Many-body theory of magnetoelasticity in one dimension

O. Tsyplyatyev, P. Kopietz, Y. Tsui, B. Wolf, P. T. Cong, N. van Well, F. Ritter, C. Krellner, W. Aßmus, and M. Lang
Phys. Rev. B 95, 045120 – Published 17 January 2017

Abstract

We construct a many-body theory of magnetoelasticity 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 nonperturbatively via the exact diagonalization techniques of Bethe ansatz, we find that the renormalization of the phonon velocity is a nonmonotonous function of the external magnetic field and identify a new mechanism for attenuation of phonons—via hybridization 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 Cs2CuCl4 in its nearly one-dimensional regime and confirm the theoretical predictions, demonstrating that ultrasound can be used as a powerful probe of strong correlations in one dimension.

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  • Received 13 August 2016
  • Revised 23 December 2016

DOI:https://doi.org/10.1103/PhysRevB.95.045120

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

O. Tsyplyatyev and P. Kopietz

  • Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue Strasse 1, 60438 Frankfurt am Main, Germany

Y. Tsui, B. Wolf, P. T. Cong*, N. van Well, F. Ritter, C. Krellner, W. Aßmus, and M. Lang

  • Physikalisches Institut, Goethe-Universität Frankfurt, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany

  • *Present address: Dresden High Magnetic Field Laboratory, Helmholtz-Zentrum Dresden-Rossendorf, D-01314 Dresden, Germany.
  • Present address: Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institute, 5232 Villigen, Switzerland.

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Issue

Vol. 95, Iss. 4 — 15 January 2017

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