Magnetolocalization in disordered quantum wires

Details Magnetolocalization in disordered quantum wires Magnetolocalization in disordered quantum wires

2001-09-04

arxiv.org/abs/cond-mat/0109060v1

Phys. Rev. B 65, 085318 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

22 pages, RevTeX

Scientific paper

10.1103/PhysRevB.65.085318

The 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 regime 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 on magnetolocalization is included.

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