Critical two-dimensional Ising model with free, fixed ferromagnetic, fixed antiferromagnetic, and double antiferromagnetic boundaries

Xintian Wu, Nickolay Izmailyan

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    Abstract

    The critical two-dimensional Ising model is studied with four types boundary conditions: free, fixed ferromagnetic, fixed antiferromagnetic, and fixed double antiferromagnetic. Using bond propagation algorithms with surface fields, we obtain the free energy, internal energy, and specific heat numerically on square lattices with a square shape and various combinations of the four types of boundary conditions. The calculations are carried out on the square lattices with size N×N and 30
    Original languageEnglish
    Article number012102
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume91
    DOIs
    Publication statusPublished - 5 Jan 2015

    Keywords

    • Antiferromagnetism
    • Boundary conditions
    • Crystal lattices
    • Ferromagnetic materials
    • Ferromagnetism
    • Ising model
    • Specific heat
    • Antiferromagnetic boundaries
    • Antiferromagnetics
    • Conformal field theories
    • Finite size scaling
    • Internal energies
    • Propagation algorithm
    • Square lattices
    • Two-dimensional ising model

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