Irrelevant corrections at the quantum Hall transition

Keith Slevin; Tomi Ohtsuki

doi:10.1002/pssr.202300080

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arXiv · 2304.06223

Irrelevant corrections at the quantum Hall transition

Keith Slevin·Tomi Ohtsuki

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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.

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Keith Slevin, Tomi Ohtsuki. 2023-04-13. Irrelevant corrections at the quantum Hall transition. https://doi.org/10.1002/pssr.202300080

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