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.

arXiv comment17 pages, 9 figures

References in corpus (25)

• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Computation of dynamical correlation functions of Heisenberg chains in a field
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• One-particle dynamical correlations in the one-dimensional Bose gas
• Magneto-elastic modes and lifetime of magnons in thin yttrium-iron garnet films
• Coherent elastic excitation of spin waves
• Bethe's equation is incomplete for the XXZ model at roots of unity
• The Quasi-1D S=1/2 Antiferromagnet Cs2CuCl4 in a Magnetic Field
• Rayleigh-Jeans condensation of pumped magnons in thin film ferromagnets
• 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
• Nonlinear spectra of spinons and holons in short GaAs quantum wires
• Actuation, propagation, and detection of transverse magnetoelastic waves in ferromagnets
• Hierarchy of modes in an interacting system
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Origin of the singular Bethe ansatz solutions for the Heisenberg XXZ spin chain
• Nature of the many-body excitations in a quantum wire: theory and experiment
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$
• Magneto-acoustic study near the quantum critical point of the frustrated quantum antiferromagnet Cs2CuCl4

Cited by in corpus (3)

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