LOW-TEMPERATURE SERIES EXPANSIONS FOR SQUARE-LATTICE ISING MODEL WITH FIRST AND SECOND NEIGHBOUR INTERACTIONS
2002 ◽
Vol 16
(32)
◽
pp. 4911-4917
Keyword(s):
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.
Keyword(s):
1996 ◽
Vol 29
(14)
◽
pp. 3805-3815
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2002 ◽
Vol 16
(32)
◽
pp. 4919-4922
1991 ◽
Vol 24
(12)
◽
pp. 2863-2867
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1975 ◽
Vol 8
(12)
◽
pp. 2033-2033
Keyword(s):
1996 ◽
Vol 29
(14)
◽
pp. 3817-3836
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Keyword(s):
1987 ◽
Vol 20
(5)
◽
pp. 1269-1276
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1975 ◽
Vol 8
(9)
◽
pp. 1469-1479
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Keyword(s):
1994 ◽
Vol 27
(21)
◽
pp. 6987-7005
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1989 ◽
Vol 03
(10)
◽
pp. 1523-1537
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