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Parametric autoexcitation of magnetic droplet soliton perimeter modes

Journal article
Authors D. Xiao
V. Tiberkevich
Y. H. Liu
Y. W. Liu
S. M. Mohseni
Sunjae Chung
Martina Ahlberg
A. N. Slavin
Johan Åkerman
Yan Zhou
Published in Physical Review B. Condensed Matter and Materials Physics
Volume 95
Issue 2
Pages 024106
ISSN 1098-0121
Publication year 2017
Published at Department of Physics (GU)
Pages 024106
Language en
Links https://doi.org/10.1103/PhysRevB.95...
Keywords TORQUE NANO-OSCILLATORS; SPIN-WAVES; SKYRMIONS; DYNAMICS; FERROMAGNETS
Subject categories Physical Sciences

Abstract

Recent experiments performed in current-driven nanocontacts with strong perpendicular anisotropy have shown that spin-transfer torque can drive self-localized spin waves [W. H. Rippard, A. M. Deac, M. R. Pufall, J. M. Shaw, M. W. Keller, S. E. Russek, G. E. W. Bauer, and C. Serpico, Phys. Rev. B 81, 014426 (2010); S. M. Mohseni, S. R. Sani, J. Persson, T. N. A. Nguyen, S. Chung, Y. Pogoryelov, and J. Åkerman, Phys. Status Solidi RRL 5, 432 (2011)], that above a certain intensity threshold can condense into a nanosized and highly nonlinear dynamic state known as a magnetic droplet soliton [S. M. Mohseni, S. R. Sani, J. Persson, T. N. A. Nguyen, S. Chung, Y. Pogoryelov, P. K. Muduli, E. Iacocca, A. Eklund, R. K. Dumas, S. Bonetti, A. Deac, M. A. Hoefer, and J. Åkerman, Science 339, 1295 (2013)]. Here we demonstrate analytically, numerically, and experimentally that at sufficiently large driving currents and for a spin polarization direction tilted away from the normal to a nanocontact plane, the circular droplet soliton can become unstable against the excitations in the form of periodic deformations of its perimeter. We also show that these perimeter excitation modes (PEMs) can be excited parametrically when the fundamental droplet soliton precession frequency is close to the double frequency of one of the PEMs. As a consequence, with increasing magnitude of a bias magnetic field the PEMs with progressively higher indices and frequencies can be excited. Full qualitative and partly quantitative agreement with experiment confirm the presented theoretical picture.

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