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Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics

PhD student Syl Shaw and supervisor Rudo Roemer apply the real-space renormalisation group method to the Chalker–Coddington model of the quantum Hall transition. This approach provides a convenient numerical estimation of the localisation critical exponent, ν. Previous such studies found ν=2.39 which falls considerably short of the current best estimates by transfer matrix (2.593) and exact-diagonalisation studies (2.58). By increasing the amount of data 500 fold they can now measure closer to the critical point and find an improved estimate 2.…

Athena Swan Silver Award Institute of Physics Juno Champion

The Welfare and Communication Group (WCG) works to promote good working practices and gender equality in Physics.