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APS » Journals » Phys. Rev. Lett. » Volume 95 » Issue 24
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Phys. Rev. Lett. 95, 246601 (2005) [4 pages]

Deterministic Weak Localization in Periodic Structures

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C. Tian1,2 and A. Larkin1,2,3
1Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
2William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
3L. D. Landau Institute for Theoretical Physics, Moscow 117940, Russia

Received 14 March 2005; published 6 December 2005

In some perfect periodic structures classical motion exhibits deterministic diffusion. For such systems we present the weak localization theory. As a manifestation for the velocity autocorrelation function a universal power law decay is predicted to appear at four Ehrenfest times. This deterministic weak localization is robust against weak quenched disorders, which may be confirmed by coherent backscattering measurements of periodic photonic crystals.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.246601
DOI:
10.1103/PhysRevLett.95.246601
PACS:
72.15.Rn, 05.45.Mt, 73.20.Fz
 
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