Concepedia

The Spontaneous Magnetization of a Two-Dimensional Ising Model

Physical Review · 1952 · 1.2K citations · 7 references

Concepts

MagnetismEngineeringLow-dimensional MagnetismPhysicsSpontaneous MagnetizationSpin SystemsNatural SciencesApplied PhysicsCondensed Matter PhysicsQuantum MaterialsLattice Field TheoryOne-dimensional MagnetismTwo-dimensional Ising ModelCondensed Matter TheoryCritical PhenomenonLong-range OrderStatistical Field Theory

Abstract

The spontaneous magnetization of a two-dimensional Ising model is calculated exactly. The result also gives the long-range order in the lattice.Received 18 September 1951DOI:https://doi.org/10.1103/PhysRev.85.808©1952 American Physical Society

References

7

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Lars Onsager · Physical Review · 1944 · 6.3K citations

Free Energy, Quantum Lattice System, Engineering +16

Statistics of the Two-Dimensional Ferromagnet. Part I

H. A. Kramers, Gregory H. Wannier · Physical Review · 1941 · 1.8K citations

Rigorous Boltzmann Statistics, Partition Function, Engineering +17

Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis

Bruria Kaufman · Physical Review · 1949 · 752 citations

Spectral Theory, Crystal Structure, Partition Function +15

Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice

Bruria Kaufman, Lars Onsager · Physical Review · 1949 · 442 citations

Binary Lattice, Engineering, Elliptic Substitution.correlations +16

The propagation of order in co-operative phenomena

F. Zernike · Physica · 1940 · 325 citations

Order Theory, Emergent Phenomenon, Co-operative Phenomena +3