SKM 2023 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 33: Poster II

HL 33.46: Poster

Wednesday, March 29, 2023, 17:00–19:00, P1

Novel approach to real-space renormalization group analysis of the quantum Hall effect — •Nathan Shaw and Rudolf A. Römer — Department of Physics, University of Warwick, Coventry, CV4 7AL, UK

Consensus on the value of the critical exponent ν of the plateau-to-plateau transitions in the quantum Hall effect has not yet been achieved. Recent work has highlighted a discrepancy between field theory based predictions and numerical high-precision estimates. A necessarily approximate real-space renormalization group (RG) approach to the Chalker-Coddington model has previously been shown to suggest a critical exponent of ν ≈ 2.3. However, most recent numerical estimations suggest that ν = 2.58(3). In this study, we experiment with varying the analytical form of the scattering matrix elements with the goal of increasing the numerical stability of the fixed point distribution constructed by the RG flow. Using this improved distribution, we recalculate the critical exponent with higher accuracy.