Localization properties of quasi-one-dimensional conductor networks in a random magnetic field

Y. Avishai, J. M. Luck

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We investigate the localization of electrons on a ladder-shaped quasi-one-dimensional network of clean wires, with a quenched random magnetic flux across each of its square plaquettes. In the weak-disorder regime, the localization length ξ is much larger than the side of the plaquettes. Using perturbative analytic techniques, we derive scaling laws of the form ξ∼1/wα, with w being the width of magnetic disorder. The critical exponent α assumes different values in various energy ranges: α=4 when only one channel is open, α=2 when both channels are open, α=1 around external and internal band edges. The corresponding scaling functions and amplitudes are accurately determined by numerical simulations. Magnetic disorder and potential disorder thus pertain to different universality classes.

Original languageEnglish
Pages (from-to)8679-8688
Number of pages10
JournalPhysical Review B
Volume49
Issue number13
DOIs
StatePublished - 1 Jan 1994

Fingerprint

Dive into the research topics of 'Localization properties of quasi-one-dimensional conductor networks in a random magnetic field'. Together they form a unique fingerprint.

Cite this