Scaling functions of interfacial tensions for a class of Ising cylinders

T. M. Liaw; M. C. Huang; S. C. Lin; M. C. Wu

doi:10.1103/PhysRevB.60.12994

Scaling functions of interfacial tensions for a class of Ising cylinders

T. M. Liaw, M. C. Huang, S. C. Lin, M. C. Wu

Department of Physics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We apply Plechko’s Grassmann path-integral method to Ising cylinders of rectangular, triangular, and hexagonal lattices to obtain the analytic solutions of free energies for the periodic and antiperiodic boundary conditions in the joined circumferences of the cylinders. These analytic solutions are used to analyze the scaling functions of the interfacial tensions for isotropic and anisotropic couplings. The finite-size corrections to the scaling functions are also discussed.

Original language	English
Pages (from-to)	12994-13005
Number of pages	12
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	60
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevB.60.12994
State	Published - 1999

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AB - We apply Plechko’s Grassmann path-integral method to Ising cylinders of rectangular, triangular, and hexagonal lattices to obtain the analytic solutions of free energies for the periodic and antiperiodic boundary conditions in the joined circumferences of the cylinders. These analytic solutions are used to analyze the scaling functions of the interfacial tensions for isotropic and anisotropic couplings. The finite-size corrections to the scaling functions are also discussed.

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M3 - 期刊論文

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JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 18

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Scaling functions of interfacial tensions for a class of Ising cylinders

Abstract

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