1987/08/10 by J. T. Chalker, J T Chalker · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Topological Materials and Phenomena
paper · doi:10.1088/0022-3719/20/22/002
crossref issued 1987/08/10 · crossref published 1987/08/10 · crossref published-print 1987/08/10 · openalex publication_date 1987/08/10 · crossref published-online 2000/11/22 · crossref created 2002/07/26 · crossref deposited 2020/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/30
The behavior of non interacting electrons is studied in two-dimensional disordered systems under a perpendicular magnetic field. The strong-field limit is examined, in which scattering between Landau bands may be neglected. It is shown that the form of the two-particle spectral function is severely restricted by a general inequality for certain eigenfunction correlations, together with the requirements of average translational and rotational invariance. Consequences are: there cannot exist bands of extended states (in the diffusion sense) with finite energy width; and either the exponent nu <or= 1 / 2 (which has been predicted previously, but violates the Harris condition) or the exponent eta >O (which would be new in two-dimensional localisation).