Understanding Coulomb Staircase Properties

[petr1243]

I'm having trouble understanding the properties of the "coulomb staircase" using the average integer charge: <n> as a function of the gate charge. How would we go about getting this graph?

http://www-drecam.cea.fr/drecam/spec/Pres/Quantro/Qsite/projects/qip.htm

It will be the last graph under the headline: "single cooper pair box".

Thank you for your time.

 

[f95toli]

You have the Hamiltonian just to the right of the picture. In order to get the energy diagram as a function of Ng you need to solve the Schrödinger equation using this Hamiltonian.

You can find more information in e.g. Tinkhams "Introduction to Superconductivity".