1988/05/20 by J. T. Chalker, J T Chalker, Paul Coddington +1 · 11 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems
paper · doi:10.1088/0022-3719/21/14/008
crossref issued 1988/05/20 · crossref published 1988/05/20 · crossref published-print 1988/05/20 · openalex publication_date 1988/05/20 · crossref published-online 2000/11/21 · crossref created 2002/07/26 · crossref deposited 2020/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/07/31
A model is introduced for Anderson localisation in the integer quantum Hall regime. The model represents a system with a disordered potential that varies slowly on the scale of the magnetic length, but includes quantum tunnelling and interference effects. Numerical calculations indicate that the localisation length diverges only at the centre of each Landau band. The scaling behaviour near the mobility edge is analysed: results suggest that quantum tunnelling induces crossover at the classical percolation threshold to critical behaviour similar to that found previously for a rapidly varying potential.