Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs_2CuCl_4

Abstract

In an external magnetic field perpendicular to the plane of the layers, the quasi two-dimensional frustrated antiferromagnet Cs_2CuCl_4 exhibits a magnetically ordered "cone state" at low temperatures. In this state the component of the magnetic moments in field direction is finite, while their projection onto the plane of the layers forms a spiral. We present both theoretical and experimental results for the magnetic field dependence of the elastic constants and the ultrasonic attenuation rate in the cone state. Our theoretical analysis is based on the usual spin-wave expansion around the classical ground state of a Heisenberg model on an anisotropic triangular lattice with Dzyaloshinskii-Moriya interactions. Magnon-phonon interactions are modeled by expanding the exchange interactions up to second order in powers of the phonon coordinates. As long as the external magnetic field is not too close to the critical field where the cone state becomes unstable, we obtain reasonable agreement between theory and experiment, suggesting that at least in this regime magnons behave as well-defined quasiparticles. We also show that the assumption of well-defined magnons implies that at long wavelengths the ultrasonic attenuation rate in the cone state of Cs_2CuCl_4 is proportional to the fourth power of the phonon momentum.

arXiv comment20 pages, 7 figures, final version published in PRB

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• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Spin correlations and Dzyaloshinskii-Moriya interaction in Cs${}_2$CuCl${}_4$
• Majorana spin liquid and dimensional reduction in Cs2CuCl4
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Raman scattering in a Heisenberg S=1/2 antiferromagnet on the anisotropic triangular lattice
• Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
• Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$ at finite temperatures in magnetic fields higher than the saturation field
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$
• On the compressibility of deformable spin chains in a vicinity of quantum critical points
• Magneto-acoustic study near the quantum critical point of the frustrated quantum antiferromagnet Cs2CuCl4
• Spin relaxation in Cs${}_2$CuCl${}_{4-x}$Br${}_x$
• Many-body theory of magneto-elasticity in one dimension
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Magnon-phonon interactions in the spinel compound MnSc${}_2$Se${}_4$
• Singular spin-wave theory and scattering continua in the cone state of Cs_2CuCl_4
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study