Superconducting single-electron transistor and the phi-modulation of supercurrent
arXiv:cond-mat/0203440
Abstract
An analytical expression for the supercurrent of a superconducting single-electron transistor (SSET) is derived. The derivation is based on analogy between the model Hamiltonian for E_J>E_C and a discrete, one-dimensional harmonic oscillator (1DDHO). The resulting supercurrent is nearly identical to the supercurrent obtained from a continuous harmonic oscillator Hamiltonian.
1 page, a simple derivation of a nice result which is not necessarily new