1970
DOI: 10.1103/physrevlett.25.1096
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Current-Phase Relationship in Short Superconducting Weak Leans

Abstract: We propose a one-dimensional model of a superconducting link which is "weak" only insofar as it has a lower critical current than the superconductors on either side. According to appropriate solutions of the Ginzburg-Landau equations, the supercurrent J is a single-valued, odd function of the phase change cp across the link, which goes to zero at

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Cited by 122 publications
(67 citation statements)
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“…Nevertheless, since the order parameter in such a contact is depressed in the middle of the weak link, the current-phase relation is close to the Josephson one, and one can expect a Josephson-like behavior [6]. This assumption explains the (T c -T) 3/2 dependence of j c and its large value near T c .…”
Section: Depairing Critical Currents and Self-magnetic Field Effects mentioning
confidence: 61%
See 1 more Smart Citation
“…Nevertheless, since the order parameter in such a contact is depressed in the middle of the weak link, the current-phase relation is close to the Josephson one, and one can expect a Josephson-like behavior [6]. This assumption explains the (T c -T) 3/2 dependence of j c and its large value near T c .…”
Section: Depairing Critical Currents and Self-magnetic Field Effects mentioning
confidence: 61%
“…Large entrance fields governed by the surface barrier and exceeding H V have also been observed experimentally [5]. The properties of S-¢ S -S weak links have been investigated theoretically [6]. The authors considered a model of a weak link, ¢ S , which only differed in its properties relative to those of the bulk electrodes, S, in a shorter electron mean free path l. The weakness of the link was defined by a parameter g = c Wl /c el , c being a Gorkov universal function of the impurity parameter l/x 0 (x 0 is the BCS coherence length).…”
Section: Depairing Critical Currents and Self-magnetic Field Effects mentioning
confidence: 99%
“…Due to the Ga ions implanted in the outer layer of the Niobium during the FIB process and the consequent suppression of superconductivity in that layer [22,23], the weak links are treated as variable thickness nanobridges. The behavior of such a nanobridge is strongly dependent on the ratio l/ξ [14,17,27,28,29,30,31,32], where l is the bridge length and ξ is the coherence length of the Cooper pairs. The coherence length ξ depends also on the temperature of the bridge.…”
Section: The Kinetic Inductance Of the Nanobridgesmentioning
confidence: 99%
“…As order parameter of the phase, both the continuous and discontinuous phase transitions we choose the difference between the phase accumulated around the ring ν and phase drop across the barrier, a quantity which is experimental accessible [22]. The phase drop across the barrier, together with the current flowing through the ring, also provides the currentphase relation [22,23] -an optimal characterization of the ring-superfluid junction [24][25][26][27][28].…”
mentioning
confidence: 99%
“…With the further transformation Ψ(x, t) = e ı(mΩRx+mΩ 2 R 2 t/2)/ φ(x, t), the gauge field can be removed from the Hamiltonian which now reads as the usual nonlinear GPE for the order parameter φ(x, t) [30,31]. Following [23,27,[32][33][34][35][36], the stationary solutions of Eq. (1) can be written in terms of Jacobi Elliptical SN functions [37].…”
mentioning
confidence: 99%