Critical behavior of the four-dimensional Ising model
- 1 November 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 22 (9) , 4481-4483
- https://doi.org/10.1103/physrevb.22.4481
Abstract
The phase transition of the spin-one-half, four-dimensional hypercubic Ising model has been investigated by means of the Monte Carlo renormalization-group technique. The results agree with mean-field critical exponents.Keywords
This publication has 15 references indexed in Scilit:
- Correction to the leading singularity of the order parameter of the four-dimensional Ising ferromagnetJournal of Physics A: General Physics, 1979
- Confinement and the Critical Dimensionality of Space-TimePhysical Review Letters, 1979
- Susceptibility and fourth-field derivative of the spin-1/2Ising model for T>Tcand d=4Journal of Physics A: General Physics, 1979
- The critical isotherm of the four-dimensional Ising modelJournal of Physics A: General Physics, 1979
- Position-space renormalization for systems with weak long-range interactions and the breakdown of hyperscalingJournal of Statistical Physics, 1977
- Variational approximations for renormalization group transformationsJournal of Statistical Physics, 1976
- Logarithmic Corrections to the Molecular-Field Behavior of Critical and Tricritical SystemsPhysical Review B, 1973
- Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical BehaviorPhysical Review B, 1971
- Critical Behavior of the Four-Dimensional Ising Ferromagnet and the Breakdown of ScalingPhysical Review B, 1970
- Ising Model and Self-Avoiding Walks on Hypercubical Lattices and "High-Density" ExpansionsPhysical Review B, 1964