Work

Integer quantum Hall transition: An S -matrix approach to random networks

Year: 2024

Type: article

Abstract: In this paper we propose an S -matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work [I. A. Gruzberg, A. Klümper, W. Nuding, and A. Sedrakyan, ]. Random networks are modifications of the Chalker-Coddington (CC) model for the integer quantum Hall transition that more faithfully captures the physics of electrons moving in a strong magnetic field and a smooth disorder potential. This method has considerable advantages compared to the transfer matrix approach and gives the value ν ≈ 2.4 for the critical exponent of the localization length in a random network. This finding confirms our previous result and is surprisingly close to the experimental value ν expt ≈ 2.38 observed at the integer quantum Hall transition but substantially different from the CC value ν CC ≈ 2.6 . Published by the American Physical Society 2024

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.110.l081112

Authors: H. Topchyan, I. A. Gruzberg, W. Nuding, A. Klümper, A. Sedrakyan

Institutions: A. Alikhanyan National Laboratory, The Ohio State University, University of Wuppertal

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Deutsche Forschungsgemeinschaft, State Committee of Science

Awards: G1656604150, G3160633427, G859452857