Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Anisotropy-assisted magnon condensation in ferromagnetic thin films

Therese Frostad1, Philipp Pirro2, Alexander A. Serga2, Burkard Hillebrands2, Arne Brataas1, and Alireza Qaiumzadeh1

  • 1Center for Quantum Spintronics, Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
  • 2Fachbereich Physik and Landesforschungszentrum OPTIMAS, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, 67663 Kaiserslautern, Germany

Phys. Rev. Research 6, L012011 – Published 17 January, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012011

Abstract

We theoretically demonstrate that adding an easy-axis magnetic anisotropy facilitates magnon condensation in thin yttrium iron garnet (YIG) films. Dipolar interactions in a quasi-equilibrium state stabilize room-temperature magnon condensation in YIG. Even though the out-of-plane easy-axis anisotropy generally competes with the dipolar interactions, we show that adding such magnetic anisotropy may even assist the generation of the magnon condensate electrically via the spin-transfer torque mechanism. We use analytical calculations and micromagnetic simulations to illustrate this effect. Our results may explain the recent experiment on Bi-doped YIG and open a pathway toward applying current-driven magnon condensation in quantum spintronics.

View figure in article

Physics Subject Headings (PhySH)

Corrections

30 January, 2024

Correction: A typographical error in the second affiliation and the omission of a support statement in the Acknowledgments have been fixed.

Article Text

Supplemental Material

References (57)

  1. S. O. Demokritov, V. E. Demidov, O. Dzyapko, G. A. Melkov, A. A. Serga, B. Hillebrands, and A. N. Slavin, Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping, Nature (London) 443, 430 (2006).
  2. V. Cherepanov, I. Kolokolov, and V. L'vov, The saga of YIG: Spectra, thermodynamics, interaction and relaxation of magnons in a complex magnet, Phys. Rep. 229, 81 (1993).
  3. L. Soumah, N. Beaulieu, L. Qassym, C. Carrétéro, E. Jacquet, R. Lebourgeois, J. Ben Youssef, P. Bortolotti, V. Cros, and A. Anane, Ultra-low damping insulating magnetic thin films get perpendicular, Nat. Commun. 9, 3355 (2018).
  4. C. Dubs, O. Surzhenko, R. Thomas, J. Osten, T. Schneider, K. Lenz, J. Grenzer, R. Hübner, and E. Wendler, Low damping and microstructural perfection of sub-40nm-thin yttrium iron garnet films grown by liquid phase epitaxy, Phys. Rev. Mater. 4, 024416 (2020).
  5. S. Demokritov, Comment on “Bose–Einstein condensation and spin superfluidity of magnons in a perpendicularly magnetized yttrium iron garnet film,” JETP Lett. 115, 691 (2022).
  6. T. B. Noack, V. I. Vasyuchka, A. Pomyalov, V. S. L'vov, A. A. Serga, and B. Hillebrands, Evolution of room-temperature magnon gas: Toward a coherent Bose-Einstein condensate, Phys. Rev. B 104, L100410 (2021).
  7. D. Snoke, Coherent questions, Nature (London) 443, 403 (2006).
  8. R. E. Troncoso and A. S. Núñez, Dynamics and spontaneous coherence of magnons in ferromagnetic thin films, J. Phys.: Condens. Matter 24, 036006 (2012).
  9. P. Anderson and H. Suhl, Instability in the motion of ferromagnets at high microwave power levels, Phys. Rev. 100, 1788 (1955).
  10. H. Suhl, The non-linear behaviour of ferrites at high signal level, Proc. IRE 44, 1270 (1956).
  11. V. E. Demidov, O. Dzyapko, M. Buchmeier, T. Stockhoff, G. Schmitz, G. A. Melkov, and S. O. Demokritov, Magnon kinetics and Bose-Einstein condensation studied in phase space, Phys. Rev. Lett. 101, 257201 (2008).
  12. S. M. Rezende, Theory of coherence in Bose-Einstein condensation phenomena in a microwave-driven interacting magnon gas, Phys. Rev. B 79, 174411 (2009).
  13. P. Nowik-Boltyk, O. Dzyapko, V. Demidov, N. Berloff, and S. Demokritov, Spatially non-uniform ground state and quantized vortices in a two-component Bose-Einstein condensate of magnons, Sci. Rep. 2, 482 (2012).
  14. A. A. Serga, V. S. Tiberkevich, C. W. Sandweg, V. I. Vasyuchka, D. A. Bozhko, A. V. Chumak, T. Neumann, B. Obry, G. A. Melkov, A. N. Slavin et al., Bose–Einstein condensation in an ultra-hot gas of pumped magnons, Nat. Commun. 5, 3452 (2014).
  15. D. A. Bozhko, A. A. Serga, P. Clausen, V. I. Vasyuchka, F. Heussner, G. A. Melkov, A. Pomyalov, V. S. L'vov, and B. Hillebrands, Supercurrent in a room-temperature Bose–Einstein magnon condensate, Nat. Phys. 12, 1057 (2016).
  16. C. Sun, T. Nattermann, and V. L. Pokrovsky, Unconventional superfluidity in yttrium iron garnet films, Phys. Rev. Lett. 116, 257205 (2016).
  17. O. Dzyapko, P. Nowik-Boltyk, B. Koene, V. E. Demidov, J. Jersch, A. Kirilyuk, T. Rasing, and S. O. Demokritov, High-resolution magneto-optical Kerr-effect spectroscopy of magnon Bose–Einstein condensate, IEEE Magn. Lett. 7, 1 (2016).
  18. I. Borisenko, B. Divinskiy, V. Demidov, G. Li, T. Nattermann, V. Pokrovsky, and S. Demokritov, Direct evidence of spatial stability of Bose-Einstein condensate of magnons, Nat. Commun. 11, 1691 (2020).
  19. M. Schneider, T. Brächer, D. Breitbach, V. Lauer, P. Pirro, D. A. Bozhko, H. Yu. Musiienko-Shmarova, B. Heinz, Q. Wang, T. Meyer et al., Bose-Einstein condensation of quasiparticles by rapid cooling, Nat. Nanotechnol. 15, 457 (2020).
  20. M. Schneider, D. Breitbach, R. O. Serha, Q. Wang, M. Mohseni, A. A. Serga, A. N. Slavin, V. S. Tiberkevich, B. Heinz, T. Brächer, B. Lägel, C. Dubs, S. Knauer, O. V. Dobrovolskiy, P. Pirro, B. Hillebrands, and A. V. Chumak, Stabilization of a nonlinear magnonic bullet coexisting with a Bose-Einstein condensate in a rapidly cooled magnonic system driven by spin-orbit torque, Phys. Rev. B 104, L140405 (2021).
  21. C. Safranski, I. Barsukov, H. Lee et al., Spin caloritronic nano-oscillator, Nat. Commun. 8, 117 (2017).
  22. B. Divinskiy, H. Merbouche, V. E. Demidov, K. Nikolaev, L. Soumah, D. Gouéré, R. Lebrun, V. Cros, J. B. Youssef, P. Bortolotti, A. Anane, and S. O. Demokritov, Evidence for spin current driven Bose-Einstein condensation of magnons, Nat. Commun. 12, 6541 (2021).
  23. M. Schneider, D. Breitbach, R. O. Serha, Q. Wang, A. A. Serga, A. N. Slavin, V. S. Tiberkevich, B. Heinz, B. Lägel, T. Brächer, C. Dubs, S. Knauer, O. V. Dobrovolskiy, P. Pirro, B. Hillebrands, and A. V. Chumak, Control of the Bose-Einstein condensation of magnons by the spin Hall effect, Phys. Rev. Lett. 127, 237203 (2021).
  24. D. Breitbach, M. Schneider, B. Heinz, F. Kohl, J. Maskill, L. Scheuer, R. O. Serha, T. Brächer, B. Lägel, C. Dubs, V. S. Tiberkevich, A. N. Slavin, A. A. Serga, B. Hillebrands, A. V. Chumak, and P. Pirro, Stimulated amplification of propagating spin waves, Phys. Rev. Lett. 131, 156701 (2023).
  25. V. E. Demidov, S. Urazhdin, E. R. J. Edwards, M. D. Stiles, R. D. McMichael, and S. O. Demokritov, Control of magnetic fluctuations by spin current, Phys. Rev. Lett. 107, 107204 (2011).
  26. V. Demidov, S. Urazhdin, G. De Loubens, O. Klein, V. Cros, A. Anane, and S. Demokritov, Magnetization oscillations and waves driven by pure spin currents, Phys. Rep. 673, 1 (2017).
  27. S. A. Bender, R. A. Duine, and Y. Tserkovnyak, Electronic pumping of quasiequilibrium Bose-Einstein-condensed magnons, Phys. Rev. Lett. 108, 246601 (2012).
  28. S. A. Bender, R. A. Duine, A. Brataas, and Y. Tserkovnyak, Dynamic phase diagram of dc-pumped magnon condensates, Phys. Rev. B 90, 094409 (2014).
  29. Y. Tserkovnyak, S. A. Bender, R. A. Duine, and B. Flebus, Bose-Einstein condensation of magnons pumped by the bulk spin Seebeck effect, Phys. Rev. B 93, 100402(R) (2016).
  30. K. Nakata, K. A. van Hoogdalem, P. Simon, and D. Loss, Josephson and persistent spin currents in Bose-Einstein condensates of magnons, Phys. Rev. B 90, 144419 (2014).
  31. S. N. Andrianov and S. A. Moiseev, Magnon qubit and quantum computing on magnon Bose-Einstein condensates, Phys. Rev. A 90, 042303 (2014).
  32. M. Mohseni, V. I. Vasyuchka, V. S. L'vov, A. A. Serga, and B. Hillebrands, Classical analog of qubit logic based on a magnon Bose–Einstein condensate, Commun. Phys. 5, 196 (2022).
  33. Y. M. Bunkov, A. N. Kuzmichev, T. R. Safin, P. M. Vetoshko, V. I. Belotelov, and M. S. Tagirov, Quantum paradigm of the foldover magnetic resonance, Sci. Rep. 11, 7673 (2021).
  34. O. Dzyapko, I. Lisenkov, P. Nowik-Boltyk, V. E. Demidov, S. O. Demokritov, B. Koene, A. Kirilyuk, T. Rasing, V. Tiberkevich, and A. Slavin, Magnon-magnon interactions in a room-temperature magnonic Bose-Einstein condensate, Phys. Rev. B 96, 064438 (2017).
  35. S. Demokritov, V. Demidov, O. Dzyapko, G. Melkov, and A. Slavin, Quantum coherence due to Bose–Einstein condensation of parametrically driven magnons, New J. Phys. 10, 045029 (2008).
  36. V. E. Demidov, O. Dzyapko, S. O. Demokritov, G. A. Melkov, and A. N. Slavin, Observation of spontaneous coherence in Bose-Einstein condensate of magnons, Phys. Rev. Lett. 100, 047205 (2008).
  37. S. M. Rezende, Theory of microwave superradiance from a Bose-Einstein condensate of magnons, Phys. Rev. B 79, 060410(R) (2009).
  38. I. S. Tupitsyn, P. C. E. Stamp, and A. I. Burin, Stability of Bose-Einstein condensates of hot magnons in yttrium iron garnet films, Phys. Rev. Lett. 100, 257202 (2008).
  39. F. Li, W. M. Saslow, and V. L. Pokrovsky, Phase diagram for magnon condensate in yttrium iron garnet film, Sci. Rep. 3, 1372 (2013).
  40. H. Salman, N. G. Berloff, and S. O. Demokritov, Microscopic theory of Bose-Einstein condensation of magnons at room temperature, in Universal Themes of Bose-Einstein Condensation, edited by N. P. Proukakis, D. W. Snoke, and P. B. Littlewood (Cambridge University Press, Cambridge, 2017), Chap. 25, p. 493.
  41. J. Hick, F. Sauli, A. Kreisel, and P. Kopietz, Bose-Einstein condensation at finite momentum and magnon condensation in thin film ferromagnets, Eur. Phys. J. B 78, 429 (2010).
  42. V. E. Demidov, O. Dzyapko, S. O. Demokritov, G. A. Melkov, and A. N. Slavin, Thermalization of a parametrically driven magnon gas leading to Bose-Einstein condensation, Phys. Rev. Lett. 99, 037205 (2007).
  43. M. Mohseni, A. Qaiumzadeh, A. A. Serga, A. Brataas, B. Hillebrands, and P. Pirro, Bose–Einstein condensation of nonequilibrium magnons in confined systems, New J. Phys. 22, 083080 (2020).
  44. M. Lakshmanan, The fascinating world of the Landau–Lifshitz–Gilbert equation: An overview, Philos. Trans. R. Soc. London A 369, 1280 (2011).
  45. L. Landau and E. Lifshitz, 3 - On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, in Perspectives in Theoretical Physics, edited by L. P. Pitaevski (Pergamon, Amsterdam, 1992), pp. 51–65.
  46. T. L. Gilbert, A phenomenological theory of damping in ferromagnetic materials, IEEE Trans. Magn. 40, 3443 (2004).
  47. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L012011 for more details on the magnon Hamiltonian and simulation.
  48. T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev. 58, 1098 (1940).
  49. S. Streib, N. Vidal-Silva, K. Shen, and G. E.W. Bauer, Magnon-phonon interactions in magnetic insulators, Phys. Rev. B 99, 184442 (2019).
  50. H. Maier-Flaig, S. Klingler, C. Dubs, O. Surzhenko, R. Gross, M. Weiler, H. Huebl, and S. T. B. Goennenwein, Temperature-dependent magnetic damping of yttrium iron garnet spheres, Phys. Rev. B 95, 214423 (2017).
  51. A. D. Boardman and S. A. Nikitov, Three-and four-magnon decay of nonlinear surface magnetostatic waves in thin ferromagnetic films, Phys. Rev. B 38, 11444 (1988).
  52. A. J. Princep, R. A. Ewings, S. Ward, S. Tóth, C. Dubs, D. Prabhakaran, and A. T. Boothroyd, The full magnon spectrum of yttrium iron garnet, npj Quantum Mater. 2, 63 (2017).
  53. A. A. Serga, A.V. Chumak, and B. Hillebrands, YIG magnonics, J. Phys. D: Appl. Phys. 43, 264002 (2010).
  54. F. J. Buijnsters, L. J. Van Tilburg, A. Fasolino, and M. I. Katsnelson, Two-dimensional dispersion of magnetostatic volume spin waves, J. Phys.: Condens. Matter 30, 255803 (2018).
  55. H. Zabel and M. Farle, Magnetic Nanostructures: Spin Dynamics and Spin Transport (Springer, New York, 2012), Vol. 246.
  56. C. Sun, T. Nattermann, and V. L. Pokrovsky, Bose–Einstein condensation and superfluidity of magnons in yttrium iron garnet films, J. Phys. D: Appl. Phys. 50, 143002 (2017).
  57. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, The design and verification of MuMax3, AIP Adv. 4, 107133 (2014).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation