- Open Access
Coherent resonant transport of magnons through a ferromagnetic chain: A possible way to establish quantum communication between nanomagnets embedded in microwave cavities
Phys. Rev. Applied 25, 024072 – Published 24 February, 2026
DOI: https://doi.org/10.1103/v979-v754
Abstract
In hybrid microwave structures based on magnonics (so-called magnon cavities), the energy of the electromagnetic field can be transduced into the energy of magnetostatic spin excitations of a nanomagnet (Kittel magnon). This paper proposes a mechanism for transfer of coherent long-range spin excitation between nanomagnets, showing how Kittel magnons can be used for communication between magnon cavities. Analytical expressions for the magnon transport rate are obtained, and key parameters controlling off-resonant and resonant magnon tunneling regimes are indicated. Physical conditions are determined under which peak values of the rate characterizing the resonant transmission of the Kittel magnon arise either at a fixed tunneling energy with an arbitrary number of units in the ferromagnetic chain or at a fixed number of chain units with a varying tunneling energy. The features of resonant tunneling of the Kittel magnon formed in a magnon cavity at frequencies of about 10 GHz are analyzed. It is also shown that due to the strong photon-magnon coupling in the magnon cavity, at a certain magnetic field, the tunneling flow of magnons can reach an additional peak value, which reflects the process of resonant photon-to-magnon conversion.
Physics Subject Headings (PhySH)
Article Text
References (40)
- H. Huebl, C. W. Zollitsch, J. Lotse, F. Hocke, M. Greifenstein, A. Marx, R. Gross, and Sebastian T. B. Goennenwein, High cooperativity in coupled microwave resonator ferromagnetic insulator hybrids, Phys. Rev. Lett. 111, 127003 (2013).
- D. Lachance-Quirion, Yu. Tabuchi, A. Gloppe, K. Usami, and Ya. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
- D.- Q. To, A. Rai, M. O. Zide, S. Law, L. Q. Xiao, M. B. Jungfleisch, and M. F. Doty, Hybridized magnetic materials for THz frequency applications, J. Appl. Phys. 124, 082405 (2024).
- O. O. Soykal and M. F. Flatte, Strong field interaction between a nanomagnet and photonic cavity, Phys. Rev. Lett. 104, 077202 (2010).
- J. N. Hou and L. Liu, Strong coupling between microwave photons and nanomagnet magnons, Phys. Rev. Lett. 123, 107702 (2019).
- 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).
- A. V. Chumak, V. I. Vasyuchka, A. A. Serga, and B. Hillebrands, Magnon spintronics, Nat. Phys. 11, 453 (2015).
- Y. Kawamoto, T. Kikawa, M. Kawamata, Y. Umermoto, A. G. Manning, K. C. Rule, K. Ikeuchi, K. Kamazawa, M. Fujita, E. Saitoh, K. Kakurai, and I. Nambu, Understanding spin currents from magnon dispersion and polarization: Spin-Seebeck effect and neutron scattering study on , Appl. Phys. Lett. 124, 132406 (2024).
- W. Branford, Xi. Han, and Sh. Zhang, Materials, physics, and devices of magnonics, Appl. Phys. Lett. 125, 200402 (2024).
- P. M. Gunnink, T. Ludwig, and R. A. Duine, Magnon spin capacitor, Appl. Phys. Lett. 124, 182404 (2024).
- X. Ge, R. Verba, P. Pirro, A. V. Chumak, and Q. Wang, Nanoscale magnon transistor based on stimulated three-magnon splitting, Appl. Phys. Lett. 124, 122413 (2024).
- A. Hamadeh, O. d’Allivy Kelly, C. Hahn, H. Meley, R. Bernard, A. H. Molpeceres, V. V. Naletov, M. Viret, A. Anane, V. Cros, S. O. Demokritov, J. L. Prieto, M. Munoz, G. de Loubens, and O. Klein, Full control of the spin-wave damping in a magnetic insulator using spin-orbit torque, Phys. Rev. Lett. 113, 197203 (2014).
- T. Fisher, M. Kewenig, D. A. Bozhko, A. A. Serga, I. I. Syvorotka, F. Ciubotaru, C. Adelmann, B. Hillebrands, and A. V. Chumak, Experimental prototype of spin-wave majority gate, Appl. Phys. Lett. 110, 152407 (2017).
- F. C. Simeone, H. J. Yoon, M. M. Thuo, J. R. Barber, B. Smith, and G. M. Whitesides, Defining the value of injection current and effective electrical contact area for EGaIn-based molecular tunneling junctions, J. Am. Chem. Soc. 135, 18131 (2013).
- K.-C. Liao, L.-Y. Hsu, C. M. Bowers, H. Rabitz, and G. M. Whitesides, Molecular series-tunneling junctions, J. Am. Chem. Soc. 137, 5948 (2015).
- F. Chen, X. Li, J. Hihath, Z. Huang, and N. Tao, Effect of anchoring groups on single-molecule conductance, J. Am. Chem. Soc. 128, 15874 (2006).
- V. Mujica, M. Kemp, and M. A. Ratner, Electron conduction in molecular wires. II. Application to scanning tunneling microscopy, J. Chem. Phys. 101, 6856 (1994).
- E. G. Petrov, V. May, and P. Hänggi, Kinetic rectification of charge transmission through a single molecule, Phys. Rev. B 73, 045408 (2006).
- E. G. Petrov, Modified superexchange model for electron tunneling across the terminated molecular wire, Phys. Stat. Sol. B 256, 1900092 (2019).
- E. G. Petrov, Y. V. Shevchenko, V. Snitsarev, V. V. Gorbach, A. V. Ragulya, and S. Lyubchik, Features of superexchange nonresonant tunneling conductance in anchored molecular wires, AIP Adv. 9, 115120 (2019).
- E. G. Petrov, I. S. Tolokh, and V. May, Magnetic field control of an electron motion in molecular nanostructures: Steplike behavior and spin polarization of a bridge-assisted interelectrode current, Phys. Rev. Lett. 79, 4006 (1997).
- E. G. Petrov, I. S. Tolokh, and V. May, Magnetic field control of an electron tunnel current through a molecular wire, J. Chem. Phys. 108, 4386 (1998).
- S. Sanvito, Molecular spintronics, Chem. Soc. Rev. 40, 3336 (2011).
- E. G. Petrov, Long-range magnon transfer across a bridging ferromagnetic chain via sequential and tunnel routes, J. Appl. Phys. 135, 134301 (2024).
- S. Shen, M. Shiri, P. Mahalingam, Ch. Tang, T. Bills, A. J. Bushnell, T. A. Balandin, L. Mejia, H. Zhang, B. Xu, I. Franco, J. D. Azoulay, and K. Wang, Long-range resonant charge transport through open shell donor-acceptor macromolecules, J. Am. Chem. Soc. 147, 20310 (2025).
- J.-R. Deng, M. N. Gonzales, H. Zhu, H. L. Anderson, and E. Leary, Ballistic conductance through porphyrin nanoribbon, J. Am. Chem. Soc. 146, 3651 (2024).
- A. I. Akhiezer, V. G. Bar’yakhtar, and S. V. Peletminskii, Spin Waves (North-Holland, Amsterdam, 1968).
- R. W. Wait, Quantum Theory of Magnetism (McGraw-Hill, New York, 1970).
- P. Gambardella, A. Dallmeyer, K. Malti, M. C. Malagoll, W. Eberhardt, K. Kern, and C. Carbone, Ferromagnetism in one-dimensional monoatomic metal chains, Nature 416, 301 (2002).
- T. Sugano, S. J. Blundell, T. Lancaster, F. L. Pratt, and H. Mori, Magnetic order in the purely organic quasi-one-dimensional ferromagnet 2-benzimidazolyl nitronyl nitroxide, Phys. Rev. B 82, 180401(R) (2010).
- J. M. Clemente-Juan, E. Coronado, G. M. Espallargas, H. Adams, and L. Brammer, Effects of halogen bonding in ferromagnetic chains based on Co(II) coordination polymers, CrystEngComm 12, 2339 (2010).
- S. Friedländer, J. Liu, M. Addicoat, P. Petkov, N. Vankova, R. Rüger, A. Kuc, W. Guo, W. Zhou, B. Lukose, Zh. Wang, P. G. Weidler, A. P’́oppl, M. Ziese, T. Heine, and C. W’́oll, Linear chains of magnetic ions stacked with variable distance: Ferromagnetic ordering with a Curie temperature above 20 K, Angew. Chem. Int. Ed. 55, 12683 (2016).
- T. Yoshitake and T. Ishida, Ferromagnetic chains of ground triplet 5-methoxy-1,3-phenylene bis(tert-butyl nitroxide), Chem. Lett, 45, 391 (2016).
- 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).
- A. S. Davydov, Quantum Mechanics (Pergamon Press, Oxford, 1976), 2nd ed.
- R. S. Berkley, Z. Hooshmand, T. Jiang, D. Le, A. F. Hebard, and T. S. Rahman, Characteristics of single-molecule magnet dimer ([]) on graphene and h-BN, J. Phys. Chem. C124, 28186 (2020).
- N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, Amsterdam, 1983).
- S. Zöllner, H. D. Meyer, and P. Schmelcher, Tunneling dynamics of a few bosons in a double well, Phys. Rev. A 78, 013621 (2008).
- N.-N. Chang, Z.-F. Yu, A.-X. Zhang, and J.-K. Xue, Tunneling dynamics of a few bosons with both two- and three-body interactions in a double-well potential, Chin. Phys. B 26, 115202 (2017).
- A. U. J. Lode, Tunneling Dynamics in Open Ultracold Bosonic Systems (Springer Cham, Springer International Publishing, Switzerland, 2015).