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The magnetic susceptibility of disordered non-diffusive mesoscopic systems | | Edward McCann
; Klaus Richter
; | | Date: |
17 Mar 1999 | | Journal: | Phys. Rev. B 59, 13026 (1999). | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | 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. | | Source: | arXiv, cond-mat/9903266 | | Services: | Forum | Review | PDF | Favorites | |
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