Dimensional Crossover of Weak Localization in a Magnetic Field

Details Dimensional Crossover of Weak Localization in a Magnetic Field Dimensional Crossover of Weak Localization in a Magnetic Field

1997-05-23

arxiv.org/abs/cond-mat/9705242v2

Phys. Rev. B, 56 (1997), 10953

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTeX, 11 pages, 4 figures; three references added and discussed

Scientific paper

10.1103/PhysRevB.56.10953

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 $L_m$ becomes shorter than $a(D_{||}/D_\perp)^\gamma$, where $\D_{||}/D_\perp$ is the ratio of the diffusion coefficients parallel and perpendicular to the planes or chains. $\gamma$ depends on the direction of the magnetic field, e.g. $\gamma=1/4$ 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.

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