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  • 1
    Electronic Resource
    Electronic Resource
    Hard-square lattice gas (1980)
    Springer
    Journal of statistical physics 22 (1980), S. 465-489 
    Details
    ISSN: 1572-9613
    Keywords: Lattice statistics ; series expansions ; corner transfer matrices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ 2−ρ 1. From these we estimate the critical activity to be 3.7962±0.0001. This is in excellent agreement with the earlier work of Gaunt and Fisher. It conflicts with the value 4.0 given by Müller-Hartmann and Zittartz's formula for the critical point of the antiferromagnetic Ising model in a field, so we conclude that this formula, while a good approximation, is not exact.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012867
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Series expansions from corner transfer matrices: The square lattice Ising model (1979)
    Springer
    Journal of statistical physics 21 (1979), S. 103-123 
    Details
    ISSN: 1572-9613
    Keywords: Lattice models ; series expansions ; corner transfer matrices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The corner transfer matrix formalism is used to obtain low-temperature series expansions for the square lattice Ising model in a field. This algebraic technique appears to be far more efficient than conventional methods based on combinatorial enumeration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01008694
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