# Transmission singularities in resonant electron tunneling through double complex potential barrier

## TL;DR

This paper investigates electron tunneling through complex potential barriers, deriving expressions for resonant transmission, reflection, and absorption, and reveals that resonance occurs at a specific imaginary potential value.

## Contribution

It provides analytical expressions for resonant transmission and absorption in double complex potential barriers, highlighting the unique resonance condition related to the imaginary part.

## Key findings

- Resonant transmission probability approaches infinity at a specific imaginary potential value.
- Explicit formulas for transmission, reflection, and absorption in complex barriers.
- Resonance occurs only at one positive imaginary potential value for given barrier dimensions.

## Abstract

Tunneling of electrons through a barrier with complex potential is investigated. We focus on two cases, symmetric double rectangular barrier and double delta potential barrier, and give expressions for resonant transmission probability for both cases. Expressions for reflection amplitude and absorption are also obtained in the case of delta potential. It will be shown that for given dimensions of the potential barrier and the real part of the potential, resonant transmission probability approaches infinity for only one positive value of the imaginary part of the potential.

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Source: https://tomesphere.com/paper/1704.08890