Spin wave mode coexistence on the nanoscale: A consequence of the Oersted field induced asymmetric energy landscape

The emerging field of magnonics relies on the systematic generation, manipulation, and detection of spin waves (SWs). Nanocontact spin torque oscillators (NC-STOs) provide an ideal platform to study spin transfer torque induced SW emission [1, 2]. In analogy to two species competing for the same food supply it has been argued that only one SW mode can survive in the steady state [3]. However, as evidenced in many experiments clear signatures of mode-hopping are often observed [1, 4]. Here, we present a third possibility, namely that under the correct experimental conditions, mode \textit{coexistence }can be realized in NC-STOs [5]. Micromagnetic simulations reveal that the SW modes are spatially separated under the NC. Mode coexistence is facilitated by the local field asymmetries induced by the spatially inhomogeneous Oersted field in the vicinity of the NC and further promoted by SW localization. Finally, both simulation and experiment reveal a weak low frequency signal exactly at the difference of the mode frequencies, consistent with inter-modulation of two coexistent modes. \\[4pt] [1] S. Bonetti, V. Tiberkevich, G. Consolo, G. Finocchio, P. Muduli, F. Mancoff, A. Slavin, and J. {\AA}kerman, Phys. Rev. Lett. \textbf{105}, 217204 (2010). \\[0pt] [2] M. Madami, S. Bonetti, G. Consolo, S. Tacchi, G. Carlotti, G. Gubbiotti, F.B. Mancoff, M.A. Yar, and J. {\AA}kerman, Nature Nanotechnology \textbf{6}, 635 (2011). \\[0pt] [3] F. M. de Aguiar, A. Azevedo, and S. M. Rezende, Phys. Rev. B \textbf{75}, 132404 (2007).\\[0pt] [4] P. K. Muduli, O. G. Heinonen, and J. {\AA}kerman, Phys. Rev. Lett. \textbf{108}, 207203 (2012).\\[0pt] [5] R.K. Dumas, E. Iacocca, S. Bonetti, S.R. Sani, S.M. Mohseni, A. Eklund, J. Persson, O. Heinonen, and Johan {\AA}kerman, Phys. Rev. Lett. \textbf{110}, 257202 (2013).