Higher orders of the high-temperature expansion for the Ising model in three dimensions

Abstract

The new algorithm of the finite lattice method is applied to generate the high-temperature expansion series of the simple cubic Ising model to ${\beta }^{50}$ for the free energy, to ${\beta }^{32}$ for the magnetic susceptibility and to ${\beta }^{29}$ for the second moment correlation length. The series are analyzed to give the precise value of the critical point and the critical exponents of the model.

arXiv commentLattice2003(Higgs), 3 pages, 2 figures

References in corpus (5)

• Critical Exponents of the N-vector model
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• 3D Ising Model:The Scaling Equation of State
• The Cluster Processor: New Results
• New Algorithm of the Finite Lattice Method for the High-temperature Expansion of the Ising Model in Three Dimensions

Cited by in corpus (6)

• Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
• Fractal dimension of critical curves in the $O(n)$-symmetric ${\varphi }^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models
• The free energy in a magnetic field and the universal scaling equation of state for the three-dimensional Ising model
• High-temperature series for the bond-diluted Ising model in 3, 4 and 5 dimensions