Various facets of Chalker-Coddington network model

Victor Kagalovsky; Baruch Horovitz; Yshai Avishai

doi:10.1142/S0217984904007013

Various facets of Chalker-Coddington network model

Victor Kagalovsky, Baruch Horovitz, Yshai Avishai

Department of Physics

Research output: Contribution to journal › Review article › peer-review

4 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 language	English
Pages (from-to)	385-391
Number of pages	7
Journal	Modern Physics Letters B
Volume	18
Issue number	10
DOIs	https://doi.org/10.1142/S0217984904007013
State	Published - 20 Apr 2004

Keywords

Network model
New symmetry classes
Quantum Hall effect

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

Access to Document

10.1142/S0217984904007013

Cite this

@article{3d2c4c5f779548ad9b25a801f73d46c0,

title = "Various facets of Chalker-Coddington network model",

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.",

keywords = "Network model, New symmetry classes, Quantum Hall effect",

author = "Victor Kagalovsky and Baruch Horovitz and Yshai Avishai",

year = "2004",

month = apr,

day = "20",

doi = "10.1142/S0217984904007013",

language = "English",

volume = "18",

pages = "385--391",

journal = "Modern Physics Letters B",

issn = "0217-9849",

publisher = "World Scientific",

number = "10",

}

TY - JOUR

T1 - Various facets of Chalker-Coddington network model

AU - Kagalovsky, Victor

AU - Horovitz, Baruch

AU - Avishai, Yshai

PY - 2004/4/20

Y1 - 2004/4/20

N2 - 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.

AB - 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.

KW - Network model

KW - New symmetry classes

KW - Quantum Hall effect

UR - http://www.scopus.com/inward/record.url?scp=13844255677&partnerID=8YFLogxK

U2 - 10.1142/S0217984904007013

DO - 10.1142/S0217984904007013

M3 - Review article

AN - SCOPUS:13844255677

SN - 0217-9849

VL - 18

SP - 385

EP - 391

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 10

ER -

Various facets of Chalker-Coddington network model

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this