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Phys. Rev. Lett. 48, 699–702 (1982)

Scaling Equations from a Self-Consistent Theory of Anderson Localization

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D. Vollhardt
Max-Planck-Institut für Physik und Astrophysik, D-8000 Munich 40, Federal Republic of Germany

P. Wölfle
Physik-Department der Technischen Universität München, D-8046 Garching, Federal Republic of Germany, and Max-Planck-Institut für Physik und Astrophysik, D-8000 Munich 40, Federal Republic of Germany

Received 6 November 1981; published in the issue dated 8 March 1982

The conductance of a disordered system of finite volume Ld (d spatial dimensions) is calculated by making use of a recently developed self-consistent theory. Scaling equations are derived for the dimensionless conductance g and the scaling function β(g(L))=dlng/dlnL is explicitly calculated for arbitrary dimension d. It is shown that the theory obeys scaling in the sense of Wegner, Thouless, and Abrahams et al.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.48.699
DOI:
10.1103/PhysRevLett.48.699
PACS:
72.10.Bg, 71.30.+h