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Crossover scaling function for the lattice anisotropy of the quasi-two-dimensional Ising models: the susceptibility

W.L. Basaiawmoit, S Singh

The crossover scaling behaviour for the lattice anisotropy of the susceptibility of the quasi-two-dimensional Ising models has been studied using high-temperature series expansions. The predictions of the extended scaling hypothesis are verified and the plots of the effective exponent are presented in the scaling regime. These results should provide a basis for comparison with experiments on quasi-two-dimensional Ising systems.

Journal of Physics C Solid State PhysicsJan 20, 19831 citation

Magnetic Susceptibility in the Ising Model

Ala Ouguergouz

Sep 29, 20190 citations

Equations of state for bicritical points. II. Ising-like ordered phases

Eytan Domany, David R. Nelson, Michael Ellis Fisher

Calculations of bicritical crossover scaling functions are extended into the Ising-like bicritical ordered phases. Closed-form expressions are derived to first order in $\ensuremath{\epsilon}=4\ensuremath{-}d$ for the specific heat, nonordering susceptibility, and longitudinal, susceptibilities in this regime. Scaling functions in ordered and disordered regions are displayed graphically and compared with series-expansion results.

Physical review. B, Solid stateApr 1, 197721 citations

Susceptibility of a Dimerized Ising Chain

Akihide Oguchi

Progress of Theoretical PhysicsMar 1, 19776 citations

Critical correlation-function approximations for the Ising model

B. Frank, O Mitran

Journal of Physics C Solid State PhysicsDec 14, 19780 citations

Susceptibility of the Ising Model on a Kagomé Lattice by Using Wang-Landau Sampling

Seung‐Yeon Kim, Wooseop Kwak

The susceptibility of the Ising model on a kagomé lattice has never been obtained. We investigate the properties of the kagomé-lattice Ising model by using the Wang-Landau sampling method. We estimate both the magnetic scaling exponent yh = 1.90(1) and the thermal scaling exponent yt = 1.04(2) only from the susceptibility. From the estimated values of yh and yt , we obtain all the critical exponents, the specific-heat critical exponent α = 0.08(4), the spontaneous-magnetization critical exponent β = 0.10(1), the susceptibility critical exponent γ = 1.73(5), the isothermalmagnetization critical exponent δ = 16(4), the correlation-length critical exponent ν = 0.96(2), and the correlation-function critical exponent η = 0.20(4), without using any other thermodynamic function, such as the specific heat, magnetization, correlation length, and correlation function. One should note that the evaluation of all the critical exponents only from information on the susceptibility is an innovative approach.The susceptibility of the Ising model on a kagomé lattice has never been obtained. We investigate the properties of the kagomé-lattice Ising model by using the Wang-Landau sampling method. We estimate both the magnetic scaling exponent yh = 1.90(1) and the thermal scaling exponent yt = 1.04(2) only from the susceptibility. From the estimated values of yh and yt , we obtain all the critical exponents, the specific-heat critical exponent α = 0.08(4), the spontaneous-magnetization critical exponent β = 0.10(1), the susceptibility critical exponent γ = 1.73(5), the isothermalmagnetization critical exponent δ = 16(4), the correlation-length critical exponent ν = 0.96(2), and the correlation-function critical exponent η = 0.20(4), without using any other thermodynamic function, such as the specific heat, magnetization, correlation length, and correlation function. One should note that the evaluation of all the critical exponents only from information on the susceptibility is an innovative approach.

Journal of the Korean Physical SocietyMar 1, 20185 citations

The Ising Susceptibility Scaling Function

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