Abstract
The mode-coupling approach is employed for the investigation of the critical behaviour near the Anderson conductor-insulator transition. Critical exponents for the d.c. conductivity s as well as the localization length ν are determined for the model of noninteracting electrons in disordered lattice. Marginal dimensionalities appear to be d = 2 below which no transition exists and d = 4 above which s = 1 and ν = 1/2. For 2 < d < 4 we get s = 1 and ν = 1/(d-2). In addition, we show that for parabolic bands and d ≥ 6 the transition cannot always be reached by lowering the Fermi energy.
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References
P.W. Anderson, Phys. Rev. 109, 1492 (1958).
N.F. Mott and E. Davis, Electronic processes in noncrystalline materials (Clarendon, Oxford, 1979).
S. Yoshino and M. Okazaki, J. Phys. Soc.Japan 43, 415 (1977).
D. Weaire and V. Srivastava, J. Phys. C 10 ,4309 (1977).
Solid State Commun. 30, 369 (1979).
P. Prelovšek, Phys.Rev. B 18 ,3657 (1978); Solid State Commun. 30, 369 (1979).
F.J. Wegner, Z. Physik B 25, 327 (1976)
Z. Physik B 35, 207 (1979).
R. Oppermann and F.J. Wegner, Z. Physik B 34, 327 (1979).
E. Abrahams, P.W. Anderson, D.C. Licciardello and T.V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
W. Götze, J. Phys. C 12, 1279 (1979).
W. Götze, P. Prelovšek and P. Wölfle, Solid State Commun. 30, 369 (1979).
W. Götze, Proc. of the Int. Conf. on Impurity bands in semiconductors, Würzburg 1979, to be published.
P. Prelovsek, to be published.
J.D. Gunton, Proc. of the Int. Conf. on Dynamical critical phenomena and related topics, Geneve, ed. C.P. Enz, Springer Verlag (Berlin 1979), p.l.
L.P. Gorkov, A.I. Larkin and D.E. Khmelnitzkii, Zh. Eksp. Teor. Fiz. Letters 30, 248 (1979).
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© 1981 Plenum Press, New York
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Prelovšek, P. (1981). Critical Behaviour Near the Conductor-Insulator Transition in Disordered Solids: A Mode-Coupling Theory. In: Devreese, J.T., Lemmens, L.F., Van Doren, V.E., Van Royen, J. (eds) Recent Developments in Condensed Matter Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3899-4_25
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DOI: https://doi.org/10.1007/978-1-4684-3899-4_25
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