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Field dispersion and strong coupling of nuclear-electron spin excitation in
Phys. Rev. Research 7, 033083 – Published 22 July, 2025
DOI: https://doi.org/10.1103/z4z2-kj1t
Abstract
Hybridized nuclear and electron spin excitation in a crystal, a weakly anisotropic antiferromagnet, has been investigated. In this material, the hyperfine interaction is strong enough to form a nuclear spin wave. We measure the microwave absorption induced by magnetic resonance in a bulk and observe the dispersion representing strong frequency repulsion between electron and nuclear modes due to their hybridization, the signature of nuclear spin wave. Additionally, we observe that the nuclear spin resonance enters a nonlinear regime above a certain excitation power, attributed to the excitation of finite-wavenumber nuclear spin waves.
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References (50)
- A. Abragam, The Principles of Nuclear Magnetism (Oxford University Press, Oxford, 1961), Vol. 32.
- Y. Shiomi, J. Lustikova, S. Watanabe, D. Hirobe, S. Takahashi, and E. Saitoh, Spin pumping from nuclear spin waves, Nat. Phys. 15, 22 (2019).
- T. Kikkawa, D. Reitz, H. Ito, T. Makiuchi, T. Sugimoto, K. Tsunekawa, S. Daimon, K. Oyanagi, R. Ramos, S. Takahashi, Y. Shiomi, Y. Tserkovnyak, and E. Saitoh, Observation of nuclear-spin Seebeck effect, Nat. Commun. 12, 4356 (2021).
- S. M. Rezende, Introduction to nuclear spin waves in ferro- and antiferromagnets, J. Appl. Phys. 132, 091101 (2022).
- S. Maekawa, T. Kikkawa, H. Chudo, J. Ieda, and E. Saitoh, Spin and spin current—From fundamentals to recent progress, J. Appl. Phys. 133, 020902 (2023).
- T. Kikkawa and E. Saitoh, Spin Seebeck effect: Sensitive probe for elementary excitation, spin correlation, transport, magnetic order, and domains in solids, Annu. Rev. Condens. Matter Phys. 14, 129 (2023).
- S. Chigusa, T. Moroi, K. Nakayama, and T. Sichanugrist, Dark matter detection using nuclear magnetization in magnet with hyperfine interaction, Phys. Rev. D 108, 095007 (2023).
- H. Suhl, Effective nuclear spin interactions in ferromagnets, Phys. Rev. 109, 606 (1958).
- T. Nakamura, Indirect coupling of nuclear spins in antiferromagnet with particular reference to at very low temperatures, Prog. Theor. Phys. 20, 542 (1958).
- P. G. de Gennes, P. A. Pincus, F. Hartmann-Boutron, and J. M. Winter, Nuclear magnetic resonance modes in magnetic material. I. Theory, Phys. Rev. 129, 1105 (1963).
- A. V. Andrienko, V. I. Ozhogin, V. L. Safonov, and A. Y. Yakubovskii, Nuclear spin wave research, Sov. Phys. Usp. 34, 843 (1991).
- M. Date, Magnetic resonance in , J. Phys. Soc. Jpn. 15, 2251 (1960).
- A. S. Borovik-Romanov, N. M. Kreines, and L. A. Prozorova, Antiferromagnetic resonance in , Sov. Phys. JETP 18, 46 (1964).
- H. Fink and D. Shaltiel, Nuclear frequency pulling in a Dzialoshinskii-Moriya-type weak ferromagnet: , Phys. Rev. 136, A218 (1964).
- A. S. Borovik-Romanov and V. A. Tulin, Mixed electron-nuclear resonance in antiferromagnetic , JETP Lett. 1, 134 (1965).
- P. M. Richards, Nuclear spin-wave relaxation and narrowing of NMR lines in ferro- and antiferromagnets, Phys. Rev. 173, 581 (1968).
- S. A. Govorkov and V. A. Tulin, Relaxation of nuclear spin waves in antiferromagnetic , Sov. Phys. JETP 46, 558 (1977).
- Y. M. Bunkov, E. M. Alakshin, R. R. Gazizulin, A. V. Klochkov, V. V. Kuzmin, V. S. L'vov, and M. S. Tagirov, High- spin superfluidity in antiferromagnets, Phys. Rev. Lett. 108, 177002 (2012).
- L. V. Abdurakhimov, Y. M. Bunkov, and D. Konstantinov, Normal-mode splitting in the coupled system of hybridized nuclear magnons and microwave photons, Phys. Rev. Lett. 114, 226402 (2015).
- L. V. Abdurakhimov, M. A. Borich, Y. M. Bunkov, R. R. Gazizulin, D. Konstantinov, M. I. Kurkin, and A. P. Tankeyev, Nonlinear NMR and magnon BEC in antiferromagnetic materials with coupled electron and nuclear spin precession, Phys. Rev. B 97, 024425 (2018).
- D. M. Sherman, Electronic structures of siderite () and rhodochrosite (): Oxygen -edge spectroscopy and hybrid density functional theory, Am. Mineral. 94, 166 (2009).
- H. Effenberger, K. Mereiter, and J. Zemann, Crystal structure refinements of magnesite, calcite, rhodochrosite, siderite, smithonite, and dolomite, with discussion of some aspects of the stereochemistry of calcite type carbonates, Z. Kristallogr.-Crystall. Mater. 156, 233 (1981).
- J. B. Lee, W. G. Hong, H. J. Kim, Z. Jagličić, S. Jazbec, M. Wencka, A. Jelen, and J. Dolinšek, Canted antiferromagnetism on a nanodimensional spherical surface geometry: The case of small hollow nanospheres, Phys. Rev. B 86, 224407 (2012).
- I. Dzyaloshinsky, A thermodynamic theory of “weak” ferromagnetism of antiferromagnets, J. Phys. Chem. Solids 4, 241 (1958).
- T. Moriya, Anisotropic superexchange interaction and weak ferromagnetism, Phys. Rev. 120, 91 (1960).
- S. M. Rezende, Fundamentals of Magnonics, 1st ed. (Springer, Berlin, 2020).
- W. B. Mims, G. E. Devlin, S. Geschwind, and V. Jaccarino, New value for the nuclear magnetic moment, Phys. Lett. A 24, 481 (1967).
- Keysight PNA N5221A, Data Sheet and Technical Specifications, frequency range: 10 MHz to 13.5 GHz, power range: to +20 dBm, typical dynamic range: 130 dB.
- D. E. Beeman, Magnetostatic modes in antiferromagnets and canted antiferromagnets, J. Appl. Phys. 37, 1136 (1966).
- D. E. Beeman, H. J. Fink, and D. Shaltiel, Magnetostatic modes in the canted antiferromagnet , Phys. Rev. 147, 454 (1966).
- X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Strongly coupled magnons and cavity microwave photons, Phys. Rev. Lett. 113, 156401 (2014).
- D. MacNeill, J. T. Hou, D. R. Klein, P. Zhang, P. Jarillo-Herrero, and L. Liu, Gigahertz frequency antiferromagnetic resonance and strong magnon-magnon coupling in the layered crystal , Phys. Rev. Lett. 123, 047204 (2019).
- L. Liensberger, A. Kamra, H. Maier-Flaig, S. Geprägs, A. Erb, S. T. B. Goennenwein, R. Gross, W. Belzig, H. Huebl, and M. Weiler, Exchange-enhanced ultrastrong magnon-magnon coupling in a compensated ferrimagnet, Phys. Rev. Lett. 123, 117204 (2019).
- T. Hioki, Y. Hashimoto, and E. Saitoh, Coherent oscillation between phonons and magnons, Commun. Phys. 5, 115 (2022).
- 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).
- 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).
- J. Bourhill, N. Kostylev, M. Goryachev, D. L. Creedon, and M. E. Tobar, Ultrahigh cooperativity interactions between magnons and resonant photons in a YIG sphere, Phys. Rev. B 93, 144420 (2016).
- D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
- 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).
- J. T. Hou and L. Liu, Strong coupling between microwave photons and nanomagnet magnons, Phys. Rev. Lett. 123, 107702 (2019).
- A. S. Borovik-Romanov and M. P. Orlova, Magnetic properties of cobalt and manganese carbonates, Sov. Phys. JETP 4, 531 (1957).
- A. S. Borovik-Romanov, Investigation of weak ferromagnetism in the single crystal, Sov. Phys. JETP 36, 539 (1959).
- I. Maartense, Magnetism of synthetic and natural , Phys. Rev. 188, 924 (1969).
- I. Maartense, Magnetic properties of -doped , Phys. Rev. B 6, 4324 (1972).
- H. C. Meijer, L. M. W. A. Pimmelaar, S. R. Brouwer, and J. Van den Handel, Some magnetic properties of at low field strenghts, Physica 46, 279 (1970).
- R. A. Robie, H. T. Haselton, and B. S. Hemingway, Heat capacities and entropies of rhodochrosite () and siderite () between 5 and 600 K, Am. Mineral. 69, 349 (1984).
- A. Kosterov, T. Frederichs, and T. von Dobeneck, Low-temperature magnetic properties of rhodochrosite (), Phys. Earth Planet. Inter. 154, 234 (2006).
- D. Pincini, F. Fabrizi, G. Beutier, G. Nisbet, H. Elnaggar, V. E. Dmitrienko, M. I. Katsnelson, Y. O. Kvashnin, A. I. Lichtenstein, V. V. Mazurenko, E. N. Ovchinnikova, O. V. Dimitrova, and S. P. Collins, Role of the orbital moment in a series of isostructural weak ferromagnets, Phys. Rev. B 98, 104424 (2018).
- E. A. Turov and V. G. Kuleev, Coupled oscillations of electronic and nuclear spins in antiferromagnets, Sov. Phys. JETP 22, 176 (1966).
- D. Shaltiel, Nuclear magnetic resonance of in the canted spin state, Phys. Rev. 142, 300 (1966).