Irrelevant corrections at the quantum Hall transition

Abstract

The quantum Hall effect is one of the most extensively studied topological effects in solid state physics. The transitions between different quantum Hall states exhibit critical phenomena described by universal critical exponents. Numerous numerical finite size scaling studies have focused on the critical exponent $\nu$ for the correlation length. In such studies it is important to take proper account of irrelevant corrections to scaling. Recently, Dresselhaus et al. [Phys. Rev. Lett. {\bf 129}, 026801(2022)] proposed a new scaling ansatz, which they applied to the two terminal conductance of the Chalker-Coddington model. In this paper their proposal is applied to our previously reported data for the Lyapunov exponents of that model using both polynomial fitting and Gaussian process fitting.

arXiv commentThe order of paragraphs is not the same as the published version

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Cited by in corpus (2)

• Fast Fourier-Chebyshev approach to real-space simulations of the Kubo formula
• Quantum Hall criticality in an amorphous Chern insulator