Phase space signatures of the Anderson transition

Details Phase space signatures of the Anderson transition Phase space signatures of the Anderson transition

2003-03-14

arxiv.org/abs/cond-mat/0303274v1

Phys. Rev. B 68, 085103 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 7 figures, RevTeX4

Scientific paper

10.1103/PhysRevB.68.085103

We use the inverse participation ratio based on the Husimi function to perform a phase space analysis of the Anderson model in one, two, and three dimensions. Important features of the quantum states remain observable in phase space in the large system size limit, while they would be lost in a real or momentum space description. From perturbative approaches in the limits of weak and strong disorder, we find that the appearance of a delocalization-localization transition is connected to the coupling, by a weak potential, of momentum eigenstates which are far apart in momentum space. This is consistent with recent results obtained for the Aubry-Andre model and provides a novel view on the metal-insulator transition.

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