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arXiv · 1005.1540

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

Gabriel Lemarié·Hans Lignier·Dominique Delande·Pascal Szriftgiser·Jean Claude Garreau
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Abstract

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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Gabriel Lemarié, Hans Lignier, Dominique Delande, Pascal Szriftgiser, Jean Claude Garreau. 2010-05-10. Between a metal and an insulator: the critical state of the Anderson transition. https://doi.org/10.1103/physrevlett.105.090601

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