Hi,

If you really want to see the effects of an electric field or a magnetic field on a band structure, you need to construct the same thing as your quantum dot, but with translationnal symmetry in at least one direction.

Then you can see the band structure, and you can consider that adding boundaries (thus breaking your translationnal invariance) will discretize your spectrum in a certain way.

In the process, you need to make sure that your electric potential gradient respects the translationnal symmetry, which is ok if you take it to be orthogonal to your translation symmetry vector(s).

For the magnetic field, you need to find a way to include the Aharonov-Bohm geometric phase in your tight-binding model. You can look for "Peierls substitution" if you want to see how it is done.

For your information, you should note that the purpose of this mailing list is to help with issues related to Kwant, but not really related to physics itself.

Best regards,

Alexandre BERNARD