Magnetolocalization in disordered quantum wires

2001/09/04 by Stefan Kettemann, Riccardo Mazzarello · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.65.085318

published as Phys. Rev. B 65, 085318 (2002) · 22 pages, RevTeX

arxiv created 2001/09/04 · openalex publication_date 2002/02/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Magnetic-field-dependent localization in a disordered quantum wire is considered nonperturbatively. An increase of an averaged localization length with the magnetic field is found, saturating at twice its value without magnetic field. The crossover behavior is shown to be governed both in the weak- and strong-localization regimes by the magnetic diffusion length L_B. This function is derived analytically in closed form as a function of the ratio of the mean free path l, the wire thickness W, and the magnetic length l_B for a two-dimensional wire with specular boundary conditions, as well as for a parabolic wire. The applicability of the analytical formulas to resistance measurements in the strong localization regime is discussed. A comparison with recent experimental results is included.

Citations

• Random-matrix theories in quantum physics: common concepts
• Impurity Conduction at Low Concentrations
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Random-matrix theory of quantum transport
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
• Search for Two-Scale Localization in Disordered Wires in a Magnetic Field

Cited by

• Dimensional dependence of weak localization corrections and spin relaxation in quantum wires with Rashba spin-orbit coupling