{ "id": "1610.00295", "version": "v1", "published": "2016-10-02T15:52:00.000Z", "updated": "2016-10-02T15:52:00.000Z", "title": "Many-body theory of magneto-elasticity in one dimension", "authors": [ "O. Tsyplyatyev", "P. Kopietz", "P. T. Cong", "B. Wolf", "Y. Tsui", "N. van Well", "F. Ritter", "C. Krellner", "W. Aßmus", "M. Lang" ], "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-10-02T15:52:00.000Z" } ], "analyses": { "keywords": [ "many-body theory", "magneto-elasticity", "high-quality single crystal", "conduct ultrasonic measurements", "exact diagonalisation techniques" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }