Nonalgebraic length dependence of transmission through a chain of barriers with a Levy spacing distribution

Details Nonalgebraic length dependence of transmission through a chain of barriers with a Levy spacing distribution Nonalgebraic length dependence of transmission through a chain of barriers with a Levy spacing distribution

2008-11-03

arxiv.org/abs/0811.0297v2

Phys. Rev. B 79, 024204 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2 figures; introduction expanded, references added

Scientific paper

10.1103/PhysRevB.79.024204

The recent realization of a "Levy glass" (a three-dimensional optical material with a Levy distribution of scattering lengths) has motivated us to analyze its one-dimensional analogue: A linear chain of barriers with independent spacings s that are Levy distributed: p(s)~1/s^(1+alpha) for s to infinity. The average spacing diverges for 0

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