A primer for resonant tunnelling

TL;DR

This paper explores resonant tunnelling through a three-well quantum model using numerical and analytical methods, focusing on polynomial and piecewise constant potentials to understand tunnelling phenomena.

Contribution

It provides a detailed analysis of resonant tunnelling in a three-well quantum system with new analytical and numerical insights into potential configurations.

Findings

Resonant tunnelling occurs at specific energy levels.

Polynomial and piecewise constant potentials exhibit distinct tunnelling behaviors.

Analytical models align well with numerical simulations.

Abstract

Resonant tunnelling is studied numerically and analytically with the help of a three-well quantum one-dimensional time-independent model. The simplest cases are considered where the three-well potential is polynomial or piecewise constant.