Deterministic Weak Localization in Periodic Structures

Details Deterministic Weak Localization in Periodic Structures Deterministic Weak Localization in Periodic Structures

2005-03-14

arxiv.org/abs/cond-mat/0503333v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.95.246601

The weak localization is found for perfect periodic structures exhibiting deterministic classical diffusion. In particular, the velocity autocorrelation function develops a universal quantum power law decay at 4 times Ehrenfest time, following the classical stretched-exponential type decay. Such deterministic weak localization is robust against weak enough randomness (e.g., quantum impurities). In the 1D and 2D cases, we argue that at the quantum limit states localized in the Bravis cell are turned into Bloch states by quantum tunnelling.

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