Smoothed universal correlations in the two-dimensional Anderson model
We report on calculations of smoothed spectral correlations in the twodimensional Anderson model for weak disorder. As pointed out in (M. Wilkinson, J. Phys. A: Math. Gen. 21, 1173 (1988)), an analysis of the smoothing dependence of the correlation functions provides a sensitive means of establishin...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | English |
| Published: |
Universitätsbibliothek Chemnitz
1998
|
| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801066 http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801066 http://www.qucosa.de/fileadmin/data/qucosa/documents/4185/data/b011.pdf http://www.qucosa.de/fileadmin/data/qucosa/documents/4185/data/b011.ps http://www.qucosa.de/fileadmin/data/qucosa/documents/4185/19980106.txt |
| Summary: | We report on calculations of smoothed spectral correlations in the twodimensional
Anderson model for weak disorder. As pointed out in (M. Wilkinson,
J. Phys. A: Math. Gen. 21, 1173 (1988)), an analysis of the smoothing
dependence of the correlation functions provides a sensitive means of establishing
consistency with random matrix theory. We use a semiclassical approach
to describe these fluctuations and offer a detailed comparison between
numerical and analytical calculations for an exhaustive set of two-point correlation
functions. We consider parametric correlation functions with an external
Aharonov-Bohm flux as a parameter and discuss two cases, namely
broken time-reversal invariance and partial breaking of time-reversal invariance.
Three types of correlation functions are considered: density-of-states,
velocity and matrix element correlation functions. For the values of smoothing
parameter close to the mean level spacing the semiclassical expressions
and the numerical results agree quite well in the whole range of the magnetic
flux. |
|---|