Phase transitions in interacting domain-wall model

Details Phase transitions in interacting domain-wall model Phase transitions in interacting domain-wall model

1994-10-04

arxiv.org/abs/cond-mat/9410006v1

Physics

Condensed Matter

25 pages with 13 figures abailable upon request from Jae Dong Noh at jdno@phyb.snu.kc.ar, REVTeX 3.0, to appear in Phys. Rev.

Scientific paper

10.1103/PhysRevE.51.226

We investigate the interacting domain-wall model derived from the triangular-lattice antiferromagnetic Ising model with two next-nearest-neighbor interactions. The system has commensurate phases with a domain-wall density $q=2/3$ as well as that of $q=0$ when the interaction is repulsive. The $q=2/3$ commensurate phase is separated from the incommensurate phase through the Kosterlitz--Thouless~(KT) transition. The critical interaction strength and the nature of the KT phase transition are studied by the Monte Carlo simulations and numerical transfer-matrix calculations. For strongly attractive interaction, the system undergoes a first-order phase transition from the $q=0$ commensurate phase to the incommensurate phase with $q\neq 0$. The incommensurate phase is a critical phase which is in the Gaussian model universality class. The effective Gaussian coupling constant is calculated as a function of interaction parameters from the finite-size scaling of the transfer matrix spectra .

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