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We present detailed calculations of the magnetic ground state properties ofCs$_2$CuCl$_4$ in an applied magnetic field, and compare our results withrecent experiments. The material is described by a spin Hamiltonian, determinedwith precision in high field measurements, in which the main interaction isantiferromagnetic Heisenberg exchange between neighboring spins on ananisotropic triangular lattice. An additional, weak Dzyaloshinkii-Moriyainteraction introduces easy-plane anisotropy, so that behavior is different fortransverse and longitudinal field directions. We determine the phase diagram asa function of field strength for both field directions at zero temperature,using a classical approximation as a first step. Building on this, we calculatethe effect of quantum fluctuations on the ordering wavevector and components ofthe ordered moments, using both linear spinwave theory and a mapping to a Bosegas which gives exact results when the magnetization is almost saturated. Manyaspects of the experimental data are well accounted for by this approach.Comment: 13 Pages, 9 Figure

physical review. b, condensed matter and materials physics

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Ground states of a frustrated spin-12antiferromagnet:Cs2CuCl