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ZN model

The Z N {\displaystyle Z_{N}} model (also known as the clock model) is a simplified statistical mechanical spin model. It is a generalization of the Ising model. Although it can be defined on an arbitrary graph, it is integrable only on one and two-dimensional lattices, in several special cases.

Products, Self-dual critical solution & Quantum version

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Self-dual critical solution

Square latticeKramers–WannierCriticalStar–triangle relationXY model
7 related topics

Quantum version

Quantum versionTransverse-field Ising modelHamiltonianPauli matrices
4 related topics

Definition

Roots of unityBoltzmann weightsComplex conjugation
3 related topics

Solvable special cases

Potts model
1 related topics

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Self-dual critical solution

Solvable special cases

Quantum version

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ZN model

Nodes27
Edges26
Triples0
Avg. degree1.93
Density0.074074
Components1

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displaystyle model lattice ising special cases critical spins clock defined self-dual solution solvable spin graph values right solutions two case

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