang-Lee and Fisher zeros distributions are studied numerically for a variety of values of the model parameters. The densities of the Yang-Lee and Fisher zeros are studied and the corresponding edge singularity exponents are calculated. It is shown that the introduction of three-site interaction terms in the ANNNI model leads to a simpler distribution of the partition function zeros. For example, the Yang-Lee zeros tend to a circular distribution when increasing by modulus the three-site interactions term coefficient. It is found that the Yang-Lee and Fisher edge singularity exponents are universal and equal to each other, . |
| |
Keywords: | Yang-Lee zeros Transfer matrix method Fisher zeros ANNNI model |
本文献已被 ScienceDirect 等数据库收录! |
|