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Tunneling of hydrogen in metals

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Festkörperprobleme 30

Part of the book series: Advances in Solid State Physics ((ASSP,volume 30))

Abstract

Light particles in metals are studied for low temperatures where the nonadiabatic coupling to conduction electrons strongly affects the tunneling between adjacent interstitial sites. Special attention is given to two-level systems formed by trapped hydrogen in niobium. The basic principles governing the tunneling dynamics of such systems are explained and they are applied to determine the dynamic structure factor. The theoretical findings are compared with neutron spectroscopic measurements. These experiments demonstrate a transition from low-temperature coherent tunneling with a well-defined tunneling frequency to hopping with an incoherent tunneling rate at elevated temperatures. The agreement between theory and experiment over a large range of temperature shows the dominant effect of conduction electrons on the motion of light interstitials in metals at low temperatures.

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References

  1. J.L. Wang, G. Weiss, H. Wipf, and A. Magerl, in: Springer Series in Solid State Sciences, Vol. 51, ed. by W. Eisenmenger, K. Laßmann, and S. Döttinger (Springer, Berlin 1984), p. 401

    Google Scholar 

  2. J. Kondo, Physica 125 B, 279 (1984), and 126 B, 377 (1984)

    Google Scholar 

  3. C.P. Flynn and A.M. Stoneham, Phys. Rev. B 1, 3966 (1970)

    Article  ADS  Google Scholar 

  4. Yu. Kagan and M.I. Klinger, J. Phys. C 7, 2791 (1974)

    Article  ADS  Google Scholar 

  5. H. Teichler and A. Seeger, Phys. Lett. A 82, 91 (1981)

    Article  ADS  Google Scholar 

  6. J. Yamashita and T. Kurosawa, J. Phys. Chem. Sol. 5, 34 (1958)

    Article  ADS  Google Scholar 

  7. T. Holstein, Ann. Phys. (NY) 8, 325, 343 (1959)

    Article  ADS  Google Scholar 

  8. K. Huang and A. Rys, Proc. Roy. Soc. (London) A 204, 406 (1951)

    Article  ADS  Google Scholar 

  9. S. Pekar, Zh. Eksp. Theor. Fiz. 20, 510 (1950)

    Google Scholar 

  10. H.R. Schober and A.M. Stoneham, Phys. Rev. Lett. 60, 2307 (1988)

    Article  ADS  Google Scholar 

  11. J. Völkl and G. Alefeld in: Topics in Applied Physics, Vol. 28, ed. by, G. Alefeld and J. Völkl (Springer, Berlin 1978), p. 321

    Google Scholar 

  12. Y. Fukai and H. Sugimoto, Adv. Phys. 34, 263 (1985)

    Article  ADS  Google Scholar 

  13. P.W. Anderson, Phys. Rev. Lett. 18, 1049 (1967)

    Article  ADS  Google Scholar 

  14. J. Kondo, Physica 84B, 40 (1976)

    Google Scholar 

  15. K. Yamada, Prog. Theor. Phys. 72, 195 (1984)

    Article  ADS  Google Scholar 

  16. O. Hartmann, E. Karlsson, L.O. Norlin, T.O. Niinikoski, K.W. Kehr, D. Richter, J.-M. Welter, A. Yaouanc, and J. Le Hericy, Phys. Rev. Lett. 44, 337 (1980)

    Article  ADS  Google Scholar 

  17. K.W. Kehr, D. Richter, J.-M. Welter, O. Hartmann, E. Karlsson, L.O. Norlin, T.O. Niinikoski, and A. Yaouanc, Phys. Rev. B 26, 567 (1982)

    Article  ADS  Google Scholar 

  18. P.W. Anderson, B.I. Halperin, and C.M. Varma, Phil. Mag. 25, 1 (1972)

    Article  MATH  ADS  Google Scholar 

  19. W.A. Phillips, J. Low Temp. Phys. 7, 351 (1972)

    Article  ADS  Google Scholar 

  20. B. Golding, J.E. Graebner, A.B. Kane, and J.L. Black, Phys. Rev. Lett. 41, 1487 (1978)

    Article  ADS  Google Scholar 

  21. J.L. Black and P. Fulde, Phys. Rev. Lett. 43, 453 (1979)

    Article  ADS  Google Scholar 

  22. G. Weiss, W. Arnold, K. Dransfeld, and H.J. Güntherodt, Solid State Comm. 33, 111 (1980)

    Article  ADS  Google Scholar 

  23. C.J. Sellers, A.C. Anderson, and H.K. Birnbaum, Phys. Rev. B 10, 2771 (1974)

    Article  ADS  Google Scholar 

  24. C. Morkel, H. Wipf, and K. Neumaier, Phys. Rev. Lett. 40, 947 (1978)

    Article  ADS  Google Scholar 

  25. D.B. Poker, G.G. Setser, A.V. Granato, and H.K. Birnbaum, Z. Phys. Chem. N. F. 116, 439 (1979)

    Google Scholar 

  26. H. Wipf, A. Magerl, S.M. Shapiro, S.K. Satija, and W. Thomlinson, Phys. Rev. Lett. 14, 947 (1981)

    Article  ADS  Google Scholar 

  27. K. Neumaier, H. Wipf, G. Cannelli, and R. Cantelli, Phys. Rev. Lett. 49, 1423 (1982)

    Article  ADS  Google Scholar 

  28. G. Bellessa, J. Phys. (Paris) 44, L–387 (1983)

    Google Scholar 

  29. D.B. Poker, G.G. Setser, A.V. Granato, and H.K. Birnbaum, Phys. Rev. B 29, 622 (1984)

    Article  ADS  Google Scholar 

  30. H. Wipf and K. Neumaier, Phys. Rev. Lett. 52, 1308 (1984)

    Article  ADS  Google Scholar 

  31. K.F. Huang, A.V. Granato, and H.K. Birnbaum, Phys. Rev. B 32, 2178 (1985)

    Article  ADS  Google Scholar 

  32. E. Drescher-Krasicka and A.V. Granato, J. Phys. (Paris) 12, C10–73 (1985)

    Google Scholar 

  33. A. Magerl, A.J. Dianoux, H. Wipf, K. Neumaier, and I.S. Anderson, Phys. Rev. Lett. 56, 159 (1986)

    Article  ADS  Google Scholar 

  34. C.C. Baker and H.K. Birnbaum, Acta Met. 21, 865 (1973)

    Article  Google Scholar 

  35. G. Pfeiffer and H. Wipf, J. Phys. F: Metal Phys. 6, 167 (1976)

    Article  ADS  Google Scholar 

  36. A. Magerl, J.J. Rush, J.M. Rowe, D. Richter, and H. Wipf, Phys. Rev. B 27, 927 (1983)

    Article  ADS  Google Scholar 

  37. H. Grabert, S. Linkwitz, S. Dattagupta, and U. Weiss, Europhys. Lett. 2, 631 (1986)

    Article  ADS  Google Scholar 

  38. H. Grabert, in: Quantum Aspects of Molecular Motions in Solids, ed. by A. Heidemann et al. (Springer, Berlin 1987), p. 130

    Google Scholar 

  39. H. Wipf, D. Steinbinder, K. Neumaier, P. Gutsmiedl, A. Magerl, and A.-J. Dianoux, Europhys. Lett. 4, 1379 (1987)

    Article  ADS  Google Scholar 

  40. D. Steinbinder, H. Wipf, A. Magerl, D. Richter, A.-J. Dianoux, and K. Neumaier, Europhys. Lett. 6, 535 (1988)

    Article  ADS  Google Scholar 

  41. J. Kondo, in: Fermi Surface Effects, Springer Ser. Solid State Sci., Vol. 77, ed. by J. Kondo, and A. Yoshimiro (Springer, Heidelberg 1988), p. 1, and references therein

    Google Scholar 

  42. D. Richter, Springer Tracts in Modern Physics, Vol. 101 (Springer, Heidelberg 1983)

    Google Scholar 

  43. S. Dattagupta, Relaxation Phenomena in Condensed Matter Physics (Academic Press, New York 1987)

    Google Scholar 

  44. H. Grabert and U. Weiss, Phys. Rev. Lett. 54, 1605 (1985)

    Article  ADS  Google Scholar 

  45. A. Garg, Phys. Rev. B32, 4746 (1985)

    Article  ADS  Google Scholar 

  46. H. Grabert, U. Weiss, and H.R. Schober, Hyperfine Interact. 31, 147 (1986)

    Article  ADS  Google Scholar 

  47. S. Dattagupta, H. Grabert, and R. Jung, J. Phys. C 1, 1405 (1989)

    Google Scholar 

  48. U. Weiss and M. Wollensak, Phys. Rev. Lett. 62, 1663 (1989)

    Article  ADS  Google Scholar 

  49. H. Teichler, in: quantum Aspects of Molecular Motions in Solids ed. by A. Heidemann et al. (Springer, Berlin 1987), p. 167

    Google Scholar 

  50. T. Schober and H. Wenzl, in: Topics in Applied Physics, Vol. 29, ed. by G. Alefeld and J. Völkl (Springer, Berlin 1978), p. 11

    Google Scholar 

  51. P.P. Matyash, N.A. Skakun, and N.P. Dikii, JEPT Lett. 19, 18 (1974)

    ADS  Google Scholar 

  52. N.A. Skakun, P.A. Svetashov, V.E. Storizhko, and A.G. Strashinskiį, Sov. Phys. Solid. State 26, 1919 (1984)

    Google Scholar 

  53. H. Teichler, J. Phys. F: Metal Phys. 16, 1399 (1986)

    Article  ADS  Google Scholar 

  54. J. Jäckle and K.W. Kehr, J. Phys. F: Metal Phys. 13, 753 (1983)

    Article  ADS  Google Scholar 

  55. K. Vládar, G.T. Zimányi, and A. Zawadowski, Phys. Rev. Lett. 56, 286 (1986)

    Article  ADS  Google Scholar 

  56. A. Muramatsu and F. Guinea, Phys. Rev. Lett. 57, 2337 (1986)

    Article  ADS  Google Scholar 

  57. P. Gutsmield, M. Schiekhofer, K. Neumaier, and H. Wipf, Proc. in Physics (Springer), 17, 158 (1975)

    Google Scholar 

  58. K. Neumaier, D. Steinbinder, H. Wipf, H. Blank, and G. Kearley, Z. Phys. B 76, 359 (1989)

    Article  ADS  Google Scholar 

  59. W. Morr, A. Müller, G. Weiss, H. Wipf, and B. Golding, Phys. Rev. Lett. 63, 2084 (1989)

    Article  ADS  Google Scholar 

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Ulrich Rössler

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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Grabert, H., Wipf, H. (1990). Tunneling of hydrogen in metals. In: Rössler, U. (eds) Festkörperprobleme 30. Advances in Solid State Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108279

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  • DOI: https://doi.org/10.1007/BFb0108279

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