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Statistics of branched flow in a weak correlated random potential

Lev Kaplan
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Abstract

Recent images of electron flow through a two-dimensional electron gas (2DEG) device show branching behavior that is reproduced in numerical simulations of motion in a correlated random potential [cond-mat/0010348]. We show how such branching naturally arises from caustics in the classical flow and find a simple scaling behavior of the branching under variation of the random potential strength. Analytic results describing the statistical properties of the branching are confirmed by classical and quantum numerical tests.

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Lev Kaplan. 2002-06-26. Statistics of branched flow in a weak correlated random potential. https://doi.org/10.1103/physrevlett.89.184103

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