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#### Scale-dependent correction to the dynamical conductivity of a disordered system at unitary symmetry

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##### Citation

Ostrovsky, P., Nakayama, T., Muttalib, K. A., & Wölfle, P. (2013). Scale-dependent
correction to the dynamical conductivity of a disordered system at unitary symmetry.* New Journal of
Physics,* *15*: 055010.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C6A5-8

##### 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 nonlinear sigma models, those results cannot 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) proportional to vertical bar omega vertical bar, which at low frequency is much larger than the omega(2) correction derived from the Drude law. We also determine the leading correction to the renormalization group beta-function in the metallic phase at d = 3.