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We investigate a finite size “double scaling” hypothesis using data from an experiment on a quantum Hall system with short range disorder [1–3]. For Hall bars of width w at temperature T the scaling form is w−μT−κ, where the critical exponent μ≈0.23 we extract from the data is comparable to the multi-fractal exponent α0−2 obtained from the Chalker–Coddington (CC) model [4]. We also use the data to...
Experiments studying renormalization group flows in the quantum Hall system provide significant evidence for the existence of an emergent holomorphic modular symmetry Γ0(2). We briefly review this evidence and show that, for the lowest temperatures, the experimental determination of the position of the quantum critical points agrees to the parts per mille level with the prediction from Γ0(2). We present...
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