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Low-Temperature Series for the Correlation Length in $d=3$ Ising Model

H. Arisue·K. Tabata
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Abstract

We extend low-temperature series for the second moment of the correlation function in $d=3$ simple-cubic Ising model from $u^{15}$ to $u^{26}$ using finite-lattice method, and combining with the series for the susceptibility we obtain the low-temperature series for the second-moment correlation length to $u^{23}$. An analysis of the obtained series by inhomogeneous differential approximants gives critical exponents $ 2ν^{\prime} + γ^{\prime} \approx 2.55 $ and $ 2ν^{\prime} \approx 1.27 $.

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H. Arisue, K. Tabata. 1994-07-28. Low-Temperature Series for the Correlation Length in $d=3$ Ising Model. https://doi.org/10.1016/0550-3213(94)00548-s

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