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Magnetic anisotropy of individually addressed spin states

L. C. J. M. Peters1,2, P. C. M. Christianen1,2, H. Engelkamp1,2, G. C. Groenenboom2, J. C. Maan1,2, E. Kampert1,2,*, P. T. Tinnemans2, A. E. Rowan2,†, and U. Zeitler1,2,‡

  • 1High Field Magnet Laboratory (HFML - EMFL), Radboud University, Toernooiveld 7, 6525 ED Nijmegen, The Netherlands
  • 2Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands

  • *Present address: WMG, University of Warwick, Coventry CV4 7AL, U.K.
  • †Present address: Australian Institute for Bioengineering and Nanotechnology (AIBN), The University of Queensland, Brisbane, QLD 4072, Australia.
  • ‡Uli.Zeitler@ru.nl
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Phys. Rev. Research 3, L042042 – Published 16 December, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042042

Abstract

Controlling magnetic anisotropy is a key requirement for the fundamental understanding of molecular magnetism and is a prerequisite for numerous applications in magnetic storage, spintronics, and all-spin logic devices. In order to address the question of molecular magnetic anisotropy experimentally, we have synthesized single crystals of a molecular spin system containing four antiferromagnetically coupled s=5/2 manganese(II) ions. Using low-temperature cantilever magnetometry, we demonstrate the selective population of the S=0,1,...,10 spin states upon application of magnetic fields up to 33 T and map the magnetic anisotropy of each of these states. We observe a strong dependence of the shape and size of the magnetic anisotropy on the populated spin states, and, in particular, reveal an anisotropy reversal upon going from the lowest to the highest spin state.

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References (32)

  1. H. X. Yang, M. Chshiev, B. Dieny, J. H. Lee, A. Manchon, and K. H. Shin, First-principles investigation of the very large perpendicular magnetic anisotropy at Fe∣MgO and Co∣MgO interfaces, Phys. Rev. B 84, 054401 (2011).
  2. S. Ikeda, K. Miura, H. Yamamoto, K. Mizunuma, H. D. Gan, M. Endo, S. Kanai, J. Hayakawa, F. Matsumura, and H. Ohno, A perpendicular-anisotropy CoFeB-MgO magnetic tunnel junction, Nat. Mater. 9, 721 (2010).
  3. P. Jacobson, T. Herden, M. Muenks, G. Laskin, O. Brovko, V. Stepanyuk, M. Ternes, and K. Kern, Quantum engineering of spin and anisotropy in magnetic molecular junctions, Nat. Commun. 6, 8536 (2015).
  4. B. Behin-Aein, D. Datta, S. Salahuddin, and S. Datta, Proposal for an all-spin logic device with built-in memory, Nat. Nanotech. 5, 266 (2010).
  5. S. Ma, A. Tan, J. X. Deng, J. Li, Z. D. Zhang, C. Hwang, and Z. Q. Qiu, Tailoring the magnetic anisotropy of Py/Ni bilayer films using well aligned atomic steps on Cu(001), Sci. Rep. 5, 11055 (2015).
  6. L. Bogani and W. Wernsdorfer, Molecular spintronics using single-molecule magnets, Nat. Mater. 7, 179 (2008).
  7. J. M. Zadrozny, D. J. Xiao, M. Atanasov, G. J. Long, F. Grandjean, F. Neese, and J. R. Long, Magnetic blocking in a linear iron(I) complex, Nat. Chem. 5, 577 (2013).
  8. A. A. Khajetoorians, J. Wiebe, B. Chilian, S. Lounis, S. Blügel, and R. Wiesendanger, Atom-by-atom engineering and magnetometry of tailored nanomagnets, Nat. Phys. 8, 497 (2012).
  9. I. G. Rau, S. Baumann, S. Rusponi, F. Donati, S. Stepanow, L. Gragnaiello, J. Dreiser, C. Piamonteze, F. Nolting, S. Gangopadhyay, O. R. Albertini, R. M. Macfarlane, C. P. Lutz, B. A. Jones, P. Gambardella, A. J. Heinrich, and H. Brune, Reaching the magnetic anisotropy limit of a 3d metal atom, Science 344, 988 (2014).
  10. N. Ishikawa, M. Sugita, T. Ishikawa, S. Koshihara, and Y. Kaizu, Lanthanide double-decker complexes functioning as magnets at the single-molecular level, J. Am. Chem. Soc. 125, 8694 (2003).
  11. L. Ungur, J. J. L. Roy, I. Korobkov, M. Murugesu, and L. F. Chibotaru, Fine-tuning the local symmetry to attain record blocking temperature and magnetic remanence in a single-ion magnet, Angew. Chem. Int. Ed. 53, 4413 (2014).
  12. D. Gatteschi, A. L. Barra, A. Caneschi, A. Cornia, R. Sessoli, and L. Sorace, EPR of molecular nanomagnets, Coord. Chem. Rev. 250, 1514 (2006).
  13. A. Cornia, M. Affronte, A. G. M. Jansen, G. L. Abbati, and D. Gatteschi, Tuning of magnetic anisotropy in hexairon(III) rings by host - guest interactions: An investigation by high-field torque magnetometry, Angew. Chem. Int. Ed. 38, 2264 (1999).
  14. O. Waldmann, R. Koch, S. Schromm, J. Schülein, P. Müller, I. Bernt, R. W. Saalfrank, F. Hampel, and E. Balthes, Magnetic anisotropy of a cyclic octanuclear Fe(III) cluster and magneto-structural correlations in molecular ferric wheels, Inorg. Chem. 40, 2986 (2001).
  15. J. van Slageren, R. Sessoli, D. Gatteschi, A. A. Smith, M. Helliwell, R. E. P. Winpenny, A. Cornia, A. Barra, A. G. M. Jansen, E. Rentschler, and G. A. Timco, Magnetic anisotropy of the antiferromagnetic ring [Cr8F8Piv16], Chem. Eur. J. 8, 277 (2002).
  16. A. Cornia, A. G. M. Jansen, and M. Affronte, Magnetic anisotropy of Fe6 and Fe10 molecular rings by cantilever torque magnetometry in high magnetic fields, Phys. Rev. B 60, 12177 (1999).
  17. O. Waldmann, L. Zhao, and L. K. Thompson, Field-Dependent Anisotropy Change in a Supramolecular Mn(II)-[3×3] Grid, Phys. Rev. Lett. 88, 066401 (2002).
  18. O. Waldmann, A criterion for the anisotropy barrier in single-molecule magnets, Inorg. Chem. 46, 10035 (2007).
  19. E. Kampert, F. F. B. J. Janssen, D. W. Boukhvalov, J. C. Russcher, J. M. M. Smits, R. de Gelder, B. de Bruin, P. C. M. Christianen, U. Zeitler, M. I. Katsnelson, J. C. Maan, and A. E. Rowan, Ligand-controlled magnetic interactions in Mn4 clusters, Inorg. Chem. 48, 11903 (2009).
  20. L. C. J. M. Peters, H. Engelkamp, U. Zeitler, P. C. M. Christianen, P. T. Tinnemans, J.-K. Maan, and A. E. Rowan, Synthesis and magnetic properties of two-step-coordination Schiff base clusters, Eur. J. Inorg. Chem 2021, 2611 (2021).
  21. R. Maurice, C. de Graaf, and N. Guihéry, Magnetic anisotropy in binuclear complexes in the weak-exchange limit: From the multispin to the giant-spin Hamiltonian, Phys. Rev. B 81, 214427 (2010).
  22. E. Kampert, Magnetic properties of organometallic compounds in high magnetic fields, Ph.D. thesis, Radboud University, Nijmegen (2012), available at https://repository.ubn.ru.nl/bitstream/handle/2066/92730/92730.pdf.
  23. O. Waldmann, Field-induced level crossings in spin clusters: Thermodynamics and magnetoelastic instability, Phys. Rev. B 75, 174440 (2007).
  24. Y. Shapira, Magnetization steps in dilute magnetic semiconductors (invited), J. Appl. Phys. 67, 5090 (1990).
  25. Y. Shapira and V. Bindilatti, Magnetization-step studies of antiferromagnetic clusters and single ions: Exchange, anisotropy, and statistics, J. Appl. Phys. 92, 4155 (2002).
  26. Y. Inagaki, T. Asano, Y. Ajiro, Y. Narumi, K. Kindo, A. Cornia, and D. Gatteschi, High field magnetization process in a dodecanuclear Fe(III) ring cluster, J. Phys. Soc. Jpn. 72, 1178 (2003).
  27. S. Datta, O. Waldmann, A. D. Kent, V. A. Milway, L. K. Thompson, and S. Hill, Direct observation of mixing of spin multiplets in an antiferromagnetic molecular nanomagnet by electron paramagnetic resonance, Phys. Rev. B 76, 052407 (2007).
  28. E. Liviotti, S. Carretta, and G. Amoretti, S-mixing contributions to the high-order anisotropy terms in the effective spin Hamiltonian for magnetic clusters, J. Chem. Phys. 117, 3361 (2002).
  29. S. Carretta, E. Liviotti, N. Magnani, and G. Amoretti, Effective spin Hamiltonian for magnetic clusters in presence of S mixing, J. Appl. Phys. 93, 7822 (2003).
  30. S. Carretta, P. Santini, G. Amoretti, M. Affronte, A. Ghirri, I. Sheikin, S. Piligkos, G. Timco, and R. E. P. Winpenny, Topology and spin dynamics in magnetic molecules, Phys. Rev. B 72, 060403(R) (2005).
  31. O. Waldmann, S. Carretta, P. Santini, R. Koch, A. G. M. Jansen, G. Amoretti, R. Caciuffo, L. Zhao, and L. K. Thompson, Quantum Magneto-Oscillations in a Supramolecular Mn(II)-[3×3] Grid, Phys. Rev. Lett. 92, 096403 (2004).
  32. As mentioned above, the individual (S,MS) levels consist of several spin combinations from the four Mn atoms, though such an additional fine structure is not resolved experimentally in additional magnetization steps. Therefore, here and in the following we only access the anisotropy of all states associated to a specified (S,MS).

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Phys. Rev. Research 3, L042042– Published 16 December, 2021
  • Received 19 August 2021
  • Accepted 27 October 2021
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