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
  • Open Access

Understanding magnetic relaxation in single-ion magnets with high blocking temperature

A. Chiesa1,2, F. Cugini1, R. Hussain1,3, E. Macaluso1, G. Allodi1, E. Garlatti1,2, M. Giansiracusa4, C. A. P. Goodwin4, F. Ortu4 et al.

D. Reta4, J. M. Skelton4, T. Guidi5, P. Santini1,2, M. Solzi1, R. De Renzi1, D. P. Mills4,*, N. F. Chilton4,†, and S. Carretta1,2,‡

  • 1Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, I-43124 Parma, Italy
  • 2UdR Parma, INSTM, I-43124 Parma, Italy
  • 3Dipartimento di Fisica, Università di Pavia, Pavia, Italy
  • 4Department of Chemistry, The University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
  • 5ISIS Facility, Rutherford Appleton Laboratory, OX11 0QX Didcot, United Kingdom

  • *david.mills@manchester.ac.uk
  • †nicholas.chilton@manchester.ac.uk
  • ‡stefano.carretta@unipr.it

Phys. Rev. B 101, 174402 – Published 4 May, 2020

DOI: https://doi.org/10.1103/PhysRevB.101.174402

Abstract

The recent discovery of single-ion magnets with magnetic hysteresis above liquid-nitrogen temperatures placed these compounds among the best candidates to realize high-density storage devices. Starting from a prototypical dysprosocenium molecule, showing hysteresis up to 60 K, we derive here a general recipe to design high-blocking-temperature rare-earth single-ion magnets. The complex magnetic relaxation is unraveled by combining magnetization and nuclear magnetic resonance measurements with inelastic neutron scattering experiments and ab initio calculations, thus disentangling the different mechanisms and identifying the key ingredients behind slow relaxation.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (79)

  1. R. Sessoli, D. Gatteschi, A. Caneschi, and M. A. Novak, Nature (London) 365, 141 (1993).
  2. A. Chiesa, T. Guidi, S. Carretta, S. Ansbro, G. A. Timco, I. Vitorica-Yrezabal, E. Garlatti, G. Amoretti, R. E. P. Winpenny, and P. Santini, Phys. Rev. Lett. 119, 217202 (2017).
  3. S. T. Liddle and J. van Slageren, Chem. Soc. Rev. 44, 6655 (2015).
  4. J.-L. Liu, Y.-C. Chen, and M.-L. Tong, Chem. Soc. Rev. 47, 2431 (2018).
  5. A. Chiesa, F. Tacchino, M. Grossi, P. Santini, I. Tavernelli, D. Gerace, and S. Carretta, Nat. Phys. 15, 455 (2019).
  6. S. Thiele, F. Balestro, R. Ballou, S. Klyatskaya, M. Ruben, and W. Wernsodrfer, Science 344, 1135 (2014).
  7. A. Chiesa, P. Santini, D. Gerace, J. Raftery, A. A. Houck, and S. Carretta, Sci. Rep. 5, 16036 (2015).
  8. A. Chiesa, G. F. S. Whitehead, S. Carretta, L. Carthy, G. A. Timco, S. J. Teat, G. Amoretti, E. Pavarini, R. E. P. Winpenny, and P. Santini, Sci. Rep. 4, 7423 (2014).
  9. M. Shiddiq, D. Komijani, Y. Duan, A. Gaita-Ariño, E. Coronado, and S. Hill, Nature (London) 531, 348 (2016).
  10. J. Ferrando-Soria, E. Moreno-Pineda, A. Chiesa, A. Fernandez, S. A. Magee, S. Carretta, P. Santini, I. Victorica-Yrezabal, F. Tuna, E. J. L. McInness, and R. E. P. Winpenny, Nat. Commun. 7, 11377 (2016).
  11. J. Ferrando-Soria, S. A. Magee, A. Chiesa, S. Carretta, P. Santini, I. J. Vitorica-Yrezabal, F. Tuna, S. Sproules, K. M. Lancaster, A.-L. Barra, G. A. Timco, E. J. L. McInne, and R. E. P. Winpenny, Chem. 1, 727 (2016).
  12. R. Hussain, G. Allodi, A. Chiesa, E. Garlatti, D. Mitcov, A. Konstantatos, K. S. Pedersen, R. De Renzi, S. Piligkos, and S. Carretta, J. Am. Chem. Soc. 140, 9814 (2018).
  13. M. Atzori, A. Chiesa, E. Morra, M. Chiesa, L. Sorace, S. Carretta, and R. Sessoli, Chem. Sci. 9, 6183 (2018).
  14. A. Gaita-Ariño, F. Luis, S. Hill, and E. Coronado, Nat. Chem. 11, 301 (2019).
  15. Y. Furukawa, K. Kiuchi, K. Kumagai, Y. Ajiro, Y. Narumi, M. Iwaki, K. Kindo, A. Bianchi, S. Carretta, P. Santini, F. Borsa, G. A. Timco, and R. E. P. Winpenny, Phys. Rev. B 79, 134416 (2009).
  16. M. L. Baker, T. Lancaster, A. Chiesa, G. Amoretti, P. J. Baker, C. Barker, S. J. Blundell, S. Carretta, D. Collison, H. U. Gudel, T. Guidi, E. J. L. McInnes, J. S. Möller, H. Mutka, J. Ollivier, F. L. Pratt, P. Santini, F. Tuna, P. L. W. Tregenna-Piggott, I. J. Vitorica-Yrezabal, G. A. Timco, and R. E. P. Winpenny, Chem. Eur. J. 22, 1779 (2016).
  17. R. J. Woolfson, G. A. Timco, A. Chiesa, I. Vitorica-Yrezabal, F. Tuna, T. Guidi, E. Pavarini, P. Santini, S. Carretta, and R. E. P. Winpenny, Angew. Chem., Int. Ed. 128, 9002 (2016).
  18. G. A. Craig and M. Murrie, Chem. Soc. Rev. 44, 2135 (2015).
  19. J. M. Frost, K. L. M. Harriman, and M. Murugesu, Chem. Sci. 7, 2470 (2016).
  20. P. C. Bunting, M. Atanasov, E. Damgaard-Møller, M. Perfetti, I. Crassee, M. Orlita, J. Overgaard, J. van Slageren, F. Neese, and J. R. Long, Science 362, 1378 (2018).
  21. D. N. Woodruff, R. E. P. Winpenny, and R. A. Layfield, Chem. Rev. 113, 5110 (2013).
  22. S. Gómez-Coca, D. Aravena, R. Morales, and E. Ruiz, Coord. Chem. Rev. 289–290, 379 (2015).
  23. R. J. Blagg, L. Ungur, F. Tuna, J. Speak, P. Comar, D. Collison, W. Wernsdorfer. E. J. L. McInnes, L. Chibotaru, and R. E. P. Winpenny, Nat. Chem. 5, 673 (2013).
  24. S. Demir, M. I. Gonzales, L. E. Darago, W. J. Evans, and J. R. Long, Nat. Commun. 8, 2144 (2017).
  25. N. F. Chilton, C. A. P. Goodwin, D. P. Mills, and R. E. P. Winpenny, Chem. Commun. 51, 101 (2015).
  26. F. Pointillart, K. Bernot, S. Golhen, B. Le Guennic, T. Guizouarn, L. Ouahab, and O. Cador, Angew. Chem., Int. Ed. 54, 1504 (2015).
  27. Y.-S. Ding, N. F. Chilton, R. E. P. Winpenny, and Y.-Z. Zheng, Angew. Chem., Int. Ed. 55, 16071 (2016).
  28. J. Liu, Y.-C. Chen, J.-L. Liu, V. Vieru, L. Ungur, J.-H. Jia, L. F. Chibotaru, Y. Lan, W. Wernsdorfer, S. Gao, X.-M. Chen, and M.-L. Tong, J. Am. Chem. Soc. 138, 5441 (2016).
  29. Y.-C. Chen, J.-L. Liu, L. Ungur, J. Liu, Q.-W. Li, L.-F. Wang, Z.-P. Ni, L. F. Chibotaru, X.-M. Chen, and M.-L. Tong, J. Am. Chem. Soc. 138, 2829 (2016).
  30. S. K. Gupta, T. Rajeshkumar, G. Rajaraman, and R. Murugavel, Chem. Sci. 7, 5181 (2016).
  31. M. Gregson, N. F. Chilton, A.-M. Ariciu, F. Tuna, I. F. Crowe, W. Lewis, A. J. Blake, D. Collison, E. J. L. McInnes, R. E. P. Winpenny, and S. T. Liddle, Chem. Sci. 7, 155 (2016).
  32. C. A. P. Goodwin, F. Ortu, D. Reta, N. F. Chilton, and D. P. Mills, Nature (London) 548, 439 (2017).
  33. F.-S. Guo, B. M. Day, Y.-C. Chen, M.-L. Tong, A. Mansikkamäki, and R. A. Layfield, Science 362, 1400 (2018).
  34. K. R. McClain, C. A. Gould, K. Chakarawet, S. J. Teat, T. J. Groshens, J. R. Long, and B. G. Harvey, Chem. Sci. 9, 8492 (2018).
  35. Y.-S. Ding, K.-X. Yu, D. Reta, F. Ortu, R. E. P. Winpenny, Y.-Z. Zheng, and N. F. Chilton, Nat. Commun. 9, 3134 (2018).
  36. M. J. Giansiracusa, A. K. Kostopoulos, D. Collison, R. E. P. Winpenny, and N. F. Chilton, Chem. Commun. 55, 7025 (2019).
  37. A. Abragam and B. Bleaney, Electron Paramagnetic Resonance of Transition Metal Ions (Clarendon, Oxford, 1970).
  38. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.101.174402 for details on synthesis, the model of magnetoelastic interaction, Raman integrals, INS, magnetization and NMR experiments, ab initio calculation of the phonon DOS, the Brons–van Vleck contribution to Raman relaxation, hyperfine coupling, low-temperature quantum tunneling, and hysteresis loops, which includes Refs. [72, 73, 74, 75, 76, 77, 78].
  39. L. T. A. Ho and L. F. Chibotaru, Phys. Rev. B 97, 024427 (2018).
  40. M. N. Leuenberger and D. Loss, Phys. Rev. B 61, 1286 (2000).
  41. C. Calero, E. M. Chudnovsky, and D. A. Garanin, Phys. Rev. B 74, 094428 (2006).
  42. P. Thalmeier and B. Lüthi, Handbook on the Physics and Chemistry of Rare Earths, edited by K. A. Gschneider, Jr., and L. Eyring (Elsevier Science Publisher B. V. 1991), Vol. 14.
  43. K. N. Shrivastava, Phys. Status Solidi B 117, 437 (1983).
  44. The inclusion of a small dispersion for optical modes does not change the conclusions of the work.
  45. R. I. Bewley, R. S. Eccleston, K. A. McEwen, S. M. Hayden, M. T. Dove, S. M. Bennington, J. R. Treadgold, and R. L. S. Coleman, Physica B (Amsterdam, Neth.) 385–386, 1029 (2006).
  46. A. Lunghi and S. Sanvito, Sci. Adv. 5, eaax7163 (2019).
  47. A. Albino, S. Benci, L. Tesi, M. Atzori, R. Torre, S. Sanvito, R. Sessoli, and A. Lunghi, Inorg. Chem. 58, 10260 (2019).
  48. R. Orbach, Proc. R. Soc. London, Ser. A 264, 485 (1961).
  49. R. Orbach, Proc. R. Soc. London, Ser. A 264, 458 (1961).
  50. J. H. Van Vleck, Phys. Rev. 57, 426 (1940).
  51. We assume internal fields have a Gaussian distribution with standard deviation σB [38]; this behavior was recently observed in vanadyle molecular systems [79].
  52. D. C. Johnston, Phys. Rev. B 74, 184430 (2006).
  53. This value of σB is smaller than that obtained in the intermediate-temperature regime because of the very different initial conditions. Indeed, low-temperature magnetization decay experiments are carried on by first saturating the sample in a large field, while the relaxation rates reported in Fig.  3 were obtained at higher temperatures and starting from B=0. The corresponding distribution of internal fields is expected to be much broader in the latter case, compared to the former [60], in agreement with our findings.
  54. The variation of τ−1 with θ strongly depends on the axiality of the ground doublet and on the form of the magnetoelastic coupling with acoustic phonons.
  55. P. Santini, S. Carretta, E. Liviotti, G. Amoretti, P. Carretta, M. Filibian, A. Lascialfari, and E. Micotti, Phys. Rev. Lett. 94, 077203 (2005).
  56. Experiments were performed at thermal equilibrium; hence, we can consider the equilibrium value for the Curie susceptibility in the expression of 1/T1 (see Appendix pp4). Measurements performed below 20 K could deviate from thermal equilibrium and were thus excluded from our analysis.
  57. S. Gómez-Coca, A. Urtizberea, E. Cremades, P. J. Alonso, A. Camón, E. Ruiz, and F. Luis, Nat. Commun. 5, 4300 (2014).
  58. N. V. Prokof'ev and P. C. E. Stamp, Phys. Rev. Lett. 80, 5794 (1998).
  59. M. J. Martínez-Pérez, S. Cardona-Serra, C. Schlegel, F. Moro, P. J. Alonso, H. Prima-García, J. M. Clemente-Juan, M. Evangelisti, A. Gaita-Ariño, J. Sesé, J. van Slageren, E. Coronado, and F. Luis, Phys. Rev. Lett. 108, 247213 (2012).
  60. W. Wernsdorfer, T. Ohm, C. Sangregorio, R. Sessoli, D. Mailly, and C. Paulsen, Phys. Rev. Lett. 82, 3903 (1999).
  61. Here the internal transverse field (of the order of tens of milliteslas according to a rough estimation) is likely dominant in the low-field region in which tunneling is activated. Hence, we model the data with a Gaussian of constant amplitude Ω, accounting for an average tunnel splitting.
  62. W. Wernsdorfer, S. Bhaduri, C. Boskovic, G. Christou, and D. N. Hendrickson, Phys. Rev. B 65, 180403(R) (2002).
  63. Indeed, the Bose-Einstein population factor decreases strongly with ω, thus limiting the integral (3) to the low-frequency part. Furthermore, the assumption of nondispersive optical modes yields a factor 1/ω in the couplings with optical phonons as opposed to the ω term in the coupling with acoustic (Debye) phonons.
  64. G. A. Gehring and K. A. Gehring, Rep. Prog. Phys. 38, 1 (1975).
  65. V. Dohm and P. Fulde, Z. Phys. B 21, 369 (1975).
  66. A. Singh and K. N. Shrivastava, Phys. Status Solidi B 95, 273 (1979).
  67. C.-Y. Huang, Optical Phonons in Electron Spin Relaxation, Phys. Rev. 154, 215 (1967).
  68. S. Bertaina, B. Barbara, R. Giraud, B. Z. Malkin, M. V. Vanuynin, A. I. Pominov, A. L. Stolov, and A. M. Tkachuk, Phys. Rev. B 74, 184421 (2006).
  69. S. Carretta, P. Santini, G. Amoretti, M. Affronte, A. Candini, A. Ghirri, I. S. Tidmarsh, R. H. Laye, R. Shaw, and E. J. L. McInnes, Phys. Rev. Lett. 97, 207201 (2006).
  70. F. Adelnia, A. Chiesa, S. Bordignon, S. Carretta, A. Ghirri, A. Candini, C. Cervetti, M. Evangelisti, M. Affronte, I. Sheikin, R. Winpenny, G. Timco, F. Borsa, and A. Lascialfari, J. Chem. Phys. 143, 244321 (2015).
  71. Y. Furukawa, K. Watanabe, K. Kumagai, F. Borsa, T. Sasaki, N. Kobayashi, and D. Gatteschi, Phys. Rev. B 67, 064426 (2003).
  72. O. Arnold, J. C. Bilheux, J. M. Borreguero, A. Buts, S. I. Campbell, L. Chapon, M. Doucet, N. Draper, R. Ferraz Leal, M. A. Gigg, V. E. Lynch, A. Markvardsen, D. J. Mikkelson, R. L. Mikkelson, R. Miller, K. Palmen, P. Parker, G. Passos, T. G. Perring, P. F. Peterson, S. Ren, M. A. Reuter, A. T. Savici, J. W. Taylor, R. J. Taylor, R. Tolchenov, W. Zhou, and J. Zikovsky, Nucl. Instrum. Methods Phys. Res., Sect. A 764, 156 (2014).
  73. S. J. Clark, M. D. Segall, C. J. Pickard, P. J. Hasnip, M. J. Probert, K. Refson, and M. C. Payne, Zeitschrift für Kristallographie 220, 567 (2005).
  74. A. Togo and I. Tanaka, Scr. Mater. 108, 1 (2015).
  75. L. C. Hebel and C. P. Slichter, Phys. Rev. 113, 1504 (1959).
  76. G. Ablart and J. Pescia, Phys. Rev. B 22, 1150 (1980).
  77. A. Singh and R. C. Sapp, Phys. Rev. B 5, 1688 (1972).
  78. G. Allodi, A. Banderini, and R. De Renzi, Rev. Sci. Instrum. 76, 083911 (2005).
  79. M. Atzori, L. Tesi, E. Morra, M. Chiesa, L. Sorace, and R. Sessoli, J. Am. Chem. Soc. 138, 2154 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation