Various facets of Chalker-Coddington network model

Victor Kagalovsky, Baruch Horovitz, Yshai Avishai

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations

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.

Original languageEnglish
Pages (from-to)385-391
Number of pages7
JournalModern Physics Letters B
Volume18
Issue number10
DOIs
StatePublished - 20 Apr 2004

Keywords

  • Network model
  • New symmetry classes
  • Quantum Hall effect

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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