Author： Zandvliet H. J. W. Hoede C.
Publisher： Taylor & Francis Ltd
ISSN： 0141-1594
Source： Phase Transitions: A Multinational Journal, Vol.82, Iss.2, 2009-02, pp. : 191-196
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Abstract
We show that the square two-dimensional (2D) Ising lattice with nearest- (J) and weak next-nearest-neighbour interactions (Jd) can be mapped on a square 2D Ising lattice that has only nearest neighbour interactions (J*). For Jd/J << 1 the transformation equation has the simple form [image omitted]. This result can be used to derive expressions for several thermodynamic functions of the square 2D Ising lattice with weak next-nearest-neighbour interactions. As an example we consider the spontaneous magnetization and compare it with low-temperature series expansion results.
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