VARIOUS FACETS OF CHALKER–CODDINGTON NETWORK MODEL.
By: KAGALOVSKY, VICTOR; HOROVITZ, BARUCH;
AVISHAI, YSHAI. Modern Physics
Letters B, 4/20/2004, Vol. 18
Issue 10, p385-391, 7p; Abstract: We briefly discuss various applications
of the Chalker–Coddington network model, starting with the original one,
proposed to describe inter-plateaux transition in the integer quantum
Hall effect (IQHE). Next, we present generalization appropriate for the
IQHE allowing to include spin, and conclude with recent applications to
dirty superconductors. We then describe how numerical calculations on an
open network produce data for the localization length behavior in the
metal-insulator transition, whereas calculations on the closed system
allow elucidation of various levels statistics. We also discuss how
numerical algorithm for systems with additional symmetries is modified
in order to improve the accuracy. Finally, results for the
nearest-neighbor spacing distribution in dirty superconductors are
presented. [ABSTRACT FROM AUTHOR]; (AN 13533586)
Subjects:
QUANTUM Hall effect; QUANTUM theory; ELECTRICITY; GALVANOMAGNETIC
effects; SUPERCONDUCTORS; ALGORITHMS