1998/04/29 by H. Potempa, H Potempa, L. Schweitzer +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1088/0953-8984/10/25/003
published as J. Phys.: Condens. Matter 10 (1998) L431-L435 · 5 pages LaTeX, 3 ps-figures included. submitted to Journ. of Physics Condensed Matter
arxiv created 1998/04/29 · openalex publication_date 1998/06/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The level-spacing distribution of consecutive energy eigenvalues is calculated numerically at the metal - insulator transition for 3D systems with different cuboid shapes. It is found that the scale independent critical changes as a function of the aspect ratio of the samples, while the critical disorder remains the same. We use our data to test whether an expression for the small- s behaviour of the level statistics proposed by Kravtsov and Mirlin for the metallic regime is applicable also at the critical point. For this reason, a shape dependent dimensionless critical conductance has been extracted from the small- s behaviour of the critical level statistics. Our result for a cubic sample, , is in good agreement with a value obtained previously from calculations using the Kubo formula.