Refining magnetic interactions from the magnetic field dependence of spin-wave excitations in magnetoelectric LiFePO$_4$

L. Peedu, V. Kocsis, D. Szaller, B. Forrai, S. Bordács, I. Kézsmárki, 5 J. Viirok, U. Nagel, B. Bernáth, D. L. Kamenskyi, A. Miyata, O. Portugall, Y. Tokunaga, 8 Y. Tokura, 9 Y. Taguchi, and T. Rõõm National Institute of Chemical Physics and Biophysics, Akadeemia tee 23, 12618 Tallinn, Estonia RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria Department of Physics, Institute of Physics, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary Experimental Physics 5, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86159 Augsburg, Germany High Field Magnet Laboratory (HFML-EMFL), Radboud University, Toernooiveld 7, 6525 ED Nijmegen, The Netherlands Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), CNRS-UGA-UT3-INSA,143 Avenue de Rangueil, 31400 Toulouse, France Department of Advanced Materials Science, University of Tokyo, Kashiwa 277-8561, Japan Department of Applied Physics, University of Tokyo, Hongo, Tokyo 113-8656, Japan (Dated: April 28, 2022)