XY model
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The XY model, also known as the O(2) model because of its symmetry group, is a Heisenberg ferromagnetic with an easy-plane anisotropy. The Hamiltonian is given by
\[H = -J{\sum}_{\langle i,j\rangle}\mathbf{S}_i \cdot \mathbf{S}_{j}\]
in other words
\[H=-J{\sum}_{\langle i,j\rangle}\cos(\theta_i-\theta_j)\]
where the sum runs over all pairs of nearest neighbour spins, \(\mathbf{S}\), and where \(J\) is the coupling constant.
Contents |
[edit] Random field XY model (RFXY)
[edit] XY universality class
- (see: XY universality class)
