2026-10-06T07:29:19Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33885025 2026-09-17T10:44:18Z portal_1197 item_type_3 month_year_09_2026

Data for Real-space renormalisation approach to the Chalker-Coddington model revisited : improved statistics Syl Shaw (25013863) Rudolf A. Roemer (22037333) Quantum Hall effect Phase transformations (Statistical physics) Renormalization (Physics) Renormalization group Geometric analysis Migrated from ePrints The real-space renormalisation group method can be applied to the Chalker-Coddington model of the quantum Hall transition to provide a convenient numerical estimation of the localisation critical exponent, $\nu$. Previous such studies found $\nu\sim 2.39$ which falls considerably short of the current best estimates by transfer matrix ($\nu=2.593 \substack{+0.005\\-0.006}$) and exact-diagonalisation studies ($\nu=2.58(3)$). By increasing the amount of data $500$ fold we can now measure closer to the critical point and find an improved estimate $\nu=2.51\substack{+0.11\\-0.11}$. This deviates only $\sim 3\%$ from the previous two values and is already better than the $\sim 7\%$ accuracy of the classical small-cell renormalisation approach from which our method is adapted. We also study a previously proposed mixing of the Chalker-Coddington model with a classical scattering model which is meant to provide a route to understanding why experimental estimates give a lower $\nu\sim 2.3$. Upon implementing this mixing into our RG unit, we find only further increases to the value of $\nu$. 2026-09-17T10:44:18Z Dataset Dataset 10.82444/warw.33885025.v1 https://figshare.com/articles/dataset/Data_for_Real-space_renormalisation_approach_to_the_Chalker-Coddington_model_revisited_improved_statistics/33885025 CC BY 4.0