Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.076401
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Funding
- U.S. DOE [DE-AC02-06CH11357]
- NSF-CCF [1017244]
- DFG
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [1017244] Funding Source: National Science Foundation
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We discuss quantum propagation of dipole excitations in two dimensions. This problem differs from the conventional Anderson localization due to the existence of long-range hops. We find that the critical wave functions 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 nonlinear supermatrix sigma model.
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