HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 106 (2001) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 106 No. 3 (2001) pp. 533-549

[ Full Text PDF : FREE ACCESS (569K) ]

Quantum Tunneling in Half-Integer Spin Systems

Seiji Miyashita1,* and Naoto Nagaosa1,2,**

1 Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan
2 Correlated Electron Research Center (CERC), Tsukuba 305-0046, Japan

(Received June 26, 2001)

Abstract:

Motivated by the experimental observation of resonant tunneling in systems of half-integer spin, such as V15 and Mn4, we study the mechanism of the adiabatic change of the magnetization in systems with time-reversal symmetry. Although tunneling between the degenerate ground states is suppressed in a simple Kramers doublet, some types of perturbational interactions cause an avoided level crossing structure in the energy level structures when the system possesses additional degeneracy of the ground state. We show that a nonadiabatic transition governed by the Landau-Zener-Stückelberg mechanism occurs in many cases, and also find more general cases of adiabatic change of the magnetization in which LZS mechanism cannot be applied directly.


URL : http://ptp.ipap.jp/link?PTP/106/533/
DOI : 10.1143/PTP.106.533


*E-mail: miya@spin.t.u-tokyo.ac.jp
**E-mail: nagaosa@appi.t.u-tokyo.ac.jp

[ Full Text PDF : FREE ACCESS (569K) ] Citation:

References:

  1. L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli and B. Barbara, Nature 383 (1996), 145[CrossRef].
    F. Lionti, L. Thomas, R. Ballou, B. Barbara, A. Sulpice, R. Sessoli and D. Gatteschi, J. Appl. Phys. 81 (1997), 4608[CrossRef].
    J. M. Hernandez, X. X. Zhang, F. Luis, T. Tejada, J. R. Friedman, M. P. Sarachik and R. Ziolo, Phys. Rev. B 55 (1997), 5858[APS].
    J. A. A. J. Perenboom, J. S. Brooks, S. Hill, T. Hathaway and N. S. Dalal, Phys. Rev. B 58 (1998), 330[APS].
    B. Barbara, I. Chiorescu, R. Giraud, A. G. M. Jansen and A. Caneschi, J. Phys. Soc. Jpn. 69 (2000), Suppl. A 383.
  2. C. Sangregorio, T. Ohm, C. Paulsen, R. Sessoli and D. Gatteschi, Phys. Rev. Lett. 78 (1997), 4645[APS].
  3. W. Wernsdorfer and R. Sessoli, Science 284 (1999), 133[Science].
    W. Wernsdorfer et al., Phys. Rev. Lett. 82 (1999), 3903[APS].
    W. Wernsdorfer, R. Sessoli, A. Caneschi, D. Gatteschi and A. Cornia, J. Phys. Soc. Jpn. 69 (2000), Suppl. A 375.
  4. E. M. Chudnovsky and L. Gunter, Phys. Rev. Lett. 60 (1988), 661[APS]; Phys. Rev. B 37 (1988), 9455[APS].
  5. J. L. Van Hemmem and S. Söto, Europhys. Lett. 1 (1986), 481; Physica 141B (1986), 37.
  6. D. Loss, D. P. DiVincenco and G. Grinstein, Phys. Rev. Lett. 69 (1992), 3232[APS].
  7. A. Garg, Europhys. Lett. 22 (1993), 205.
  8. A. Müller and J. Döring, Angew. Chem. Int. Ed. Engl. 27 (1991), 1721.
    D. Gatteschi, L. Pardi, A. L. Barra, A. Müller and J. Döring, Nature 354 (1991), 465[CrossRef].
    W. Wernsdorfer, E. Bonet Orozco, K. Hasselbach, A. Benoit, D. Mailly, O. Kubo, H. Nakano and B. Barbara, Phys. Rev. Lett. 79 (1997), 4014[APS].
  9. I. Chiorescu, W. Wernsdorfer, A. Müller, H. Bögge and B. Barbara, Phys. Rev. Lett. 84 (2000), 3454[APS].
  10. D. N. Hendrickson et al., private communication.
    S. M. J. Aubin et al., J. Am. Chem. Soc. 120 (1998), 4997.
  11. L. Landau, Phys. Z. Sowjetunion 2 (1932), 46.
  12. C. Zener, Proc. R. Soc. London, Ser. A 137 (1932), 696.
  13. E. C. G. Stückelberg, Helv. Phys. Acta 5 (1932), 369.
  14. H. Nakamura: Dynamics of Molecules and Chemical Reactions (Marcel Dekker, 1996), p. 473.
  15. Y. Kayanuma, J. Phys. Soc. Jpn. 53 (1985), 108, [JPSJ]118; 54 (1985), 2037.
    Y. Kayanuma and H. Nakayama, Phys. Rev. B 57 (1998), 13099[APS].
  16. P. Ao and J. Rammer, Phys. Rev. Lett. 62 (1989), 3004[APS]; Phys. Rev. B 43 (1991), 5397[APS].
  17. S. Miyashita, J. Phys. Soc. Jpn. 64 (1995) 3207[JPSJ]; 65 (1996), 2734.
  18. H. De Raedt, S. Miyashita, K. Saito, D. García-Pablos and N. García, Phys. Rev. B 56 (1997), 11761[APS].
  19. K. Saito, S. Miyashita and H. De Raedt, Phys. Rev. B 60 (1999), 14553[APS].
  20. M. N. Leuenberger and D. Loss, Phys. Rev. B 61 (2000), 12200[APS].
  21. D. A. Granin and E. M. Chudnovsky, Phys. Rev. B 56 (1997), 11102[APS].
  22. S. Miyashita, K. Saito, H. Kobayashi and H. De Raedt, J. Phys. Soc. Jpn. 69 (2000), Suppl. A 395.
  23. V. N. Ostrovsky and H. Nakamura, J. of Phys. A 30 (1997), 6939[CrossRef].
    C. E. Carroll and F. T. Hioe, J. of Phys. A 19 (1986), 1151, [CrossRef]2061.
  24. Y. Kayanuma and S. Fukuchi, J. of Phys. B 18 (1985), 4089[CrossRef].
  25. H. Kobayashi, N. Hatano and S. Miyashita, Physica A 265 (1999), 565[CrossRef].
  26. S. Brundobler and V. Elser, J. of Phys. A 26 (1993), 1211[CrossRef].

Citing Article(s) :

  1. ERROR : Mag:43, Vol:126, Page:
  2. Journal of the Physical Society of Japan 78 (2009) 114709 (5 pages) :
    Inelastic Neutron Scattering Study on Anisotropic Exchange and Dzyaloshinsky–Moriya Interactions in the S = 1/2 Triangular Spin Cluster V3
    Kazuki Iida, Hirofumi Ishikawa, Toshihiro Yamase, and Taku J. Sato
  3. Journal of the Physical Society of Japan 74 (2005) Supplement pp. 107-110 :
    Temperature Dependence of ESR Intensity for the Nanoscale Molecular Magnet V15
    Manabu Machida, Toshiaki Iitaka and Seiji Miyashita
  4. Progress of Theoretical Physics Supplement No.145 (2002) pp. 357-369 :
    The V15 Molecule, a Multi-Spin Two-Level System: Adiabatic LZS Transition with or without Dissipation and Kramers Theorem
    Bernard Barbara, Irinel Chiorescu Wolfgang Wernsdorfer, Hartmut Bogge and Achim Muller
  5. Progress of Theoretical Physics Supplement No.145 (2002) pp. 370-379 :
    Quantum Dynamics and Dissipation Effects in the Resonant Tunneling of Molecular Magnets
    Seiji Miyashita, Keiji Saito, Hiroki Nakano and Masamichi Nishino
  6. Progress of Theoretical Physics Supplement No.159 (2005) pp. 292-296 :
    Effect of Spin Chirality on Magnetization in Triangular Rings
    Hiroyuki Nojiri, Eri Ishikawa and Toshiro Yamase
  7. Progress of Theoretical Physics Supplement No.159 (2005) pp. 302-307 :
    Detailed ESR Measurements for the Quantum Molecular Magnet V15 at Ultra-Low Temperatures
    Takuo Sakon, Keiichi Koyama, Mitsuhiro Motokawa, Achim Müller, Bernard Barbara and Yoshitami Ajiro

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.