Title: Low-temperature series expansions for square-lattice Ising model with first and second neighbour interactions
Authors: Kao, YM
Chen, M
Lin, KY
物理研究所
Institute of Physics
Keywords: Ising model;low temperature series expansions
Issue Date: 20-Dec-2002
Abstract: We have calculated the low-temperature series expansions of the spontaneous magnetization and the zero-field susceptibility of the square-lattice ferromagnetic Ising model with first-neighbour interaction J(1) and second-neighbour interaction J(2) to the 30th and 26th order respectively by computer. Our results extend the previous calculations by Lee and Lin to six more orders. We use the Pade approximants to estimate the critical exponents and the critical temperature for different ratios of R = J(2)/J(1). The estimated critical temperature as a function of R agrees with the estimation by Oitmaa from high-temperature series expansions.
URI: http://dx.doi.org/10.1142/S0217979202014954
http://hdl.handle.net/11536/28307
ISSN: 0217-9792
DOI: 10.1142/S0217979202014954
Journal: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume: 16
Issue: 32
Begin Page: 4911
End Page: 4917
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