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Quantum diffusion of muons and muonium atoms in solids

Vyacheslav G. Storchak and Nikolai V. Prokof’ev

Vyacheslav G. Storchak

  • Rutherford Appleton Laboratory, Chilton, Oxfordshire OX11 OQX, United Kingdom;
  • TRIUMF, 4004 Westbrook Mall, Vancouver, British Columbia, Canada V6T 2A3;
  • Kurchatov Institute, Kurchatov Sq. 1, Moscow 123182, Russia

Nikolai V. Prokof’ev

  • Kurchatov Institute, Kurchatov Sq. 1, Moscow 123182, Russia

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Rev. Mod. Phys. 70, 929 – Published 1 July, 1998

DOI: https://doi.org/10.1103/RevModPhys.70.929

Abstract

The diffusion of muons and muonium through solids has been studied over many years using the technique of spin relaxation. At low temperatures, the motion is due to tunneling between lattice sites, and the competition between tunneling rates and decoherence rates is important in determining the dynamics. Coherent propagation is seen in superconductors and insulators at low temperature where dissipation is small. At higher temperatures the motion undergoes a crossover from bandlike propagation to incoherent hopping between neighboring sites. This review covers both theory and experiment, emphasizing the mechanisms for dissipation, the role of barrier fluctuations, and effects of crystal disorder on the transport. The review of experimental data includes an analysis of barrier penetration bandwidths for muon and muonium diffusion in a variety of metals and insulators.

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References (214)

  1. Abragam, A., 1961, The Principles of Nuclear Magnetism (Clarendon, Oxford).
  2. Allen, A. R., and M. G. Richards, 1978, Phys. Lett. A 65, 36.
  3. Allen, A. R., M. G. Richards, and J. Schratter, 1982, J. Low Temp. Phys. 47, 289.
  4. Anderson, P. W., 1967, Phys. Rev. Lett. 18, 1047.
  5. Anderson, P. W., Phys. Rev. 164, 342.
  6. Andreev, A. F., 1976, Usp. Fiz. Nauk 118, 251 [Sov. Phys. Usp. 19, 137].
  7. Andreev, A. F., and I. M. Lifshitz, 1969, Zh. Éksp. Teor. Fiz. 56, 2057 [Sov. Phys. JETP 29, 1107 (1969)].
  8. Bagatskii, M. I., V. A. Kucheryavy, V. G. Manzhelii, and V. A. Popov, 1968, Phys. Status Solidi 26, 453.
  9. Barsov, S. G., et al., 1983, Zh. Éksp. Teor. Fiz. 85, 341 [Sov. Phys. JETP 58, 198].
  10. Barsov, S. G., et al., 1984, Hyperfine Interact. 17-19, 145.
  11. Baumann, D., F. N. Gygax, E. Lippelt, A. Schenck, R. Schmid, and S. Barth, 1986a, Hyperfine Interact. 31, 53.
  12. Baumann, D., F. N. Gygax, E. Lippelt, A. Schenck, R. Schmid, and S. Barth, 1986b, Hyperfine Interact. 31, 455.
  13. Baumeler, H. P., et al., 1986, Hyperfine Interact. 32, 659.
  14. Beck, R., P. F. Meier, and A. Schenck, 1975, Z. Phys. B 22, 109.
  15. Bilz, H., and W. Kress, 1979, Phonon Dispersion Relations in Insulators (Springer, Berlin).
  16. Birnbaum, H. K., M. Camani, A. T. Fiory, F. N. Gygax, W. J. Kossler, W. Rüegg, A. Schenck, and H. Schilling, 1978, Phys. Rev. B 17, 4143.
  17. Black, J. L., and P. Fulde, 1979, Phys. Rev. Lett. 43, 453.
  18. Borghini, M., T. O. Niinikoski, J. C. Soulie, O. Hartmann, E. Karlsson, L. O. Norlin, K. Pernestal, K. W. Kehr, D. Richter, and E. Walker, 1978, Phys. Rev. Lett. 40, 1723.
  19. Brewer, J. H., 1994, “Muon Spin Rotation/Relaxation/Resonance,” in Encyclopedia of Applied Physics 11 (Mößbauer Effect to Nuclear Structure), p. 23.
  20. Brewer, J. H., et al., 1986, Hyperfine Interact. 31, 191.
  21. Brewer, J. H., R. F. Kiefl, and P. W. Percival, 1994, Eds., Proceedings of the 6th International Conference on Muon Spin Rotation/Relaxation/Resonance (μSR), Maui, Hawaii, 1993, Hyperfine Interact. 85-87, 3-122.
  22. Brewer, J. H., S. R. Kreitzman, K. M. Crowe, C. W. Clawson, and C. Y. Huang, 1987, Phys. Lett. A 120, 199.
  23. Brewer, J. H., and P. W. Percival, 1981, Eds., Proceedings of the Second International Topic Meeting on Muon Spin Rotation, Vancouver, Canada, 1980, Hyperfine Interact. 8, 307.
  24. Brown, J. A., et al., 1979, Hyperfine Interact. 6, 233.
  25. Brown, J. A., R. H. Heffner, M. Leon, M. E. Schillaci, D. W. Cooke, and W. B. Gauster, 1979, Phys. Rev. Lett. 43, 1513.
  26. Browne, A., and A. M. Stoneham, 1982, J. Phys. C 15, 2709.
  27. Caldeira, A. O., and A. J. Leggett, 1983, Ann. Phys. (N.Y.) 149, 374.
  28. Camani, M., F. N. Gygax, W. Rüegg, A. Schenck, and H. Schilling, 1977, Phys. Rev. Lett. 39, 836.
  29. Celio, M., 1986a, Phys. Rev. Lett. 56, 2720.
  30. Celio, M., 1986b, Hyperfine Interact. 31, 153.
  31. Celio, M., 1987, Helv. Phys. Acta 60, 600.
  32. Celio, M., and P. F. Meier, 1983, Phys. Rev. B 27, 1908.
  33. Chappert, J., A. Yaouanc, O. Hartmann, E. Karlsson, L.-O. Norlin, and T. O. Ninikoski, 1982, Solid State Commun. 44, 13.
  34. Clawson, C. W., K. M. Crowe, S. E. Kohn, S. S. Rosenblum, C. Y. Huang, J. L. Smith, and J. H. Brewer, 1982, Physica (Amsterdam) 109, 2164.
  35. Clawson, C. W., K. M. Crowe, S. S. Rosenblum, S. E. Kohn, C. Y. Huang, J. L. Smith, and J. H. Brewer, 1983, Phys. Rev. Lett. 51, 114.
  36. Cox, S. F. J., 1987, J. Phys. C 20, 3187.
  37. Cox, S. F. J., 1995, private communication.
  38. Cox, S. F. J., G. H. Eaton, D. Herlach, and V. P. Koptev, 1990, Eds., Proceedings of the 5th International Conference on Muon Spin Rotation, Relaxation, and Resonance, Oxford, UK, Hyperfine Interact. 64, 613–749.
  39. Cox, S. F. J., G. H. Eaton, and J. E. Magraw, 1990, Hyperfine Interact. 65, 773.
  40. Cox, S. F. J., R. M. Macrae, D. S. Sivia, N. Ayres de Campos, P. J. Mendes, and J. M. Gil, 1994, Hyperfine Interact. 85, 67.
  41. Dorenburg, K., M. Gladisch, D. Herlach, W. Mansel, H. Metz, H. Orth, G. zu Putlitz, A. Seeger, W. Wahl, and M. Wigand, 1978, Z. Phys. B 31, 165.
  42. DeReggi, A. S., P. C. Canepa, and T. A. Scott, 1969, J. Magn. Reson. 1, 144.
  43. Echt, O., H. Holzschuh, E. Recknagel, A. Weidinger, and Th. Wichert, 1978, Phys. Lett. A 67, 427.
  44. Emin, D., 1973, Adv. Phys. 22, 57.
  45. Emin, D., 1981, Hyperfine Interact. 8, 515.
  46. Emin, D., and T. Holstein, 1976, Phys. Rev. Lett. 36, 323.
  47. Fiory, A. T., K. G. Lynn, D. M. Parkin, W. J. Kossler, W. F. Lankford, and C. E. Stronach, 1978, Phys. Rev. Lett. 40, 968.
  48. Fisher, M. P. A., and A. T. Dorsey, 1985, Phys. Rev. Lett. 54, 1609.
  49. Flynn, C. P., and A. M. Stoneham, 1970, Phys. Rev. B 1, 3966.
  50. Foner, S. N., E. L. Cochran, V. A. Bowers, and C. K. Jen, 1960, J. Chem. Phys. 32, 963.
  51. Fujii, S., 1979, J. Phys. Soc. Jpn. 46, 1833 (Part I); 46, 1843 (Part II).
  52. Gauster, W. B., R. H. Heffner, C. Y. Huang, R. L. Hutson, M. Leon, D. M. Parkin, M. E. Schillaci, W. Triftahäuser, and W. R. Wampler, 1977, Solid State Commun. 24, 619.
  53. Grabert, H., 1987, in Quantum Aspects of Molecular Motions in Solids, Springer Proceedings in Physics, No. 17, edited by A. Heidemann et al. (Springer, Berlin), p. 130.
  54. Grabert, H., S. Linkwitz, S. Dattagupta, and U. Weiss, 1986, Europhys. Lett. 2, 631.
  55. Grabert, H., and U. Weiss, 1985, Phys. Rev. Lett. 54, 1605.
  56. Grebinnik, V. G., et al., 1977, Pis’ma Zh. Éksp. Teor. Fiz. 25, 322 [JETP Lett. 25, 298 (1977)].
  57. Grebinnik, V. G., et al., 1978, Pis’ma Zh. Éksp. Teor. Fiz. 75, 1989 [Sov. Phys. JETP 48, 1002 (1978)].
  58. Grebinnik, V. G., I. I. Gurevich, V. A. Zhukov, A. P. Manych, E. A. Muratova, B. A. Nikolskii, V. I. Selivanov, and V. A. Seutin, 1975, Zh. Éksp. Teor. Fiz. 68, 1548 [Sov. Phys. JETP 41, 777 (1976)].
  59. Gurevich, I. I., E. A. Meleshko, E. A. Muratova, B. A. Nikolskii, V. S. Roganov, V. I. Selivanov, and B. V. Sokolov, 1972, Phys. Lett. 40, 143.
  60. Guyer, R. A., and L. I. Zane, 1969, Phys. Rev. 188, 445.
  61. Gygax, F. N., A. Amato, R. Feyerherm, A. Schenck, I. S. Anderson, T. J. Udovic, and G. Solt, 1995, J. Alloys Compd. 231, 248.
  62. Gygax, F. N., A. Amato, A. Schenck, I. S. Anderson, J. J. Rush, and G. Solt, 1994, Hyperfine Interact. 85, 73.
  63. Gygax, F. N., B. Hitti, E. Lippelt, A. Schenck, and S. Barth, 1988, Z. Phys. B 71, 473.
  64. Gygax, F. N., W. Kundig, and P. F. Meier, 1979, Eds., Proceedings of the First International Topical Meeting on Muon Spin Rotation, Rorschach, Switzerland, 1978, Hyperfine Interact. 6, 1-450.
  65. Gygax, F. N., A. Schenck, and A. J. van der Wal, 1986, Phys. Rev. Lett. 26, 2842.
  66. Hartmann, O., 1977, Phys. Rev. Lett. 39, 832.
  67. Hartmann, O., E. Karlsson, S. Harris, R. Wäppling, and T. O. Niinikoski, 1989, Phys. Lett. A 142, 504.
  68. Hartmann, O., E. Karlsson, B. Lindgren, and R. Wäppling, 1986, Eds., Proceedings of the 4th International Conference on Muon Spin Rotation, Relaxation and Resonance, Uppsala, Sweden, 1986, Hyperfine Interact. 31-32, 3-948.
  69. Hartmann, O., E. Karlsson, L. O. Norlin, T. O. Niinikoski, K. W. Kehr, D. Richter, J.-M. Welter, A. Yaouanc, and J. Le Hericy, 1980, Phys. Rev. Lett. 44, 337.
  70. Hartmann, O., E. Karlsson, L. O. Norlin, D. Richter, and T. O. Niinikoski, 1978, Phys. Rev. Lett. 41, 1055.
  71. Hartmann, O., E. Karlsson, K. Pernestal, M. Borghini, T. O. Niinikoski, and L. O. Norlin, 1977, Phys. Lett. A 61, 141.
  72. Hartmann, O., E. Karlsson, E. Wäckelgard, R. Wäppling, D. Richter, R. Hempelmann, and T. O. Niinikoski, 1986, Hyperfine Interact. 31, 223.
  73. Hartmann, O., E. Karlsson, E. Wäckelgard, R. Wäppling, D. Richter, R. Hempelmann, and T. O. Niinikoski, 1988, Phys. Rev. B 37, 4425.
  74. Hartmann, O., E. Karlsson, R. Wäppling, D. Richter, R. Hempelmann, K. Schulze, B. Patterson, E. Holzschuh, W. Kündig, and S. F. J. Cox, 1983, Phys. Rev. B 27, 1943.
  75. Hartmann, O., E. Karlsson, R. Wäppling, D. Richter, R. Hempelmann, K. Schulze, B. Patterson, E. Holzschuh, W. Kündig, and S. F. J. Cox, 1984, Hyperfine Interact. 17, 183.
  76. Hayano, R. S., Y. J. Uemura, J. Imazato, N. Nishida, T. Yamazaki, and R. Kubo, 1979, Phys. Rev. B 20, 850.
  77. Heffner, R. H., J. A. Brown, R. L. Hutson, M. Leon, D. M. Parkin, M. E. Schillaci, W. B. Gauster, O. N. Carlson, D. K. Rehbein, and A. T. Fiory, 1979, Hyperfine Interact. 6, 237.
  78. Heffner, R. H., W. B. Gauster, D. M. Parker, C. Y. Huang, R. L. Hutson, M. Leon, M. E. Schillaci, M. L. Simmons, and W. Triftshauser, 1978, Hyperfine Interact. 4, 838.
  79. Holstein, T., 1959, Ann. Phys. (N.Y.) 8, 343.
  80. Holzschuh, E., and P. F. Meier, 1984, Phys. Rev. B 29, 1129.
  81. Ikeya, M., L. O. Schwan, and T. Miki, 1978, Solid State Commun. 27, 891.
  82. Ivanter, I. G., 1984, Fiz. Tverd. Tela (Leningrad) 26, 3658 [Sov. Phys. Solid State 26, 2200 (1984)].
  83. Jäckle, J., and K. W. Kehr, 1983, J. Phys. F 13, 753.
  84. Kadono, R., 1990, Hyperfine Interact. 64, 615.
  85. Kadono, R., 1992, in Perspectives in Meson Science, edited by T. Yamazaki, K. Nakai, and K. Nagamine (North-Holland, Amsterdam), p. 113.
  86. Kadono, R., 1993, Z. Phys. Chem. (Munich) 181, 195.
  87. Kadono, R., J. Imazato, T. Matsuzaki, K. Nishiyama, K. Nagamine, T. Yamazaki, D. Richter, and J.-M. Welter, 1989, Phys. Rev. B 39, 23.
  88. Kadono, R., J. Imazato, K. Nishiyama, K. Nagamine, T. Yamazaki, D. Richter, and J.-M. Welter, 1984, Hyperfine Interact. 17-19, 109.
  89. Kadono, R., J. Imazato, K. Nishiyama, K. Nagamine, T. Yamazaki, D. Richter, and J.-M. Welter, 1985, Phys. Lett. 109A, 61.
  90. Kadono, R., and R. F. Kiefl, 1991, Phys. Rev. Lett. 66, 2414.
  91. Kadono, R., and R. F. Kiefl, 1993, Defect Diffus. Forum 95-98, 279.
  92. Kadono, R., R. F. Kiefl, E. J. Ansaldo, J. H. Brewer, M. Celio, S. R. Kreitzman, and G. M. Luke, 1990, Phys. Rev. Lett. 64, 665.
  93. Kadono, R., R. F. Kiefl, J. H. Brewer, G. M. Luke, T. Pfiz, T. M. Riseman, and B. J. Sternlieb, 1990, Hyperfine Interact. 64, 635.
  94. Kadono, R., R. F. Kiefl, S. R. Kreitzman, Q. Li, T. Pfiz, T. M. Riseman, H. Zhou, R. Wäppling, S. W. Harris, O. Hartmann, E. Karlsson, R. Hempelmann, D. Richter, T. O. Niinikoski, L. P. Lee, G. M. Luke, B. Steinlieb, and E. J. Ansaldo, 1990, Hyperfine Interact. 64, 737.
  95. Kadono, R., R. F. Kiefl, W. A. MacFarlane, and S. R. Dunsiger, 1996, Phys. Rev. B 53, 3177.
  96. Kadono, R., T. Matsuzaki, K. Nagamine, T. Yamazaki, D. Richter, and J.-M. Welter, 1986, Hyperfine Interact. 31, 205.
  97. Kadono, R., K. Nishiyama, K. Nagamine, and T. Matsuzaki, 1988, Phys. Lett. A 132, 195.
  98. Kagan, Yu., and M. I. Klinger, 1974, Z. Phys. C 7, 2791.
  99. Kagan, Yu., and M. I. Klinger, 1976, Zh. Éksp. Teor. Fiz. 70, 255 [Sov. Phys. JETP 43, 132 (1976)].
  100. Kagan, Yu., and L. A. Maksimov, 1973, Zh. Éksp. Teor. Fiz. 65, 662 [Sov. Phys. JETP 38, 307 (1974)].
  101. Kagan, Yu., and L. A. Maksimov, 1980, Zh. Éksp. Teor. Fiz. 79, 1363 [Sov. Phys. JETP 52, 688 (1980)].
  102. Kagan, Yu., and L. A. Maksimov, 1983, Zh. Éksp. Teor. Fiz. 84, 792 [Sov. Phys. JETP 57, 459 (1983)].
  103. Kagan, Yu., and L. A. Maksimov, 1984, Zh. Éksp. Teor. Fiz. 87, 348 [Sov. Phys. JETP 60, 201 (1984)].
  104. Kagan, Yu., and N. V. Prokof’ev, 1986, Zh. Éksp. Teor. Fiz. 90, 2176 [Sov. Phys. JETP 63, 1276 (1986)].
  105. Kagan, Yu., and N. V. Prokof’ev, 1987, “Quantum diffusion and depolarization of μ+-mesons in metals,” I. V. Kurchatov Atomic Energy Institute Report No. IAE-4461/9.
  106. Kagan, Yu., and N. V. Prokof’ev, 1989a, Zh. Éksp. Teor. Fiz. 96, 1473 [Sov. Phys. JETP 69, 836 (1989)].
  107. Kagan, Yu., and N. V. Prokof’ev, 1989b, Zh. Éksp. Teor. Fiz. 96, 2209 [Sov. Phys. JETP 69, 1350 (1989)].
  108. Kagan, Yu., and N. V. Prokof’ev, 1990a, Phys. Lett. A 150, 320.
  109. Kagan, Yu., and N. V. Prokof’ev, 1990b, Zh. Éksp. Teor. Fiz. 97, 1698 [Sov. Phys. JETP 70, 990 (1990)].
  110. Kagan, Yu., and N. V. Prokof’ev, 1991, Phys. Lett. A 159, 289.
  111. Kagan, Yu., and N. V. Prokof’ev, 1992, in Quantum Tunneling in Condensed Media, edited by A. J. Leggett and Yu. M. Kagan (North-Holland, Amsterdam), p. 37.
  112. Karlsson, E., R. Wäppling, S. W. Lidström, O. Hartmann, R. Kadono, R. F. Kiefl, R. Hempelmann, and D. Richter, 1995, Phys. Rev. B 52, 6417.
  113. Katz, L., M. Guinan, and R. I. Borg, 1971, Phys. Rev. B 4, 330.
  114. Kehr, K. W., G. Honig, and D. Richter, 1978, Z. Phys. B 32, 49.
  115. Kehr, K. W., D. Richter, J.-M. Welter, O. Hartmann, E. Karlsson, L.O. Norlin, T. O. Niinikoski, and A. Yaouanc, 1982, Phys. Rev. B 26, 567.
  116. Kiefl, R. F., M. Celio, T. L. Estle, G. M. Luke, S. R. Kreitzman, J. H. Brewer, D. R. Noakes, E. J. Ansaldo, and K. Nishiyama, 1987, Phys. Rev. Lett. 58, 1780.
  117. Kiefl, R. F., E. Holzschuh, H. Keller, W. Kündig, P. F. Meier, B. D. Patterson, J. W. Schneider, K. W. Blazey, S. L. Rudaz, and A. B. Denison, 1984, Phys. Rev. Lett. 53, 90.
  118. Kiefl, R. F., R. Kadono, J. H. Brewer, G. M. Luke, H. K. Yen, M. Celio, and E. J. Ansaldo, 1989, Phys. Rev. Lett. 62, 792.
  119. Kiefl, R. F., W. Odermatt, Hp. Baumeler, J. Felber, H. Keller, W. Kündig, P. F. Meier, B. D. Patterson, J. W. Schneider, K. W. Blazey, T. L. Estle, and C. Schwab, 1986, Phys. Rev. B 34, 1474.
  120. Kiefl, R. F., J. W. Schneider, H. Keller, W. Kündig, W. Odermatt, B. D. Patterson, K. W. Blazey, T. L. Estle, and S. L. Rudaz, 1985, Phys. Rev. B 32, 530.
  121. Kiefl, R. F., J. B. Warren, G. M. Marshall, and C. J. Oram, 1981, J. Chem. Phys. 74, 308.
  122. Klamt, A., and H. Teichler, 1986, Phys. Status Solidi B 134, 103.
  123. Kondo, J., 1976, Physica B 84, 207.
  124. Kondo, J., 1984, Physica B & C 126, 377.
  125. Kondo, J., 1986, Hyperfine Interact. 31, 117.
  126. Kondo, J., 1992, in Perspectives in Meson Science, edited by T. Yamazaki, K. Nakai, and K. Nagamine (North-Holland, Amsterdam), p. 137.
  127. Kossler, W. J., A. T. Fiory, W. F. Lankford, J. Lindemuth, K. G. Lynn, S. Mahajan, R. P. Minnich, K. G. Petzinger, and C. E. Stronach, 1978, Phys. Rev. Lett. 41, 1558.
  128. Kubo, R., and T. Toyabe, 1967, in Magnetic Resonance and Relaxation, edited by R. Blink (North Holland, Amsterdam), p. 810.
  129. Landau, L. D., and E. M. Lifshitz, 1974, Quantum Mechanics. Non Relativistic Theory (Nauka, Moscow).
  130. Leggett, A. J., S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, 1987, Rev. Mod. Phys. 59, 1.
  131. Lifshitz, I. M., and Yu. M. Kagan, 1972, Zh. Éksp. Teor. Fiz. 62, 385 [Sov. Phys. JETP 35, 206 (1972)].
  132. Luke, G. M., J. H. Brewer, S. R. Kreitzman, D. R. Noakes, M. Celio, R. Kadono, and E. J. Ansaldo, 1990, Hyperfine Interact. 64, 721.
  133. Luke, G. M., J. H. Brewer, S. R. Kreitzman, D. R. Noakes, M. Celio, R. Kadono, and E. J. Ansalso, 1991, Phys. Rev. B 43, 3284.
  134. MacFarlane, W. A., R. F. Kiefl, J. W. Schneider, K. H. Chow, G. D. Morris, T. L. Estle, and B. Hitti, 1994, Hyperfine Interact. 85, 23.
  135. Mahajan, S., and S. Prakash, 1983, Phys. Status Solidi B 119, 381.
  136. Manzhelli, V. G., A. M. Tolkachev, and E. I. Boitovich, 1966, Phys. Status Solidi 13, 351.
  137. Matsumoto, T., Y. Sasaki, and M. Hihara, 1975, J. Phys. Chem. Solids 36, 215.
  138. McMullen, T., and E. Zaremba, 1978, Phys. Rev. B 18, 3026.
  139. Metz, H., et al., 1979, Hyperfine Interact. 6, 271.
  140. Mikheev, V. A., B. N. Eselson, V. N. Grigor’ev, and N. P. Mikhin, 1977, Fiz. Nizk. Temp. 3, 386 [Sov. J. Low Temp. Phys. 3, 186 (1977)].
  141. Mikheev, V. A., V. A. Maydanov, and N. P. Mikhin, 1983, Solid State Commun. 48, 361.
  142. Morosov, A. I., 1979, Zh. Éksp. Teor. Fiz. 77, 147 [Sov. Phys. JETP 50, 738 (1979)].
  143. Morozumi, Y., K. Nishiyama, and K. Nagamine, 1986, Phys. Lett. A 118, 93.
  144. Nagamine, K., R. M. MacRae, R. Kadono, and K. Nishiyama, 1997, Eds., Proceedings of the 7th International Conference on Muon Spin Rotation/Relaxation/Resonance (μSR’96), Nikko, Japan, 1996, Hyperfine Interact. 105, 189-284.
  145. Nakai, R., M. Doyama, R. Yamamoto, Y. J. Uemura, T. Yamazaki, and J. H. Brewer, 1981, Hyperfine Interact. 8, 717.
  146. Niinikoski, T. O., O. Hartmann, E. Karlsson, L.-O. Norlin, K. Pernestal, K. W. Kehr, D. Richter, E. Walker, and K. Schulze, 1979, Hyperfine Interact. 6, 229.
  147. Nishiyama, K., Y. Morozumi, T. Suzuki, and K. Nagamine, 1985, Phys. Lett. A 111, 369.
  148. Patterson, B. D., 1988, Rev. Mod. Phys. 60, 69.
  149. Petzinger, K. G., 1980, Phys. Lett. A 75, 225.
  150. Petzinger, K. G., 1981, Hyperfine Interact. 8, 639.
  151. Petzinger, K. G., 1982, Phys. Rev. B 26, 6530.
  152. Poole, Ch. P., 1967, Electron Spin Resonance: A Comprehensive Treatise on Experimental Technique (Interscience, New York).
  153. Prokof’ev, N. V., 1994, Hyperfine Interact. 85, 3.
  154. Prokof’ev, N. V., 1995, Phys. Rev. Lett. 74, 2748.
  155. Puska, M. J., and R. M. Nieminen, 1983, Phys. Rev. B 27, 6121.
  156. Regelmann, T., L. Schimmele, and A. Seeger, 1995, Philos. Mag. B 72, 209.
  157. Richter, D., 1986, Hyperfine Interact. 31, 169.
  158. Richter, D., and T. Springer, 1978, Phys. Rev. B 18, 126.
  159. Schaumann, G., J. Völkl, and G. Alefeld, 1970, Phys. Status Solidi 42, 401.
  160. Schenck, A., 1985, Muon Spin Rotation: Principles and Applications in Solid State Physics (Adam Hilger, Bristol/London).
  161. Schilling, H., M. Camani, F. N. Gygax, W. Rüegg, and A. Schenck, 1982, J. Phys. F 12, 875.
  162. Schmid, A., 1983, Phys. Rev. Lett. 51, 1506.
  163. Schneider, J. W., et al., 1990, Phys. Rev. B 41, 7254.
  164. Schneider, J. W., et al., 1992a, Phys. Rev. Lett. 68, 3196.
  165. Schneider, J. W., et al., 1992b, Mater. Sci. Forum 83-87, 569.
  166. Sellers, G. J., A. C. Anderson, and H. K. Birnbaum, 1974, Phys. Rev. B 10, 2771.
  167. Sieghban, P., and B. Lui, 1978, J. Chem. Phys. 68, 2457.
  168. Slichter, C. P., 1980, Principles of Magnetic Resonance (Springer, Berlin).
  169. Spaeth, J. M., 1969, Phys. Status Solidi 34, 171.
  170. Stamp, P. C. E., and Chao Zhang, 1991, Phys. Rev. Lett. 66, 1902.
  171. Steinbinder, D., H. Wipf, A. Magerl, D. Richter, A.-J. Dianoux, and K. Neumaier, 1988, Europhys. Lett. 6, 535.
  172. Stoneham, A. M., 1983, Phys. Lett. A 94, 353.
  173. Storchak, V., J. H. Brewer, and S. F. J. Cox, 1997, Hyperfine Interact. 105, 189.
  174. Storchak, V. G., J. H. Brewer, and D. G. Eschenko, 1997, Appl. Magn. Reson. 13, 15.
  175. Storchak, V., J. H. Brewer, D. G. Eschenko, S. F. J. Cox, and S. P. Cottrell, 1997, unpublished.
  176. Storchak, V., J. H. Brewer, W. N. Hardy, S. Johnston, S. R. Kreitzman, and G. D. Morris, 1994a, Hyperfine Interact. 85, 103.
  177. Storchak, V., J. H. Brewer, W. N. Hardy, S. R. Kreitzman, and G. D. Morris, 1994b, Phys. Rev. Lett. 72, 3056.
  178. Storchak, V., J. H. Brewer, W. N. Hardy, S. R. Kreitzman, and G. D. Morris, 1994c, Hyperfine Interact. 85, 109.
  179. Storchak, V., J. H. Brewer, W. N. Hardy, S. R. Kreitzman, and G. D. Morris, 1995, Philos. Mag. B 72, 233.
  180. Storchak, V., J. H. Brewer, W. N. Hardy, G. D. Morris, T. M. Riseman, and C. Niedermayer, 1993, Phys. Lett. A 182, 449.
  181. Storchak, V., J. H. Brewer, and G. D. Morris, 1994a, Phys. Lett. A 193, 199.
  182. Storchak, V., J. H. Brewer, and G. D. Morris, 1994b, Hyperfine Interact. 85, 31.
  183. Storchak, V., J. H. Brewer, and G. D. Morris, 1995a, Phys. Rev. Lett. 75, 2384.
  184. Storchak, V., J. H. Brewer, and G. D. Morris, 1995b, Philos. Mag. B 72, 241.
  185. Storchak, V., J. H. Brewer, and G. D. Morris, 1996a, Phys. Rev. Lett. 76, 2969.
  186. Storchak, V., J. H. Brewer, and G. D. Morris, 1996b, Hyperfine Interact. 97/98, 323.
  187. Storchak, V., J. H. Brewer, and G. D. Morris, 1996c, unpublished.
  188. Storchak, V., J. H. Brewer, and G. D. Morris, 1996d, Phys. Rev. B 53, 11 300.
  189. Storchak, V., J. H. Brewer, and G. D. Morris, 1997, Phys. Rev. B 56, 55.
  190. Storchak, V., J. H. Brewer, G. D. Morris, D. J. Arseneau, and M. Senba, 1994, Hyperfine Interact. 85, 117.
  191. Storchak, V., F. J. Cox, S. P. Cottrell, J. H. Brewer, G. D. Morris, D. J. Arseneau, and B. Hitti, 1997, Phys. Rev. Lett. 78, 2835.
  192. Storchak, V., F. J. Cox, S. P. Cottrell, J. H. Brewer, G. D. Morris, and N. V. Prokof’ev, 1996, Phys. Rev. B 53, 662.
  193. Storchak, V., B. F. Kirillov, A. V. Pirogov, V. N. Duginov, V. G. Grebinnik, T. N. Mamedov, V. G. Ol’shevsky, V. A. Zhukov, J. H. Brewer, and G. D. Morris, 1992, Phys. Lett. A 32, 77.
  194. Storchak, V., G. D. Morris, K. Chow, W. N. Hardy, J. H. Brewer, S. R. Kreitzman, M. Senba, J. W. Schneider, and P. Mendels, 1992, Chem. Phys. Lett. 200, 546.
  195. Sugimoto, H. J., 1986, J. Phys. Soc. Jpn. 55, 1687.
  196. Teichler, H., 1977, Phys. Lett. A 64, 78.
  197. Teichler, H., and A. Seeger, 1981, Phys. Lett. A 82, 91.
  198. Teichler, H., and A. Klamt, 1985, Phys. Lett. A 108, 281.
  199. Van Vleck, J. H., 1948, Phys. Rev. 74, 1168.
  200. Verkin, B. I., and A. F. Prikhotko, 1983, Eds., Cryocrystals (Naukova Dumka, Kiev).
  201. Vladar, K., and A. Zawadowski, 1983, Phys. Rev. B 28, 1564.
  202. Völkl, J., and G. Alefeld, 1978, in Hydrogen in Metals, edited by G. Alefeld and J. Völkl (Springer, Berlin), Vol. 1, p. 321.
  203. Waite, T. R., 1957, Phys. Rev. 107, 463.
  204. Weiss, U., and M. Wollensak, 1989, Phys. Rev. Lett. 62, 1663.
  205. Weiss, U., 1993, Quantum Dissipative Systems, Series in Modern Condensed Matter Physics, Vol. 2 (World Scientific, Singapore).
  206. Welter, J.-M., D. Richter, R. Helpenman, O. Hartmann, E. Karlsson, L. O. Norlin, T. O. Niinikoski, and D. Lenz, 1983, Z. Phys. B 52, 303.
  207. Welter, J.-M., D. Richter, R. Helpenman, O. Hartmann, E. Karlsson, L. O. Norlin, and T. O. Niinikoski, 1984, Hyperfine Interact. 17-19, 117.
  208. Wipf, H., and G. Alefeld, 1974, Phys. Status Solidi A 23, 175.
  209. Wipf, H., and K. Neumaier, 1984, Phys. Rev. Lett. 52, 1308.
  210. Wipf, H., D. Steinbinder, K. Neumaier, P. Gutsmiedl, A. Magerl, and A.-J. Dianoux, 1987, Europhys. Lett. 4, 1379.
  211. Yamada, K., 1984, Prog. Theor. Phys. 72, 195.
  212. Yamada, K., A. Sakurai, S. Miyazima, and H. S. Hwang, 1986, Prog. Theor. Phys. 75, 1030.
  213. Yamazaki, T., and K. Nagamine, 1984, Eds., Proceedings of the Yamada Conference VII on Muon Spin Rotation and Associated Problems, Shimoda, Japan, 1983, Hyperfine Interact. 17-19, 1-1034.
  214. Yen, H. K., M.Sc. thesis, 1988, University of British Columbia.

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Rev. Mod. Phys. 70, 929– Published 1 July, 1998

    © 1998 American Physical Society

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