The eigenvalue problem of the Hamiltonian of an electron confined to a plane and subjected to a perpendicular time-independent magnetic field which is the sum of a homogeneous field and an additional field contributed by a singular flux tube, i.e., of zero width, is investigated. Since both a direct
Current correlations and quantum localization in a random or homogeneous magnetic field
✍ Scribed by I.V. Gornyi; A.D. Mirlin; P. Wölfle
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 83 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1386-9477
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✦ Synopsis
We study long-range correlations of equilibrium current densities in a two-dimensional mesoscopic system with the time reversal invariance broken by a random or homogeneous magnetic ÿeld. Our result is universal, i.e. it does not depend on the type (random potential or random magnetic ÿeld) or correlation length of disorder. Performing a closely connected analysis of the quantum correction to the conductivity in one-loop order, we show that it is non-divergent, in contrast to recent claims in the literature.
📜 SIMILAR VOLUMES
We have studied negative magnetoresistance due to the weak localization effects in a 2D electron gas (2DEG) grown on dimpled substrates. Since the 2DEG is sensitive only to the normal component of \(\mathrm{B}\), depending on the orientation of the external magnetic field, electrons will move in a s