Master equation for the Wigner function of normal and superconducting single-electron transistors
Sangchul Oh, KyungWan Park, Mincheol Shin, Seongjae Lee, El-Hang Lee
DOI 10.1103/PhysRevB.57.2368 · Physical Review B
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Abstract
We have derived a master equation for the Wigner function that describes charge dynamics of normal and superconducting single-electron transistors in a unified way. In the case of a normal single-electron transistor, the master equation for the Wigner function is equivalent to that of the so-called orthodox theory. For a superconducting single-electron transistor, the tunneling rates consist of three parts: quasiparticle tunneling, quasiparticle-pair tunneling, and Cooper-pair tunneling. Conditions of the Coulomb blockade of quasiparticle tunneling are examined.
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