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:
- quantum mechanics
- quantum transport
- reflection coefficient
- transmission coefficient
- band structure
- tool demonstration