- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Applied

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Measuring the Magnon-Photon Coupling in Shaped Ferromagnets: Tuning of the Resonance Frequency

Sergio Martínez-Losa del Rincón1,2, Ignacio Gimeno1,2, Jorge Pérez-Bailón1,2, Victor Rollano1,2, Fernando Luis1,2, David Zueco1,2, and María José Martínez-Pérez1,2,*

  • 1Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, Zaragoza, Spain
  • 2Departamento de Física de la Materia Condensada, Universidad de Zaragoza, Zaragoza, Spain

  • *pemar@unizar.es
PDF

Phys. Rev. Applied 19, 014002 – Published 3 January, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.014002

Abstract

Cavity photons and ferromagnetic spin excitations can exchange information coherently in hybrid architectures, at speeds set by their mutual coupling strength. Speed enhancement is usually achieved by optimizing the geometry of the electromagnetic cavity. Here we show that the geometry of the ferromagnet also plays a role, by setting the fundamental frequency of the magnonic resonator. Using focused ion-beam patterning, we vary the aspect ratio of different Permalloy samples reaching operation frequencies above 10 GHz while working at low external magnetic fields. Additionally, we perform broadband ferromagnetic resonance measurements and cavity experiments that demonstrate that the light-matter coupling strength can be estimated using either open transmission lines or resonant cavities, yielding very good agreement. Finally, we describe a simple theoretical framework based on electromagnetic and micromagnetic simulations that successfully accounts for the experimental results. This approach can be used to design hybrid quantum systems exploiting magnetostatic mode excited in ferromagnets of arbitrary size and shape and to tune their operation conditions.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (49)

  1. A. Blais, J. Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, Quantum-information processing with circuit quantum electrodynamics, Phys. Rev. A 75, 032329 (2007).
  2. M. Harder, B. M. Yao, Y. S. Gui, and C.-M. Hu, Coherent and dissipative cavity magnonics, J. Appl. Phys. 129, 201101 (2021).
  3. Y. Li, W. Zhang, V. Tyberkevych, W.-K. Kwok, A. Hoffmann, and V. Novosad, Hybrid magnonics: Physics, circuits, and applications for coherent information processing, J. Appl. Phys. 128, 130902 (2020).
  4. D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
  5. Y. Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Hybridizing Ferromagnetic Magnons and Microwave Photons in the Quantum Limit, Phys. Rev. Lett. 113, 083603 (2014).
  6. H. Huebl, C. W. Zollitsch, J. Lotze, F. Hocke, M. Greifenstein, A. Marx, R. Gross, and S. T. B. Goennenwein, High Cooperativity in Coupled Microwave Resonator Ferrimagnetic Insulator Hybrids, Phys. Rev. Lett. 111, 127003 (2013).
  7. I. A. Golovchanskiy, N. N. Abramov, V. S. Stolyarov, M. Weides, V. V. Ryazanov, A. A. Golubov, A. V. Ustinov, and M. Y. Kupriyanov, Ultrastrong photon-to-magnon coupling in multilayered heterostructures involving superconducting coherence via ferromagnetic layers, Sci. Adv. 7, eabe8638 (2021).
  8. G. Flower, M. Goryachev, J. Bourhill, and M. E. Tobar, Experimental implementations of cavity-magnon systems from ultra strong coupling to applications in precision measurement, New J. Phys. 21, 095004 (2019).
  9. X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Strongly Coupled Magnons and Cavity Microwave Photons, Phys. Rev. Lett. 113, 156401 (2014).
  10. I. Golovchanskiy, N. Abramov, V. Stolyarov, A. Golubov, M. Y. Kupriyanov, V. Ryazanov, and A. Ustinov, Approaching Deep-Strong On-Chip Photon-to-Magnon Coupling, Phys. Rev. Appl. 16, 034029 (2021).
  11. N. J. Lambert, A. Rueda, F. Sedlmeir, and H. G. L. Schwefel, Coherent conversion between microwave and optical photons—An overview of physical implementations, Adv. Quantum Technol. 3, 1900077 (2020).
  12. R. Hisatomi, A. Osada, Y. Tabuchi, T. Ishikawa, A. Noguchi, R. Yamazaki, K. Usami, and Y. Nakamura, Bidirectional conversion between microwave and light via ferromagnetic magnons, Phys. Rev. B 93, 174427 (2016).
  13. Y. Li, V. G. Yefremenko, M. Lisovenko, C. Trevillian, T. Polakovic, T. W. Cecil, P. S. Barry, J. Pearson, R. Divan, V. Tyberkevych, C. L. Chang, U. Welp, W.-K. Kwok, and V. Novosad, Coherent Coupling of Two Remote Magnonic Resonators Mediated by Superconducting Circuits, Phys. Rev. Lett. 128, 047701 (2022).
  14. D. Lachance-Quirion, S. P. Wolski, Y. Tabuchi, S. Kono, K. Usami, and Y. Nakamura, Entanglement-based single-shot detection of a single magnon with a superconducting qubit, Science 367, 425 (2020).
  15. S. Wolski, D. Lachance-Quirion, Y. Tabuchi, S. Kono, A. Noguchi, K. Usami, and Y. Nakamura, Dissipation-Based Quantum Sensing of Magnons with a Superconducting Qubit, Phys. Rev. Lett. 125, 117701 (2020).
  16. Y.-Y. Wang, S. van Geldern, T. Connolly, Y.-X. Wang, A. Shilcusky, A. McDonald, A. A. Clerk, and C. Wang, Low-Loss Ferrite Circulator as a Tunable Chiral Quantum System, Phys. Rev. Appl. 16, 064066 (2021).
  17. N. Zhu, X. Han, C.-L. Zou, M. Xu, and H. X. Tang, Magnon-photon strong coupling for tunable microwave circulators, Phys. Rev. A 101, 043842 (2020).
  18. X. Zhang, A. Galda, X. Han, D. Jin, and V. M. Vinokur, Broadband Nonreciprocity Enabled by Strong Coupling of Magnons and Microwave Photons, Phys. Rev. Appl. 13, 044039 (2020).
  19. Y.-P. Wang, J. Rao, Y. Yang, P.-C. Xu, Y. Gui, B. Yao, J. You, and C.-M. Hu, Nonreciprocity and Unidirectional Invisibility in Cavity Magnonics, Phys. Rev. Lett. 123, 127202 (2019).
  20. D. M. Pozar, Microwave Engineering, 4th ed. (Wiley, USA, 2011).
  21. C. Kittel and D. F. Holcomb, Introduction to solid state physics, Am. J. Phys. 35, 547 (1967).
  22. L. R. Walker, Magnetostatic modes in ferromagnetic resonance, Phys. Rev. 105, 390 (1957).
  23. P. G. Baity, D. A. Bozhko, R. Macêdo, W. Smith, R. C. Holland, S. Danilin, V. Seferai, J. Barbosa, R. R. Peroor, S. Goldman, U. Nasti, J. Paul, R. H. Hadfield, S. McVitie, and M. Weides, Strong magnon–photon coupling with chip-integrated YIG in the zero-temperature limit, Appl. Phys. Lett. 119, 033502 (2021).
  24. L. Mihalceanu, V. I. Vasyuchka, D. A. Bozhko, T. Langner, A. Y. Nechiporuk, V. F. Romanyuk, B. Hillebrands, and A. A. Serga, Temperature-dependent relaxation of dipole-exchange magnons in yttrium iron garnet films, Phys. Rev. B 97, 214405 (2018).
  25. J. T. Hou and L. Liu, Strong Coupling Between Microwave Photons and Nanomagnet Magnons, Phys. Rev. Lett. 123, 107702 (2019).
  26. Y. Li, T. Polakovic, Y.-L. Wang, J. Xu, S. Lendinez, Z. Zhang, J. Ding, T. Khaire, H. Saglam, R. Divan, J. Pearson, W.-K. Kwok, Z. Xiao, V. Novosad, A. Hoffmann, and W. Zhang, Strong Coupling Between Magnons and Microwave Photons in On-Chip Ferromagnet-Superconductor Thin-Film Devices, Phys. Rev. Lett. 123, 107701 (2019).
  27. I. A. Golovchanskiy, N. N. Abramov, V. S. Stolyarov, I. V. Shchetinin, P. S. Dzhumaev, A. S. Averkin, S. N. Kozlov, A. A. Golubov, V. V. Ryazanov, and A. V. Ustinov, Probing dynamics of micro-magnets with multi-mode superconducting resonator, J. Appl. Phys. 123, 173904 (2018).
  28. I. Haygood, M. Pufall, E. Edwards, J. M. Shaw, and W. Rippard, Strong Coupling of an Fe-Co Alloy with Ultralow Damping to Superconducting Co-Planar Waveguide Resonators, Phys. Rev. Appl. 15, 054021 (2021).
  29. M. A. W. Schoen, D. Thonig, M. L. Schneider, T. J. Silva, H. T. Nembach, O. Eriksson, O. Karis, and J. M. Shaw, Ultra-low magnetic damping of a metallic ferromagnet, Nat. Phys. 12, 839 (2016).
  30. I. Gimeno, W. Kersten, M. C. Pallarés, P. Hermosilla, M. J. Martínez-Pérez, M. D. Jenkins, A. Angerer, C. Sánchez-Azqueta, D. Zueco, J. Majer, A. Lostao, and F. Luis, Enhanced molecular spin-photon coupling at superconducting nanoconstrictions, ACS Nano 14, 8707 (2020).
  31. P. Haikka, Y. Kubo, A. Bienfait, P. Bertet, and K. Mølmer, Proposal for detecting a single electron spin in a microwave resonator, Phys. Rev. A 95, 022306 (2017).
  32. M. D. Jenkins, U. Naether, M. Ciria, J. Sesé, J. Atkinson, C. Sánchez-Azqueta, E. del Barco, J. Majer, D. Zueco, and F. Luis, Nanoscale constrictions in superconducting coplanar waveguide resonators, Appl. Phys. Lett. 105, 162601 (2014).
  33. S. Probst, A. Bienfait, P. Campagne-Ibarcq, J. J. Pla, B. Albanese, J. F. D. S. Barbosa, T. Schenkel, D. Vion, D. Esteve, K. Mølmer, J. J. L. Morton, R. Heeres, and P. Bertet, Inductive-detection electron-spin resonance spectroscopy with 65 spins/Hz sensitivity, Appl. Phys. Lett. 111, 202604 (2017).
  34. C. Eichler, A. Sigillito, S. Lyon, and J. Petta, Electron Spin Resonance at the Level of 104 Spins using Low Impedance Superconducting Resonators, Phys. Rev. Lett. 118, 037701 (2017).
  35. M. J. Martínez-Pérez, J. Pablo-Navarro, B. Müller, R. Kleiner, C. Magén, D. Koelle, J. M. de Teresa, and J. Sesé, NanoSQUID magnetometry on individual as-grown and annealed co nanowires at variable temperature, Nano Lett. 18, 7674 (2018).
  36. A. Aharoni, Demagnetizing factors for rectangular ferromagnetic prisms, J. Appl. Phys. 83, 3432 (1998).
  37. D. Roy, C. Wilson, and O. Firstenberg, Colloquium: Strongly interacting photons in one-dimensional continuum, Rev. Mod. Phys. 89, 021001 (2017).
  38. Y. Zhao, Q. Song, S.-H. Yang, T. Su, W. Yuan, S. S. P. Parkin, J. Shi, and W. Han, Experimental investigation of temperature-dependent Gilbert damping in permalloy thin films, Sci. Rep. 6, 22890 (2016).
  39. M. Göppl, A. Fragner, M. Baur, R. Bianchetti, S. Filipp, J. M. Fink, P. J. Leek, G. Puebla, L. Steffen, and A. Wallraff, Coplanar waveguide resonators for circuit quantum electrodynamics, J. Appl. Phys. 104, 113904 (2008).
  40. U. Fano, Effects of configuration interaction on intensities and phase shifts, Phys. Rev. 124, 1866 (1961).
  41. P. Bushev, A. K. Feofanov, H. Rotzinger, I. Protopopov, J. H. Cole, C. M. Wilson, G. Fischer, A. Lukashenko, and A. V. Ustinov, Ultralow-power spectroscopy of a rare-earth spin ensemble using a superconducting resonator, Phys. Rev. B 84, 060501 (2011).
  42. M. J. Martínez-Pérez and D. Zueco, Quantum electrodynamics with magnetic textures, New J. Phys. 21, 115002 (2019).
  43. M. J. Martínez-Pérez and D. Zueco, Strong coupling of a single photon to a magnetic vortex, ACS Photonics 6, 360 (2018).
  44. T. Hümmer, G. M. Reuther, P. Hänggi, and D. Zueco, Nonequilibrium phases in hybrid arrays with flux qubits and nitrogen-vacancy centers, Phys. Rev. A 85, 052320 (2012).
  45. R. Macêdo, R. C. Holland, P. G. Baity, L. J. McLellan, K. L. Livesey, R. L. Stamps, M. P. Weides, and D. A. Bozhko, Electromagnetic Approach to Cavity Spintronics, Phys. Rev. Appl. 15, 024065 (2021).
  46. J. Bourhill, V. Castel, A. Manchec, and G. Cochet, Universal characterization of cavity–magnon polariton coupling strength verified in modifiable microwave cavity, J. Appl. Phys. 128, 073904 (2020).
  47. M. M. Khapaev, M. Y. Kupriyanov, E. Goldobin, and M. Siegel, Current distribution simulation for superconducting multi-layered structures, Supercond. Sci. Technol. 16, 24 (2002).
  48. M. Jenkins, T. Hümmer, M. J. Martínez-Pérez, J. García-Ripoll, D. Zueco, and F. Luis, Coupling single-molecule magnets to quantum circuits, New J. Phys. 15, 095007 (2013).
  49. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. V. Waeyenberge, The design and verification of MuMax3, AIP Adv. 4, 107133 (2014).

Outline

Information

Phys. Rev. Applied 19, 014002– Published 3 January, 2023
  • Received 8 July 2022
  • Revised 13 October 2022
  • Accepted 27 October 2022
Crossmark - Check for updates button

© 2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation