Between a metal and an insulator: the critical state of the Anderson transition

Details Between a metal and an insulator: the critical state of the Anderson transition Between a metal and an insulator: the critical state of the Anderson transition

2010-05-10

arxiv.org/abs/1005.1540v1

Physical Review Letterss 105, 9 (2010) 090601

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.105.090601

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the time-evolution of an initially localized wavepacket and show that it displays at the critical point a scaling invariance characteristic of this second-order phase transition. The shape of the momentum distribution at the critical point is found to be in excellent agreement with the analytical form deduced from self-consistent theory of localization.

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