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

The susceptibility of the Ising model on a kagom, lattice has never been obtained. We investigate the properties of the kagom,-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 alpha = 0.08(4), the spontaneous-magnetization critical exponent beta = 0.10(1), the susceptibility critical exponent gamma = 1.73(5), the isothermalmagnetization critical exponent delta = 16(4), the correlation-length critical exponent nu = 0.96(2), and the correlation-function critical exponent eta = 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.