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  • Letter
  • Open Access

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

H. Topchyan1, I. A. Gruzberg2, W. Nuding3, A. Klümper3, and A. Sedrakyan1

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Phys. Rev. B 110, L081112 – Published 21 August, 2024Erratum Phys. Rev. B 114, 049902 (2026)

DOI: https://doi.org/10.1103/PhysRevB.110.L081112

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, Phys. Rev. B 95, 125414 (2017)]. 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 νexpt≈2.38 observed at the integer quantum Hall transition but substantially different from the CC value νCC≈2.6.

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Erratum

Erratum: Integer quantum Hall transition: An S-matrix approach to random networks [Phys. Rev. B 110, L081112 (2024)]

H. Topchyan, I. Gruzberg, W. Nuding, A. Klümper, and A. Sedrakyan
Phys. Rev. B 114, 049902 (2026)

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Phys. Rev. B 110, L081112– Published 21 August, 2024
  • Received 14 July 2024
  • Revised 4 August 2024
  • Accepted 8 August 2024
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