Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-06-11
Physics
Condensed Matter
Disordered Systems and Neural Networks
4.2 pages
Scientific paper
We discuss quantum propagation of dipole excitations in two dimensions. This problem differs from the conventional Anderson localization due to existence of long range hops. We found that the critical wavefunctions of the dipoles always exist which manifest themselves by a scale independent diffusion constant. If the system is T-invariant the states are critical for all values of the parameters. Otherwise, there can be a "metal-insulator" transition between this "ordinary" diffusion and the Levy-flights (the diffusion constant logarithmically increasing with the scale). These results follow from the two-loop analysis of the modified non-linear supermatrix $\sigma$-model.
Aleiner Igor L.
Altshuler Boris L.
Efetov Konstantin B.
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