scholarly journals Low-temperature series expansions for the square lattice Ising model with spin

1996 ◽  
Vol 29 (14) ◽  
pp. 3805-3815 ◽  
Author(s):  
I Jensen ◽  
A J Guttmann ◽  
I G Enting
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Series ◽  
Square Lattice ◽  
Series Expansions

LOW-TEMPERATURE SERIES EXPANSIONS FOR SQUARE-LATTICE ISING MODEL WITH FIRST AND SECOND NEIGHBOUR INTERACTIONS

2002 ◽  
Vol 16 (32) ◽  
pp. 4911-4917
Author(s):  
YEE MOU KAO ◽  
MALL CHEN ◽  
KEH YING LIN
Keyword(s):  
Critical Temperature ◽  
Ising Model ◽  
Low Temperature ◽  
Spontaneous Magnetization ◽  
Temperature Series ◽  
Square Lattice ◽  
Series Expansions ◽  
Zero Field ◽  
Ferromagnetic Ising Model ◽  
Neighbour Interaction

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.

Low-temperature series expansions for the spin-1 Ising model

1994 ◽  
Vol 27 (21) ◽  
pp. 6987-7005 ◽  
Author(s):  
I G Enting ◽  
A J Guttmann ◽  
I Jensen
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Series ◽  
Series Expansions
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