Quantitative analysis of Josephson-quasiparticle current in superconducting single-electron transistors

We have investigated Josephson-quasiparticle (JQP) current in superconducting single-electron transistors in which charging energy E(C) was larger than superconducting gap energy Delta and junction resistances were much larger than R(Q)=h/4e(2). We found that not only the shapes of the JQP peaks but also their absolute height were reproduced quantitatively with a theory by Averin and Aleshkin using a Josephson energy of Ambegaokar Baratoff's value.