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The ground-state properties of the Heisenberg antiferromagnet on a kagom\'e lattice with further-neighbor interactions are discussed. The classical ground states are described as spiral phases of an equivalent square lattice with a basis, and quantum fluctuations are incorporated by means of a rotationally invariant Schwinger-boson approach. The quasiparticle dispersion relations have the correct zero-mode structure, without the pathologies present in the standard spin-wave approximation. For the nearest-neighbor S=1/2 model the theory predicts an ordered ground state, although with a largely reduced magnetization of only 18% of the classical value. Implications of the results for the low-temperature thermodynamics of the stacked S=3/2 kagom\'e antiferromagnet SrCr_8-x{Ga}₄₊ₓO₁₉ are also discussed.
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Manuel et al. (1994) studied this question.
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