scholarly journals Critical behavior at the integer quantum Hall transition in a network model on the kagome lattice

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
N. Charles ◽  
I. A. Gruzberg ◽  
A. Klümper ◽  
W. Nuding ◽  
A. Sedrakyan
Keyword(s):  
Network Model ◽  
Critical Behavior ◽  
Quantum Hall ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Integer Quantum

Study of the Critical Behavior of the Ising Model on a Kagome Lattice

2018 ◽  
Vol 68 (5) ◽  
pp. 552-556
Author(s):  
Seung-Yeon KIM ◽  
Wooseop KWAK*
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Kagome Lattice ◽  
Kagomé Lattice

scholarly journals Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

2016 ◽  
Vol 117 (9) ◽  
Author(s):  
W. Zhu ◽  
Shou-Shu Gong ◽  
Tian-Sheng Zeng ◽  
Liang Fu ◽  
D. N. Sheng
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Kagome Lattice ◽  
Kagomé Lattice

scholarly journals Edge-state critical behavior of the integer quantum Hall transition

2021 ◽  
Author(s):  
Martin Puschmann ◽  
Philipp Cain ◽  
Michael Schreiber ◽  
Thomas Vojta
Keyword(s):  
Critical Behavior ◽  
Quantum Hall ◽  
Edge State ◽  
Integer Quantum

VARIOUS FACETS OF CHALKER–CODDINGTON NETWORK MODEL

2004 ◽  
Vol 18 (10) ◽  
pp. 385-391 ◽  
Author(s):  
VICTOR KAGALOVSKY ◽  
BARUCH HOROVITZ ◽  
YSHAI AVISHAI
Keyword(s):  
Network Model ◽  
Quantum Hall Effect ◽  
Nearest Neighbor ◽  
Quantum Hall ◽  
Localization Length ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Spacing Distribution ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum

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.

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