Localization in Quasi-1D Systems with Random Magnetic Field

Details Localization in Quasi-1D Systems with Random Magnetic Field Localization in Quasi-1D Systems with Random Magnetic Field

1995-07-08

arxiv.org/abs/cond-mat/9507022v1

Physics

Condensed Matter

8 pages, uuencoded compressed postscript, includes 3 figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.53.9634

We investigate the localization of electrons hopping on quasi-1D strips in the presence of random magnetic field. In the weak-disorder region, by perturbative analytical techniques, we derive scaling laws for the localization length, ${\xi}$, of the form $ \xi \propto \frac{1}{w^{\eta}}$, where $w$ is the size of magnetic disorder and the exponent $\eta$ 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 $\xi$. Although the latter are in general quantitatively wrong, they correctly reproduce the corresponding $\eta$ exponents and the form of the scaling variables and are therefore useful for understanding the behavior of $\xi$.

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