Abstract
We investigate the dynamics of a ‘giant spin’ with 21 levels (S=10) in time dependent external magnetic field. The model can describe the time evolution of the spin degree of freedom in molecular nanomagnets, and our ‘exact numerical’ treatment of the problem reflects the staircase-like behavior of the experimentally observed magnetization curves. This effect is explained in terms of the level structure, which, at certain values of the external magnetic field, exhibits avoided crossings where the probability of the transitions increases. We show that the multilevel nature of the problem causes these transition probabilities to deviate significantly from the predictions of the traditional Landau-Zener-Stückelberg model.
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References
L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Nonrelativistic Theory, Pergamon Press, Oxford, 1965.
L.D. Landau, Phys. Z. Sowjetunion 2 (1932) 46.
C. Zener, Proc. Roy. Soc. London, Ser. A 137 (1932) 696.
E.C.G. Stückelberg, Helv. Phys. Acta 5 (1932) 369.
W.K. Lai, K.-A. Suominen, B.M. Garraway et al., Phys. Rev. A 47 (1993) 4779.
Z. Kis, J. Janszky, P. Adam et al., Phys. Rev. A 54 (1996) 5110.
B. Molnár, P. Földi, M.G. Benedict et al., Europhys. Lett. 61 (2003) 445.
D. Gatteschi, R. Sessoli and J. Villain, Molecular Nanomagnets, Oxford University Press, Oxford, 2006.
N.V. Prokof’ev and P.C.E. Stamp, Phys. Rev. Lett. 80 (1998) 5794.
L. Thomas, F. Lionti, R. Bailou et al., Nature (London) 383 (1996) 145.
J.R. Friedman, M.P. Sarachik, J. Tejada et al., Phys. Rev. Lett. 76 (1996) 3830.
K.M. Mertes, Y. Suzuki. M.P. Sarachik et al., Phys. Rev. Lett. 87 (2001) 227205.
W. Wernsdorfer, M. Murugesu and G. Christou, Phys. Rev. Lett. 96 (2006) 057208.
J. Tejada, E.M. Chudnovsky, J.M. Hernandez et al., Appl. Phys. Lett. 84 (2004) 2373.
J. Vanacken, S. Stroobants, M. Malfait et al., Phys. Rev. B 70 (2004) 220401. 270.
K. Petukhov, W. Wernsdorfer, A.-L. Barra et al., Phys. Rev. B 72 (2005) 052401.
W. Wernsdorfer, D. Mailly, G.A. Timco et al., Phys. Rev. B 72 (2005) 060409(R).
E.M. Chudnovsky and D.A. Garanin, Phys. Rev. Lett. 89 (2002) 157201.
V.K. Henner and I.V. Kaganov, Phys. Rev. B 68 (2003) 144420.
C.L. Joseph, C. Calero and E.M. Chudnovsky, Phys. Rev. B 70 (2004) 174416.
R.M. Dicke, Phys. Rev. 93 (1954) 439.
M.G. Benedict, A.M. Ermolaev, V.A. Malyshev et al., Superradiance, IOP, Bristol, 1996.
M.G. Benedict, P. Fölcii and F.M. Peeters, Phys. Rev. B 72 (2005) 214430.
Y. Suzuki, M.P. Sarachik, E.M. Chudnovsky et al., Phys. Rev. Lett. 95 (2005) 147201.
A. Hernández-Mínguez, J.M. Hernandez, F. Macia et al., Phys. Rev. Lett. 95 (2005) 217205.
M.N. Leuenberger and D. Loss, Nature (London) 410 (2001) 789.
I. Mirebeau, M. Hennion, H. Casalta et al., Phys. Rev. Lett. 83 (1999) 628.
A.L. Barra, D. Gatteschi and R. Sessoli, Phys. Rev. B 56 (1997) 8192.
S. Hill, J.A.A.J. Perenboom, N.S. Dalai et al., Phys. Rev. Lett. 80 (1998) 2453.
S. Hill, R.S. Edwards, S.I. Jones et al., Phys. Rev. Lett. 90 (2003) 217204.
W. Wernsdorfer, R. Sessoli, A. Caneschi et al., Europhys. Lett. 50 (2000) 552.
W. Wernsdorfer, S. Bhaduri, A. Vinslava et al., Phys. Rev. B 72 (2005) 214429.
P. Földi, M.G. Benedict, J.M. Pereira et al., submitted to Phys. Rev. B (2006) [cond-mat/0606763].
K. Mullen, E. Ben-Jacob, Y. Gefen et al., Phys. Rev. Lett. 62 (1989) 2543.
N.V. Vitanov, Phys. Rev. A 59 (1999) 988.
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Földi, P., Benedict, M.G. & Peeters, F.M. Multilevel spin dynamics in time-dependent external magnetic field. Acta Phys. Hung. B 26, 47–54 (2006). https://doi.org/10.1556/APH.26.2006.1-2.7
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DOI: https://doi.org/10.1556/APH.26.2006.1-2.7