1997/05/31 by C. Mauz, Achim Rosch, A. Rosch +2
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Semiconductor Quantum Structures and Devices #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.56.10953
published as Phys. Rev. B, 56 (1997), 10953 · RevTeX, 11 pages, 4 figures; three references added and discussed
arxiv created 1997/07/14 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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_\ensuremath∥/D_\ensuremath⊥)^\ensuremathγ, where D_\ensuremath∥/D_\ensuremath⊥ is the ratio of the diffusion coefficients parallel and perpendicular to the planes or chains. \ensuremathγ depends on the direction of the magnetic field, e.g., \ensuremathγ=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.