Phase transitions in the interacting-domain-wall model

Jae Dong Noh, Doochul Kim

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 of 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 q0. 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.

Original languageEnglish
Pages (from-to)226-236
Number of pages11
JournalPhysical Review E
Issue number1
StatePublished - 1995


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