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 language | English |
|---|---|
| Pages (from-to) | 4911-4917 |
| Number of pages | 7 |
| Journal | International Journal of Modern Physics B |
| Volume | 16 |
| Issue number | 32 |
| DOIs | |
| Publication status | Published - 2002 Dec 20 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Condensed Matter Physics
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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 journal › Article
TY - JOUR
T1 - Low-temperature series expansions for square-lattice Ising model with first and second neighbour interactions
AU - Kao, Yee Mou
AU - Chen, Mall
AU - Lin, Keh Ying
PY - 2002/12/20
Y1 - 2002/12/20
N2 - 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.
AB - 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.
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U2 - 10.1142/S0217979202014954
DO - 10.1142/S0217979202014954
M3 - Article
AN - SCOPUS:0037147719
VL - 16
SP - 4911
EP - 4917
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
SN - 0217-9792
IS - 32
ER -