Field induced ordering in highly frustrated antiferromagnets

Details Field induced ordering in highly frustrated antiferromagnets Field induced ordering in highly frustrated antiferromagnets

2000-03-21

arxiv.org/abs/cond-mat/0003343v2

Phys. Rev. Lett. 85 (2000) 3269-3273

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, new analytical proof the order by disorder by thermal fluctuations is added

Scientific paper

10.1103/PhysRevLett.85.3269

We predict that an external field can induce a spin order in highly frustrated classical Heisenberg magnets. We find analytically stabilization of collinear states by thermal fluctuations at a one-third of the saturation field for kagome and garnet lattices and at a half of the saturation field for pyrochlore and frustrated square lattices. This effect is studied numerically for the frustrated square-lattice antiferromagnet by Monte Carlo simulations for classical spins and by exact diagonalization for $S=1/2$. The field induced collinear states have a spin gap and produce magnetization plateaus.

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