How nonlinear interactions challenge the three-dimensional Anderson transition
arXiv:1401.1038 · doi:10.1103/PhysRevLett.112.170603
Abstract
In disordered systems, our present understanding of the Anderson transition is hampered by the possible presence of interactions between particles. We demonstrate that in boson gases, even weak interactions deeply alter the very nature of the Anderson transition. While there still exists a critical point in the system, below that point a novel phase appears, displaying a new critical exponent, subdiffusive transport and a breakdown of the one-parameter scaling description of Anderson localization.
5 pages, 4 figures
References in corpus (6)
- Localization of ultrasound in a three-dimensional elastic network
- Destruction of Anderson localization by a weak nonlinearity
- Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
- Delocalization induced by nonlinearity in systems with disorder
- Anderson localization of a Bose-Einstein condensate in a 3D random potential
- Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
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