Back to Search
Start Over
Scale-dependent correction to the dynamical conductivity of a disordered system at unitary symmetry
- Publication Year :
- 2012
-
Abstract
- Anderson localization has been studied extensively for more than half a century. However, while our understanding has been greatly enhanced by calculations based on a small epsilon expansion in d = 2 + epsilon dimensions in the framework of non-linear sigma models, those results can not be safely extrapolated to d = 3. Here we calculate the leading scale-dependent correction to the frequency-dependent conductivity sigma(omega) in dimensions d <= 3. At d = 3 we find a leading correction Re{sigma(omega)} ~ |omega|, which at low frequency is much larger than the omega^2 correction deriving from the Drude law. We also determine the leading correction to the renormalization group beta-function in the metallic phase at d = 3.<br />Comment: 5 pages, 3 figures
- Subjects :
- Condensed Matter - Disordered Systems and Neural Networks
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1212.3218
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1367-2630/15/5/055010