Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-03-17
Phys. Rev. B 59, 13026 (1999).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 7 eps figures, to be published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.59.13026
Disorder-induced spectral correlations of mesoscopic quantum systems in the non-diffusive regime and their effect on the magnetic susceptibility are studied. We perform impurity averaging for non-translational invariant systems by combining a diagrammatic perturbative approach with semiclassical techniques. This allows us to study the entire range from clean to diffusive systems. As an application we consider the magnetic response of non-interacting electrons in microstructures in the presence of weak disorder. We show that in the ballistic case (elastic mean free path $\ell$ larger than the system size) there exist two distinct regimes of behaviour depending on the relative magnitudes of $\ell$ and an inelastic scattering length $L_{\phi}$. We present numerical results for square billiards and derive approximate analytical results for generic chaotic geometries. The magnetic field dependence and $L_{\phi}$ dependence of the disorder-induced susceptibility is qualitatively similar in both types of geometry.
McCann Edward
Richter Klaus
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