Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628621 | Applied Mathematics and Computation | 2013 | 11 Pages |
Abstract
Green function method is applied to the solution of Schrödinger equation in two-dimensions where there is a constant and nearly uniform magnetic field Bo applied perpendicularly and there are infinitesimally weak scatterers within the system. Electronic density of states n(E) obtained from the average Green function go is a continuous function of energy E and not in the form of discrete Landau spikes even in the pure system with no disorder. Self consistent calculation of self-energy gives two possible scattering time values, one leading to resistance increase with Bo while the other causing decrease in resistance.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Basri Ãnal,