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Influence of the Dzyaloshinskii-Moriya Exchange Interaction on Quantum Phase Interference of Spins

W. Wernsdorfer, T. C. Stamatatos, and G. Christou
Phys. Rev. Lett. 101, 237204 – Published 5 December 2008
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  • ACKNOWLEDGEMENTS
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    Abstract

    Magnetization measurements of a Mn12mda wheel single-molecule magnet with a spin ground state of S=7 show resonant tunneling and quantum phase interference, which are established by studying the tunnel rates as a function of a transverse field applied along the hard magnetization axis. A Dzyaloshinskii-Moriya (DM) exchange interaction allows the tunneling between different spin multiplets. It is shown that the quantum phase interference of these transitions is strongly dependent on the direction of the DM vector.

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    • Received 14 July 2008

    DOI:https://doi.org/10.1103/PhysRevLett.101.237204

    ©2008 American Physical Society

    Authors & Affiliations

    W. Wernsdorfer1, T. C. Stamatatos2, and G. Christou2

    • 1Institut Néel, CNRS and Université J. Fourier, BP 166, 38042 Grenoble Cedex 9, France
    • 2Department of Chemistry, University of Florida, Gainesville, Florida 32611-7200, USA

    Comments & Replies

    Comment on “Influence of the Dzyaloshinskii-Moriya Exchange Interaction on Quantum Phase Interference of Spins”

    E. del Barco, S. Hill, and D. N. Hendrickson
    Phys. Rev. Lett. 103, 059701 (2009)

    Wernsdorfer, Stamatatos, and Christou Reply:

    W. Wernsdorfer, T. C. Stamatatos, and G. Christou
    Phys. Rev. Lett. 103, 059702 (2009)

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    Vol. 101, Iss. 23 — 5 December 2008

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    • Figure 1
      Figure 1
      (a) Hysteresis loops of single crystals of Mn12mda wheels at different temperatures and a constant field sweep rate of 8  mT/s. (b) Minor hysteresis loops at 0.04 K. The magnetization was first saturated at 1 T. After ramping the field to zero at 0.14  T/s, the field was swept 3 times back and forth (between ±0.07  T) over the zero-field resonance k=0 with a sweep rate of 0.28  T/s. Then, the field is quickly swept back to 1 T at the indicated field sweep rates leading to resonant tunneling at the transitions k=1S, 1A, and 2. The corresponding field values are used to find the spin Hamiltonian parameters D and J.Reuse & Permissions
    • Figure 2
      Figure 2
      Zeeman diagram of the lowest energy levels used to explain the observed resonance tunnel transitions in Fig. 1. The field Hz is along the easy axis of magnetization. The levels are labeled with quantum numbers |S,MS⟩ and the observed level crossings are indicated with k.Reuse & Permissions
    • Figure 3
      Figure 3
      Transverse field Htr dependence of the tunnel splitting (a)–(b) and the tunnel probability (c)–(e) for the indicated tunnel transitions. Htr was corrected by a mean internal transverse field of about 10 mT, which was determined by measurements performed at positive and negative magnetization of the crystal.Reuse & Permissions
    • Figure 4
      Figure 4
      Calculated tunnel splitting for the indicated tunnel transitions k as a function of transverse field. θDM is indicated in (c)–(e) showing that the phases of the oscillations depend strongly on θDM. The best agreement with the data in Figs. 3c, 3d, 3e is achieved for θDM=10°.Reuse & Permissions
    • Figure 5
      Figure 5
      Color-scale representation of the calculated tunnel splitting for the tunnel transitions k=1A as a function of transverse field Hz and the angle θDM of the DM vector D→1,2.Reuse & Permissions
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