Ising-Model Critical Indices below the Critical Temperature

作者: George A. Baker , David S. Gaunt

DOI: 10.1103/PHYSREV.155.545

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摘要: We review the estimates for critical indices of Ising model below ${T}_{C}$ and conclude (for 3 dimensions): ${\ensuremath{\alpha}}^{\ensuremath{'}}=0.066_{\ensuremath{-}0.04}^{}{}_{}{}^{+0.16}$, $\ensuremath{\beta}=0.312_{\ensuremath{-}0.005}^{}{}_{}{}^{+0.002}$, ${\ensuremath{\gamma}}^{\ensuremath{'}}=1.310_{\ensuremath{-}0.05}^{}{}_{}{}^{+0.04}$ specific heat, magnetization, magnetic susceptibility, respectively. For 2 dimensions, we estimate ${\ensuremath{\gamma}}^{\ensuremath{'}}=1.75_{\ensuremath{-}0.00}^{}{}_{}{}^{+0.01}$. In order to explain previous ${\ensuremath{\alpha}}^{\ensuremath{'}}=0$, point out that a low power can, in practice, look deceptively like logarithm. Finally, discuss behavior heat at constant magnetization.

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