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Muon diffusion in metals

  • Muon Diffusion
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Abstract

The hopping rate W of the positive muon in metals is studied theoretecally. We consider four interactions: muon-electron interaction, linear as well as quadratic muon-lattice interactions and inhomogeneous broadening of the muon levels due to imperfections. The W-vs-T curve consists of four regions. The highest-T region, where the small polaron theory is applicable, is followed by a minimum, below which the Kagan-Klinger damping may be dominant. Then, the damping due to metallic electrons dominates and the hopping rate obeys a power law of a negative power. When kT is smaller than the inhomogeneous broadening, the hopping rate obeys another power law of a positive power, as Sugimoto has shown. We analyze experimental data on muon diffusion in Cu, Al and Fe.

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  1. Electrotechnical Laboratory, Tsukuba Research Center, Ibarakiken, Japan

    J. Kondo

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Kondo, J. Muon diffusion in metals. Hyperfine Interact 31, 117–133 (1986). https://doi.org/10.1007/BF02401549

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