Flux expulsion and greedy bosons: frustrated magnets at large N

Details Flux expulsion and greedy bosons: frustrated magnets at large N Flux expulsion and greedy bosons: frustrated magnets at large N

2004-08-24

arxiv.org/abs/cond-mat/0408498v1

Europhys. Lett. 73, 278 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 eps figures

Scientific paper

10.1209/epl/i2005-10389-2

We investigate the Sp(N) mean-field theory for frustrated quantum magnets. First, we establish some general properties of its solutions; in particular, for small spin we propose simple rules for determining the saddle points of optimal energy. We then apply these insights to the pyrochlore lattice. For spins on a single tetrahedron, we demonstrate a continuous ground state degeneracy for any value of the spin length. For the full pyrochlore lattice, this degeneracy translates to a large number of near-degenerate potential saddle points. Remarkably, it is impossible to construct a saddle point with the full symmetry of the Hamiltonian--at large N, the pyrochlore magnet CANNOT be a spin liquid. Nonetheless, for realistic finite values of N, tunnelling between the nearly degenerate saddle points could restore the full symmetry of the Hamiltonian.

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