A Kinetic Theory for Quantum Transport in Aperiodic Media
Schulz-Baldes H, Bellissard J (1998)
Publication Type: Journal article
Publication year: 1998
Journal
Publisher: Springer Verlag (Germany)
Book Volume: 91
Pages Range: 991-1026
Journal Issue: 5
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 noncommutative geometry, it is then possible to rigorously derive Kubo formulas 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 us to examine anomalous transport owing to quantum interferences. This leads to anomalies in Drude's formula.
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APA:
Schulz-Baldes, H., & Bellissard, J. (1998). A Kinetic Theory for Quantum Transport in Aperiodic Media. Journal of Statistical Physics, 91(5), 991-1026. https://dx.doi.org/10.1023/A:1023084017398
MLA:
Schulz-Baldes, Hermann, and Jean Bellissard. "A Kinetic Theory for Quantum Transport in Aperiodic Media." Journal of Statistical Physics 91.5 (1998): 991-1026.
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