Field induced ordering in highly frustrated antiferromagnets

Abstract

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.

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

References in corpus (10)

• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• Coupled Ladders in a Magnetic Field
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• A Comparative Study of the Magnetization Process of Two-Dimensional Antiferromagnets
• Three-Dimensional Ordering in Weakly Coupled Antiferromagnetic Ladders and Chains

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