II. Applications of the Josephson Effect
II. Applications of the Josephson Effect
II. Applications of the Josephson Effect
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R. Gross, A. Marx, and F. Deppe © Wal<strong>the</strong>r-Meißner-Institut (2001 - 2013)<br />
4.1.1 The Zero Voltage State<br />
AS-Chap. 4 - 7<br />
• substitution:<br />
• integration <strong>of</strong> A:<br />
closed loop total flux Φ 0 threading <strong>the</strong> loop<br />
• integration for J s :<br />
J s vanishes deep inside electrode material ∫ ΛJ s ⋅ dl vanishes<br />
• result: phase differences are not independent but linked via <strong>the</strong> fluxoid quantization:<br />
• if Φ = Φ ext : maximum possible supercurrent is obtained for sin(…) = 1 as<br />
problem solved!