Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-11-17
Phys. Rev. B 59, 6 (1999) 4080-4090.
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 14 figures submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.59.4080
We report on calculations of smoothed spectral correlations in the two-dimensional 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.
Mehlig Bernhard
Roemer Rudolf A.
Schreiber Michael
Uski Ville
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