aqora

High-temperature series expansions of susceptibility of the square-lattice Ising model with first- and second-neighbour interactions

Yueh-Ching Hsiao, Keh-Ying Lin

Physica A Statistical Mechanics and its ApplicationsApr 1, 19981 citation

Low-Temperature Series Expansions for the Square-Lattice Ising Model with First and Second Neighbour Interactions

Syh-Fu Lee, Keh-Ying Lin

Chinese Journal of PhysicsOct 1, 19961 citation

High-Temperature Series Expansions of Susceptibility of Ising Model on Checkerboard Lattice with Crossing Interactions

Jeng-Ming Chen, Keh-Ying Lin

Chinese Journal of PhysicsAug 1, 19960 citations

Zero field susceptibility of the Ising square lattice with any interaction parameters — Exact series expansion form

Keiji Yamada

Physics Letters ANov 1, 19858 citations

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

Yee-Mou Kao, MALL CHEN, Keh Ying Lin

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.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.

International Journal of Modern Physics BDec 20, 20020 citations

HIGH-TEMPERATURE SUSCEPTIBILITY SERIES FOR SQUARE-LATTICE ISING MODEL WITH FIRST AND SECOND NEIGHBOUR INTERACTIONS

Keh Ying Lin, MALL CHEN

We have calculated the high-temperature series expansion of the zero-field susceptibility of the square-lattice Ising model with first and second neighbour interactions to the 20th order by computer. Our results extend the previous calculation by Hsiao and Lin to two more orders. We use the Padé approximants to estimate the critical exponent γ and the critical temperature. Our result 1.747 < γ < 1.753 supports the universality conjecture that all two-dimensional Ising models have the same critical exponent γ = 1.75.We have calculated the high-temperature series expansion of the zero-field susceptibility of the square-lattice Ising model with first and second neighbour interactions to the 20th order by computer. Our results extend the previous calculation by Hsiao and Lin to two more orders. We use the Padé approximants to estimate the critical exponent γ and the critical temperature. Our result 1.747 < γ < 1.753 supports the universality conjecture that all two-dimensional Ising models have the same critical exponent γ = 1.75.

International Journal of Modern Physics BDec 20, 20020 citations

High-Temperature Series Expansion of Susceptibility of the Ising Model with First and Second Neighbour Interactions on the Square Lattice

Related papers

High-Temperature Series Expansion of Susceptibility of the Ising Model with First and Second Neighbour Interactions on the Square Lattice

Related papers