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 

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