Many-body theory of magneto-elasticity in one dimension

Abstract

We construct a many-body theory of magneto-elasticity in one dimension and show that the dynamical correlation functions of the quantum magnet, connecting the spins with phonons, involve all energy scales. Accounting for all magnetic states non-perturbatively via the exact diagonalisation techniques of Bethe ansatz, we find that the renormalisation of the phonon velocity is a non-monotonous function of the external magnetic field and identify a new mechanism for attenuation of phonons - via hybridisation with the continuum of excitations at high energy. We conduct ultrasonic measurements on a high-quality single crystal of the frustrated spin-1/2 Heisenberg antiferromagnet ${\text{Cs}}_2{\text{CuCl}}_4$ in its one-dimensional regime and confirm the theoretical predictions, demonstrating that ultrasound can be used as a powerful probe of strong correlations in one dimension.

17 pages, 9 figures

References in corpus (8)

• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Coherent elastic excitation of spin waves
• The stable phases of the Cs2CuCl4-xBrx mixed systems
• Spinon Phonon Interaction and Ultrasonic Attenuation in Quantum Spin Liquids
• Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs_2CuCl_4
• Hierarchy of modes in an interacting system
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$

Cited by in corpus (2)

• Evidence of one-dimensional magnetic heat transport in the triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid