Heisenberg model: Difference between revisions

Revision as of 16:23, 22 January 2008

The Heisenberg model is the n=3 case of the n-vector model. The Hamiltonian is given by

H=-J{\sum }_{\langle i,j\rangle }\mathbf {S} _{i}\cdot \mathbf {S} _{j}

where the sum runs over all pairs of nearest neighbour spins, $\mathbf {S}$ , and where $J$ is the coupling constant.

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 {{Stub-general}}
+The '''Heisenberg model''' is the n=3 case of the ''n''-vector model. The [[Hamiltonian]] is given by
+:<math>H = -J{\sum}_{\langle i,j\rangle}\mathbf{S}_i \cdot \mathbf{S}_{j}</math>
+where the sum runs over all pairs of nearest neighbour spins, <math>\mathbf{S}</math>, and where <math>J</math> is the coupling constant.
 ==See also==
+*[[Ising Models]] (n=1)
+*[[XY model]] (n=2)
 *[[Mermin-Wagner theorem]]
 ==References==