Non-monotonic disorder-induced enhanced tunneling

Details Non-monotonic disorder-induced enhanced tunneling Non-monotonic disorder-induced enhanced tunneling

2003-09-15

arxiv.org/abs/cond-mat/0309341v1

J. Phys. A 37 (2004) 259-271

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 1 figure

Scientific paper

10.1088/0305-4470/37/1/018

The quantum-mechanical transmission through a disordered tunnel barrier is investigated analytically in the following regime: (correlation range of the random potential) << (penetration length) << (barrier length). The mean and/or the width of the potential can either be constant, or vary slowly across the barrier. The typical transmission is found to be a non-monotonic function of the disorder strength, increasing at weak disorder, reaching a maximum in the crossover from weak to strong disorder, and decreasing at strong disorder. This work provides a quantitative analysis of the phenomenon of disorder-induced enhanced tunneling, put forward by Freilikher et al. [Phys. Rev. E {\bf 51}, 6301 (1995); B {\bf 53}, 7413 (1996)].

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