A comparative study of some models of incoherence at the mesoscopic scale

Details A comparative study of some models of incoherence at the mesoscopic scale A comparative study of some models of incoherence at the mesoscopic scale

2002-09-18

arxiv.org/abs/cond-mat/0209438v1

Int. J. Mod. Phys. B 17, 4733 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 9 figures

Scientific paper

10.1142/S0217979203022878

The pre-existing literature on phenomena at the mesoscopic scale is concerned among other things with phase coherent transport. Phase coherent transport dominates at very low temperatures. With increase in temperature, as the system size becomes comparable to the inelastic mean free path phase incoherence sets in. This incoherence further leads to dephasing, and as a consequence purely quantum effects in electron transport give way to classical macroscopic behavior. In this work we consider two distinct phenomenological models of incoherent transport, the Coherent Absorption and Wave Attenuation models. We reveal some physical problems in the Coherent Absorption model as opposed to the Wave Attenuation model. We also compare our proposed model with experiments in case of the much studied peak to valley ratios in resonant tunneling diodes, magneto-conductance oscillations and Fano resonances in case of Aharonov-Bohm rings.

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