Antiferromagnetic Susceptibility and the Short-Range Correlation Function in the Ising Square Lattice
- 1 September 1986
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 76 (3) , 613-620
- https://doi.org/10.1143/ptp.76.613
Abstract
The zero-field susceptibility x(T) of the antiferromagnet in the Ising square lattice with the symmetric interaction was evaluated by carrying out the lattice sum of the short-range correlation function X(m, n) (0 ≤m, n ≤4), which is exactly and explicitly calculated on the basis of a “generalized Wronskian” form with dimension m. It is naturally derived from the singularity of X(m, n) that the highest singularity of x(T) (per site) near the critical temperature Tc is logarithmic as kBTx(T)=A+B(1-T/Tc)ln|1-T/Tc|, with A=0.1596264029 and B=0.2009359779 in the best approximation of the present calculation. Both A and B are completely equal below and above the critical temperature.Keywords
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