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arXiv · 1808.01661

Origin of resonant tunneling through single-point barriers

A. V. Zolotaryuk
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Abstract

The physical interpretation of the appearance of resonant transmission through single-point barriers is discussed on the basis of a double-layer heterostructure in the squeezing limit as both the thickness of the layers and the distance between them tend to zero simultaneously. In this limit, the electron transmission through a barrier-well structure is derived to be non-zero at certain discrete values of the system parameters forming the so-called resonance set, while beyond this set, the structure behaves as a perfectly reflecting wall. The origin of this phenomenon is shown to result from the reflection coefficients at the interfaces in the inter-layer space. The transmission amplitude is computed as a set function defined on the trihedral angle surface in a three-dimensional parameter space.

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A. V. Zolotaryuk. 2018-08-05. Origin of resonant tunneling through single-point barriers. https://doi.org/10.1016/j.physe.2018.05.023

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