Coulomb effects in a ballistic one-channel S-S-S device

Details Coulomb effects in a ballistic one-channel S-S-S device Coulomb effects in a ballistic one-channel S-S-S device

1997-12-05

arxiv.org/abs/cond-mat/9712074v1

J. Exp.Theor. Phys. 87, 349 (1998) [Zh. Eksp. Teor. Fiz. 114, 640 (1998)]

Physics

Condensed Matter

11 pages, REVTeX, 10 figures, uses epsf

Scientific paper

10.1070/PU1998v041n02ABEH000363

We develop a theory of Coulomb oscillations in superconducting devices in the limit of small charging energy $E_C \ll \Delta$. We consider a small superconducting grain of finite capacity connected to two superconducting leads by nearly ballistic single-channel quantum point contacts. The temperature is supposed to be very low, so there are no single-particle excitations on the grain. Then the behavior of the system may be described as quantum mechanics of the superconducting phase on the island. The Josephson energy as a function of this phase has two minima which become degenerate at the phase difference on the leads equal to $\pi$, the tunneling amplitude between them being controlled by the gate voltage at the grain. We find the Josephson current and its low-frequency fluctuations and predict their periodic dependence on the induced charge $Q_x=C V_g$ with period $2e$.

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