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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 49 (1987), S. 269-279 
    ISSN: 1572-9613
    Keywords: Ising model ; spontaneous magnetization ; 4–8 lattice ; series expansions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The spontaneous magnetization of the Ising model on a 4–8 lattice with six different coupling constants and two different magnetic moments is studied. A formula for the spontaneous magnetization is proposed. The result agrees with the exact low-temperature series expansions up to the 12th order.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 51 (1988), S. 491-499 
    ISSN: 1572-9613
    Keywords: Ising model ; spontaneous magnetization ; layered square lattice ; series expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have studied the Ising model on a layered square lattice with four different coupling constants and two different magnetic moments. The partition function at zero magnetic field is derived exactly. We propose a formula for the spontaneous magnetization which agrees with the exact low-temperature series expansion up to the 16th order and reduces to the exact result of Au-Yang and McCoy in a special case.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 52 (1988), S. 669-678 
    ISSN: 1572-9613
    Keywords: Ising model ; spontaneous magnetization ; H=i1/2πkT ; generalized checkerboard lattice
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider the Ising model on the generalized checkerboard lattice. Using a recent result by Baxter and Choy, we derive exact expressions for the magnetization of nodal spins at two values of the magnetic field,H=0 andH=i1/2πkT. Our results are given in terms of Boltzmann weights of a unit cell of the checkerboard lattice without specifying its cell structures.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 56 (1989), S. 631-643 
    ISSN: 1572-9613
    Keywords: Ising model ; spontaneous magnetization ; generalized checkerboard lattice ; three-spin correlation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Ising model on the generalized checkerboard lattice is studied and the three-spin correlation function is obtained for the three nodal spins surrounding a unit cell of the checkerboard lattice. As an application of this result, the spontaneous magnetization of the internal spin within a unit cell is calculated.
    Type of Medium: Electronic Resource
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