Star–triangle approach to boundary behavior in the two-dimensional Ising model

Theodore W. Burkhardt and Ihnsouk Guim

Physica A: Statistical Mechanics and its Applications, 1998, vol. 251, issue 1, 12-26

Abstract: Hilhorst and van Leeuwen showed how to calculate boundary properties of the Ising model on the triangular lattice by iterating a mapping based on the star–triangle transformation. We apply this approach to the Ising model with homogeneous initial couplings in both the semi-infinite and strip geometries. Several exact results for the boundary correlation length and the magnetization are reproduced. The correlation-dimensionality transition for enhanced edge couplings (dual of Abraham’s interface-unbinding transition) is also considered.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:251:y:1998:i:1:p:12-26

DOI: 10.1016/S0378-4371(97)00591-8

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