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arXiv · 1610.00295

Many-body theory of magneto-elasticity in one dimension

O. Tsyplyatyev·P. Kopietz·Y. Tsui·B. Wolf·P. T. Cong·N. van Well·F. Ritter·C. Krellner·W. Aßmus·M. Lang
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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 $\textrm{Cs}_{2}\textrm{CuCl}_{4}$ 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.

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O. Tsyplyatyev, P. Kopietz, Y. Tsui, B. Wolf, P. T. Cong, N. van Well, F. Ritter, C. Krellner, W. Aßmus, M. Lang. 2017-01-19. Many-body theory of magneto-elasticity in one dimension. https://doi.org/10.1103/physrevb.95.045120

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