Abstract
We present a critical review of the present state of the critical exponent puzzle of the metal-insulator transition of doped semiconductors with emphasis on the role of meso-and macroscopic inhomogeneity caused by the disorder of intended or unintended acceptors and donors in crystals. By using both isotopic engineering and neutron transmutation doping (NTD) of germanium we found for low compensations (at K=1.4 and 12%) that the critical exponents of the localization length and the dielectric constant are nearly ν=1/2 and ζ=1, which double for medium compensations (at K=38 and 54%) to ν=1 and ζ=2, respectively.
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References
See for a review A. Moebius et al., Phys. Rev. B (1998), to be published.
R. F. Milligan, T. F. Rosenbaum, R. N. Bhatt, and G. A. Thomas, in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak, Modern Problems in Condensed Matter Sciences, Volume 10, (Elsevier Science, North Holland, 1985), p. 231.
T. F. Rosenbaum, K. Andres, G. A. Thomas, and R. N. Bhatt, Phys. Rev. Lett. 45, 1723 (1982); M. A. Paalanen, T. F. Rosenbaum, G. A. Thomas, and R. N. Bhatt, Phys. Rev. Lett. 48, 1284 (1982).
P. F. Newman and D. F. Holcomb, Phys. Rev. B 28, 638 (1983).
W. N. Shafarman, D. W. Koon, and T. G. Castner, Phys. Rev. B 40, 1216 (1989).
A. N. Ionov, M. J. Lea, and R. Rentzsch, Pis’ma Zh. Éksp. Teor. Fiz. 54, 470 (1989) [JETP Lett. 54, 473 (1991)].
P. Dai, Y. Zhang and M. P. Sarachik, Phys. Rev. Lett. 66, 1914 (1991).
K. M. Itoh, E. E. Haller, J. W. Hansen, J. Emes, L. A. Reichertz, E. Kreysa, T. Shutt, A. Cummings, W. Stockwell, B. Sadoulet, J. Muto, J. W. Farmer, and V. I. Ozhogin, Phys. Rev. Lett. 77, 4058 (1996).
G. Hertel, D. J. Bishop, E. G. Spencer, J. M. Rowell, and R. C. Dynes, Phys. Rev. Lett. 50, 743 (1983).
M. Yamaguchi, N. Nishida, T. Furubayashi, K. Morigaki, H. Ishimoto, and K. Ono, Physica B 118, 694 (1983).
R. Rentzsch, K. J. Friedland, A. N. Ionov, M. N. Matveev, I. S. Shlimak, C. Gladun, and H. Vinzelberg, Phys. Status Solidi B 137, 691 (1986); R. Rentzsch, K. J. Friedland, and A. N. Ionov, Phys. Status Solidi B 146, 199 (1988).
M. Rohde and H. Micklitz, Phys. Rev. B 36, 7572 (1987).
H. Strupp, M. Hornung, M. Lackner, O. Madel, and H. V. Loehneysen, Phys. Rev. Lett. 71, 2634 (1993).
I. Shlimak, M. Kaveh, R. Ussyshkin, V. Ginodman, and L. Resnick, Phys. Rev. Lett. 77, 1103 (1996).
E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
A. MacKinnon and B. Kramer, Phys. Rev. Lett. 47, 1546 (1981).
T. Ohtsuki, B. Kramer, and Y. Ono, Solid State Commun. 81, 477 (1992).
M. Henneke, B. Kramer, and T. Ohtsuki, Europhys. Lett. 27, 389 (1994).
E. Hofstetter and M. Schreiber, Phys. Rev. Lett. 73, 3137 (1994).
T. Kawabayashi, T. Ohtsuki, K. Slevin, and Y. Ono, Phys. Rev. Lett. 77, 3593 (1996).
J. Chayes, L. Chayes, D. S. Fisher, and T. Spencer, Phys. Rev. Lett. 54, 2375 (1986).
A. L. Efros and B. I. Shklovskii, in Electronic Properties of Doped Semiconductors. (Springer-Verlag, Berlin, 1984), pp. 240, 211.
R. Rentzsch, A. N. Ionov, Ch. Reich, M. Müller, B. Sandow, P. Fozooni, M. J. Lea, V. Ginodman, and I. Shlimak, Phys. Status Solidi B 205, 269 (1998); R. Rentzsch, Ch. Reich, A. N. Ionov, P. Fozooni, and M. J. Lea, Proceedings of the 24th International Conference on the Physics of Semiconductors ICPS-24. Jerusalem (1998).
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Fiz. Tverd. Tela (St. Petersburg) 41, 837–840 (May 1999)
Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.
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Rentzsch, R., Reich, C., Ionov, A.N. et al. Influence of disorder in compensation-doped germanium on the critical indices of the metal-insulator transition. Phys. Solid State 41, 757–760 (1999). https://doi.org/10.1134/1.1130864
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DOI: https://doi.org/10.1134/1.1130864