Anomalous transport: a mathematical framework
Schulz-Baldes H, Bellissard J (1998)
Publication Type: Journal article
Publication year: 1998
Journal
Publisher: World Scientific Publishing
Book Volume: 10
Pages Range: 1-46
URI: http://de.arxiv.org/abs/cond-mat/9706239
DOI: 10.1142/S0129055X98000021
Abstract
We develop a mathematical framework allowing to study anomalous transport in homogeneous solids. The main tools characterizing the anomalous transport properties are spectral and diffusion exponents associated to the covariant Hamiltonians describing these media. The diffusion exponents characterize the spectral measures entering in Kubo's formula for the conductivity and hence lead to anomalies in Drude's formula. We give several formulas allowing to calculate these exponents and treat, as an example, Wegner's n-orbital model as well as the Anderson model in coherent potential approximation.
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APA:
Schulz-Baldes, H., & Bellissard, J. (1998). Anomalous transport: a mathematical framework. Reviews in Mathematical Physics, 10, 1-46. https://dx.doi.org/10.1142/S0129055X98000021
MLA:
Schulz-Baldes, Hermann, and Jean Bellissard. "Anomalous transport: a mathematical framework." Reviews in Mathematical Physics 10 (1998): 1-46.
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