Year: 2002
Type: article
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.
Authors: Stefan Kettemann, Riccardo Mazzarello
Institution: Universität Hamburg
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2090664703