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gptkbp:instanceOf
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statistical mechanics model
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gptkbp:alsoKnownAs
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planar rotator model
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gptkbp:application
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magnetism
superconductivity
superfluidity
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gptkbp:describes
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spins on a lattice
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gptkbp:dimensions
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3D
2D
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gptkbp:eventType
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nearest neighbor
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gptkbp:exhibits
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Berezinskii–Kosterlitz–Thouless transition
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gptkbp:fieldTheory
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sine-Gordon model
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gptkbp:Hamiltonian
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H = -J Σ cos(θ_i - θ_j)
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https://www.w3.org/2000/01/rdf-schema#label
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XY model
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gptkbp:latticeType
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gptkb:triangular_lattice
square lattice
honeycomb lattice
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gptkbp:notableFeature
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topological defects (vortices)
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gptkbp:parameter
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J (coupling constant)
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gptkbp:partitionFunction
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Z = ∫ exp(-βH) Dθ
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gptkbp:phaseTransition
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BKT transition
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gptkbp:relatedTo
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gptkb:Heisenberg_model
gptkb:Ising_model
thin films
liquid crystals
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gptkbp:spinComponent
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x
y
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gptkbp:spinType
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two-dimensional unit vector
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gptkbp:studiedBy
|
1970s
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gptkbp:studiedIn
|
gptkb:statistical_mechanics
condensed matter physics
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gptkbp:symmetry
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U(1) continuous symmetry
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gptkbp:bfsParent
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gptkb:Heisenberg_model
gptkb:Ising_model
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gptkbp:bfsLayer
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5
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