Feynman Paradox about the Josephson effect and a sawtooth current in the double junction
arxiv(2024)
摘要
We revisit the Feynman approach to the Josephson effect, which employs a pair
of linear coupling equations for its modeling. It is found that while the exact
solutions can account for the AC Josephson effect when the coupling strength is
significantly less than the voltage, they fail to produce the DC Josephson
effect in any practical scenario. To address this fundamental discrepancy, we
derive the coupled Ginzburg-Landau (GL) equations for two interconnected
superconductors based on BCS theory. These equations reveal that the nonlinear
coupling, which is overlooked in the Feynman method, is crucial in describing
the spontaneous symmetry breaking in superconductors, a critical factor for
achieving the DC Josephson effect. When the coupled GL equations are applied to
a double junction, a sawtooth current pattern emerges, a result unattainable
via the Feynman approach.
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