Piece-Wise Constant Potential Barriers Tool Demonstration: Bandstructure Formation with Finite Superlattices

By Gerhard Klimeck1, Benjamin P Haley2

1. Electrical and Computer Engineering, Purdue University, West Lafayette, IN 2. Purdue University

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Abstract

This video shows the simulation and analysis of a systems with a series of potential barriers. Several powerful analytic features of Piece-wise Constant Potential Barrier Tool (PCPBT) are demonstrated, including the following:
  • number and height of the barriers as well as the wells between barriers can easily be modified
  • A single quantum well formed by two finite barriers result in resonance transmissions.
  • A double quantum well slits the resonance peaks into two components.
  • For N barriers, one gets N-1 quantum wells, resulting in resonance transmissions with N-1 peaks.
  • The resonances peaks overlap and form a band.
  • The positions of the peaks for a dispersion that is similar to the periodic potential dispersion computed in the standard Kroenig-Penney model

Cite this work

Researchers should cite this work as follows:

  • Gerhard Klimeck; Benjamin P Haley (2009), "Piece-Wise Constant Potential Barriers Tool Demonstration: Bandstructure Formation with Finite Superlattices," https://nanohub.org/resources/6836.

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