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Smoothed universal correlations in the two-dimensional Anderson model
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Uski, V., Mehlig, B., Roemer, Rudolf A. and Schreiber, M. (1999) Smoothed universal correlations in the two-dimensional Anderson model. Physical Review B (Condensed Matter and Materials Physics), 59 (6). pp. 4080-4090. doi:10.1103/PhysRevB.59.4080 ISSN 1098-0121.
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Official URL: https://doi.org/10.1103/PhysRevB.59.4080
Abstract
We report on calculations of smoothed spectral correlations in the two-dimensional Anderson model for weak disorder. As pointed out [M. Wilkinson, J. Phys. A: 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 the 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.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||||||
Publisher: | American Physical Society | ||||||||
ISSN: | 1098-0121 | ||||||||
Official Date: | 1 February 1999 | ||||||||
Dates: |
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Volume: | 59 | ||||||||
Number: | 6 | ||||||||
Page Range: | pp. 4080-4090 | ||||||||
DOI: | 10.1103/PhysRevB.59.4080 | ||||||||
Status: | Peer Reviewed | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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