Low-temperature series expansions for square-lattice Ising model with first and second neighbour interactions

Yee Mou Kao, Mall Chen, Keh Ying Lin

Research output: Contribution to journalArticle

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 J1 and second-neighbour interaction J2 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 Padé approximants to estimate the critical exponents and the critical temperature for different ratios of R = J2/J1. The estimated critical temperature as a function of R agrees with the estimation by Oitmaa from high-temperature series expansions.

Original languageEnglish
Pages (from-to)4911-4917
Number of pages7
JournalInternational Journal of Modern Physics B
Volume16
Issue number32
DOIs
Publication statusPublished - 2002 Dec 20

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series expansion
Ising model
critical temperature
interactions
exponents
magnetic permeability
magnetization
estimates

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this

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title = "Low-temperature series expansions for square-lattice Ising model with first and second neighbour interactions",
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 J1 and second-neighbour interaction J2 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 Pad{\'e} approximants to estimate the critical exponents and the critical temperature for different ratios of R = J2/J1. The estimated critical temperature as a function of R agrees with the estimation by Oitmaa from high-temperature series expansions.",
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Low-temperature series expansions for square-lattice Ising model with first and second neighbour interactions. / Kao, Yee Mou; Chen, Mall; Lin, Keh Ying.

In: International Journal of Modern Physics B, Vol. 16, No. 32, 20.12.2002, p. 4911-4917.

Research output: Contribution to journalArticle

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