Semiclassical ordering in the large-N pyrochlore antiferromagnet

Details Semiclassical ordering in the large-N pyrochlore antiferromagnet Semiclassical ordering in the large-N pyrochlore antiferromagnet

2005-06-22

arxiv.org/abs/cond-mat/0506574v2

Phys. Rev. Lett. 95, 167203 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 eps figures; published version

Scientific paper

10.1103/PhysRevLett.95.167203

We study the semiclassical limit of the $Sp(N)$ generalization of the pyrochlore lattice Heisenberg antiferromagnet by expanding about the $N \to \infty$ saddlepoint in powers of a generalized inverse spin. To leading order, we write down an effective Hamiltonian as a series in loops on the lattice. Using this as a formula for calculating the energy of any classical ground state, we perform Monte-Carlo simulations and find a unique collinear ground state. This state is not a ground state of linear spin-wave theory, and can therefore not be a physical (N=1) semiclassical ground state.

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