Low-temperature series for the correlation length in the d = 3 Ising model Original Research Article

We extend low-temperature series for the second moment of the correlation function in the d = 3 simple-cubic Ising model from u15 to u26 using the finite-lattice method, and combining with the series for the susceptibility we obtain the low-temperature series for the second-moment correlation length to u23. An analysis of the obtained series by inhomogeneous differential approximants gives the critical exponents 2ν′ + γ′ = 2.509(38) and 2ν′ = 1.247(19).