Dimensional crossover of weak localization in a magnetic field

C. Mauz, A. Rosch, and P. Wölfle
Phys. Rev. B 56, 10953 – Published 1 November 1997
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Abstract

We study the dimensional crossover of weak localization in strongly anisotropic systems. This crossover from three-dimensional behavior to an effective lower-dimensional system is triggered by increasing temperature if the phase coherence length gets shorter than the lattice spacing a. A similar effect occurs in a magnetic field if the magnetic length Lm becomes shorter than a(D/D)γ, where D/D is the ratio of the diffusion coefficients parallel and perpendicular to the planes or chains. γ depends on the direction of the magnetic field, e.g., γ=1/4 or 1/2 for a magnetic field parallel or perpendicular to the planes in a quasi-two-dimensional system. We show that even in the limit of large magnetic field, weak localization is not fully suppressed in a lattice system. Experimental implications are discussed in detail.

  • Received 23 May 1997

DOI:https://doi.org/10.1103/PhysRevB.56.10953

©1997 American Physical Society

Authors & Affiliations

C. Mauz, A. Rosch, and P. Wölfle

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany

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Vol. 56, Iss. 17 — 1 November 1997

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