Abstract
We investigate the localization of electrons hopping on quasi-one-dimensional strips in the presence of a random magnetic field. In the weak-disorder region, by perturbative analytical techniques, we derive scaling laws for the localization length, ξ, of the form ξ∝1/(Formula presented), where w is the size of magnetic disorder and the exponent η assumes different values in the various energy ranges. Moreover, in the neighborhood of the energies where a new channel opens a certain rearrangement of the perturbation expansion leads to scaling functions for ξ. Although the latter are in general quantitatively wrong, they correctly reproduce the corresponding η exponents and the form of the scaling variables and are therefore useful for understanding the behavior of ξ.
Original language | English |
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Pages (from-to) | 9634-9639 |
Number of pages | 6 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 53 |
Issue number | 15 |
DOIs | |
State | Published - 1 Jan 1996 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics