2 9 A pr 1 99 8 Dependence of critical level statistics on the sample shape
نویسندگان
چکیده
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 P c (s) changes as a function of the aspect ratio of the samples while the critical disorder W c /V = 16.4 remains the same. We use our data to test whether an expression for the smalls 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 g c has been extracted from the smalls behaviour of the critical level statistics. Our result for a cubic sample, g c = 0.112±0.005, is in good agreement with a value obtained previously from calculations using the Kubo-formula.
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