Spontaneous magnetization of the square 2D Ising lattice with nearest- and weak next-nearest-neighbour interactions

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Zandvliet, H.J.W. and Hoede, C. (2009) Spontaneous magnetization of the square 2D Ising lattice with nearest- and weak next-nearest-neighbour interactions. Phase Transitions, 82 (2). pp. 191-196. ISSN 0141-1594

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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 GPHT_A_361184_O_XML_IMAGES\GPHT_A_361184_O_ILM0001.gif. 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.
Item Type:Article
Copyright:© 2010 Informa
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/73021
Official URL:http://dx.doi.org/10.1080/01411590802610163
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Metis ID: 251379