98-383 H. Schulz-Baldes, J. Bellissard

A Kinetic Theory for Quantum Transport in Aperiodic Media (399K, postscript) May 27, 98

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Abstract. Transport theory is reinvestigated in a one-particle model including dissipation mechanisms through a phenomenological time dependent part. Using the description of an aperiodic crystal in terms of non-commutative geometry, it is then possible to rigorously derive Kubo formul{\ae} for the electric conductivity. Within the framework of the relaxation time approximation, a fractal analysis applied to the spectral measures entering in the Kubo formula allows to examine anomalous transport owing to quantum interferences. This leads to anomalies in Drude's formula.

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