Support

Support Options

Submit a Support Ticket

 

Wish List - Tool "bsclab": Wish #20

granted

Member avatar

0 Like 0 Dislike

Gerhard Klimeck

plotting the eigenstate energies as a function of occurrance

The piece-wise constant barrier tool has the capability to plot the energy of resonance states as a function of their occurrance. That enables a simple understanding of the formation of bands and bandstructure.

This tool could benefit from the ability to have a similar plot, but within a single band. This plot would then expose the effects of confinement and the underlying bandstructure – square wells have (almost) parabolic separatios of states – parabolic wells have constant separations of states – linear curve – triangular wells have …. ????

Deviations from the ideal behavior could then be easily be interpreted as non-parabolic bandstructure effects du to the finite lattice size. Changing the effective mass or the lattice spacing in the code would expose that further.

Comments (1)

  1. Gerhard Klimeck

    – dispersion of the bound states – i.e. plot the resonance energy versus “index”, where “index” is just the number of the eigenstate. The result will show the internal energy arrangement of the system. Meaning:
  2. a square well will have a parabolic spacing of the eigenstates – this can also be derived analytically and should also be displayed ! This would be a nice comparison against an analytical solution.

    2) a parabolic well has a linear spacing of the eigenstates. Also here we should compare to the analytical solution. 3) a triangular well should have a definite spacing – I don’t remember – the solutions are analytic too, with Airy functions.

    Reply Report abuse

nanoHUB.org, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.