Dimensional Crossover of Weak Localization in a Magnetic Field

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 $L_m$ 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.

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

References in corpus (2)

• Localization in Highly Anisotropic Systems
• Scaling Properties in Highly Anisotropic Systems

Cited by in corpus (7)

• Weak-localization corrections to the conductivity of double quantum wells
• Weak spin-orbit interactions induce exponentially flat mini-bands in magnetic metals without inversion symmetry
• Quantum interference and weak localisation effects in the interlayer magnetoresistance of layered metals
• Low field negative magnetoresistance in double layer structures
• 2D-3D crossover in a dense electron liquid in silicon
• Weak Field Magnetoresistance in Quasi-One-Dimensional Systems
• Manifestation of two-channel nonlocal spin transport in the shapes of the Hanle curves