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HomeResourcesAnimationsPiece-Wise Constant Potential Barriers Tool Demonstration: Bandstructure Formation with Finite Superlattices › About

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

Category Animations
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," http://nanohub.org/resources/6836.

Tags
  1. ABACUS 1
  2. band structure 1
  3. nanoelectronics 1
  4. quantum mechanics 1
  5. quantum transport 1
  6. reflection coefficient 1
  7. Superlattices 1
  8. tool demonstration 1
  9. transmission coefficient 1
  10. tunneling 1

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