New Solution of the Ising Problem for a Rectangular Lattice
- 1 October 1960
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 33 (4) , 1059-1062
- https://doi.org/10.1063/1.1731333
Abstract
A new solution of the Ising problem for a rectangular lattice is derived from first principles. The solution, which is obtained algebraically, can be presented in a determinantal form different from though related to that found by Kac and Ward. By connecting the algebraic approach with the combinatorial solution, the latter is freed from dependence on topological conjectures. The new solution is considered to be fundamentally simpler than the others.Keywords
This publication has 8 references indexed in Scilit:
- Exact Solution of the Association Problem by a Matrix-Spinor Method with Applications to Statistical MechanicsReviews of Modern Physics, 1960
- The Combinatrial Method and the Two-Dimensional Ising ModelProgress of Theoretical Physics, 1955
- On quantum field theory — I: explicit solution of Dyson’s equation in electrodynamics without use of feynman graphsIl Nuovo Cimento (1869-1876), 1953
- A Combinatorial Solution of the Two-Dimensional Ising ModelPhysical Review B, 1952
- Crystal Statistics. II. Partition Function Evaluated by Spinor AnalysisPhysical Review B, 1949
- Crystal Statistics. III. Short-Range Order in a Binary Ising LatticePhysical Review B, 1949
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder TransitionPhysical Review B, 1944
- Relativistic Field Theories of Elementary ParticlesReviews of Modern Physics, 1941