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Josephson junctions in a magnetic field: Insights from coupled pendula
1.Unlike normal metals, the state of an ideal superconductor at zero temperature can be characterized by a macroscopic wave function with a well-defined phase.
2.A. Barone and G. Paternó, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
3.T. P. Orlando and K. A. Delin, Foundations of Applied Superconductivity (Addison–Wesley, Reading, MA, 1991).
4.P. W. Anderson, in Weak Superconductivity: The Josephson Tunelling Effect, Lectures on the Many-Body Problem, the Fifth International School of Physics, Ravello, Italy, 1963, edited by E. Caianello (Academic, New York, 1964), Vol. 2, p. 115.
5.A. Marchenkov, R. W. Simmons, A. Loshak, J. C. Davis, and R. E. Packard, “The discovery of bi-stability in superfluid weak links,” Phys. Rev. Lett. 83, 3860–3863 (1999).
6.T. A. , “Equivalent circuits and analogues of the Josephson effect,” NASI76, 125–187 (1976).
7.See, for example, Eq. (8.68) for two junctions in Ref. 3.
8.See, for example, Eq. (8.69) for two junctions in Ref. 3.
9.A necessary physical assumption in this case is that the sum of the masses has some finite value, It is equivalent to assuming that we can split a rectangular Josephson junction into an infinite set of small junctions in parallel, taking into account that the Josephson critical current of the whole system remains finite.
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