Abstract
The thermal destruction of a tunneling state in a molecular crystal, which becomes observable in a neutron spectroscopic experiment say above 10 K, is generally attributed to interactions with phonons. If the tunnel system is in a metallic environment there is an additional relaxation path originating from the interaction with electrons. We have studied by inelastic neutron scattering the tunneling of a single proton in Nb(OH)x with x = 0.002 and x = 0.0002 from 0.1 to 10 K in both a superconducting and a normal conducting environment (applied magnetic field 0.7 T). These data show that the interaction of the H tunnel state with conduction electrons dominates the observed damping in this temperature range. In addition, different values for the tunnel splitting are found in the superconducting state (Js = 226 μeV) and in the normal conducting state (JN = 206 μeV). This renormalisation and the damping are described consistently by only one coupling parameter K = 0.053.
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See also W. Press: “Single-Particle Rotations in Molecular Crystals” in Springer Tracts Mod. Phys. 92 ( Springer, New York 1981 )
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The coupling strength is also given as a product of the electronic density of states at the Fermi level p with an appropriate matrix element V⊥ (see e.g. Refs. 2 and 9). Corresponding formula become identical for 2 K = (ρV⊥)2.
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Wipf, H., Steinbinder, D., Neumaier, K., Gutsmiedl, P., Magerl, A., Dianoux, A.J. (1987). The Influence of Electrons on the Tunneling State of a Hydrogen Atom in a Metal. In: Heidemann, A., Magerl, A., Richter, D., Prager, M., Springer, T. (eds) Quantum Aspects of Molecular Motions in Solids. Springer Proceedings in Physics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71914-1_26
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DOI: https://doi.org/10.1007/978-3-642-71914-1_26
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