Quantum magnetism and quantum phase transitions

Abstract:

A Reply to the Comment by D.-L. Mills. © 2007 The American Physical Society.

Abstract:

We report specific heat, magnetocaloric effect and magnetization measurements on single crystals of the frustrated quasi-2D spin - frac(1, 2) antiferromagnet Cs2 CuCl4 in the external magnetic field 0 ≤ B ≤ 12 T along a-axis and in the temperature range 0.03 K ≤ T ≤ 6 K. Decreasing the applied magnetic field B from high fields leads to the closure of the field induced gap in the magnon spectrum at a critical field Bc ≃ 8.44 T and a long-range incommensurate state below Bc. In the vicinity of Bc, the phase transition boundary is well described by the power law TN ∼ (Bc - B)^{1 / φ} with the measured critical exponent φ ≃ 1.5. These findings provide experimental evidence that the scaling law of the transition temperature TN can be described by the universality class of 3D Bose-Einstein condensation (BEC) of magnons. © 2007 NIMS and Elsevier Ltd.

Abstract:

We use series expansion methods to study ground- and excited-state properties in the helically ordered phase of spin-1/2 frustrated antiferromagnets on an anisotropic triangular lattice. We calculate the ground state energy, ordering wavevector, sublattice magnetization and one-magnon excitation spectrum for parameters relevant to Cs_2CuCl_4 and Cs_2CuBr_4. Both materials are modeled in terms of a Heisenberg model with spatially anisotropic exchange constants; for Cs_2CuCl_4 we also take into account the additional Dzyaloshinskii-Moriya (DM) interaction. We compare our results for Cs_2CuCl_4 with unpolarized neutron scattering experiments and find good agreement. In particular, the large quantum renormalizations of the one-magnon dispersion are well accounted for in our analysis, and inclusion of the DM interaction brings the theoretical predictions for the ordering wavevector and the magnon dispersion closer to the experimental results.