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Journal of Applied Physics

Magnetic states of a rf superconducting quantum interference device containing a double-barrier Josephson junction

Roberto De Luca

Published Aug 15, 2010• 3 citations
Publisher

Abstract

The magnetic properties of a rf superconducting quantum interference device containing one overdamped double-barrier junction are studied. The effective nonsinusoidal expression for the current-phase relation with an additional half harmonic term is used for the double-barrier junction. Devices with inhomogeneous double-barrier junctions show a characteristic feature: for fixed and not too high superconducting loop inductance values, transition from irreversible to reversible magnetic behavior can be induced by increasing the difference in the Josephson coupling of the two junctions.

DOI
10.1063/1.3478743

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The magnetic properties of a rf superconducting quantum interference device containing one overdamped double-barrier junction are studied. The effective nonsinusoidal expression for the current-phase relation with an additional half harmonic term is used for the double-barrier junction. Devices with inhomogeneous double-barrier junctions show a characteristic feature: for fixed and not too high superconducting loop inductance values, transition from irreversible to reversible magnetic behavior can be induced by increasing the difference in the Josephson coupling of the two junctions.
The Hamiltonian of a superconducting thin loop interrupted by a double-barrier Josephson junction is derived. The parameter ε, which takes account of the difference in the Josephson coupling of the two single junctions in the SISIS structure, is seen to allow variation of the energy gap ΔE01 between the ground state and the first excited flux number state of the system. An additional parameter γ, describing the coupling between the outer electrodes of the double-barrier Josephson junction, is introduced. Persistent currents in the system are studied in terms of the usual parameter α, representing the ratio between the Josephson energy and the magnetic energy, and of the externally applied flux.
The signal properties of radio frequency (rf) (SQUIDs) based on YBa2Cu3O7−x symmetrical 30° and asymmetrical 45° grain-boundary Josephson junctions have been experimentally investigated. Both amplitude as well as phase detection have been used to read out the SQUID output signal. Comparison of the SQUID output signals to each other is given. It is shown that peculiarities of the rf SQUID response of SQUIDs with a 45° grain-boundary Josephson junction are consistent with an unconventional current-phase relation (CPR) of the Josephson junction, namely, the CPR contains a finite amplitude of the second harmonic.
We have calculated the dc Josephson current through multi-barrier superconducting junctions (MBSJs). The current-phase relationship of the MBSJs has been obtained numerically from the probability amplitude of the process in which an electron-like quasiparticle is reflected as a hole-like quasiparticle (Andreev reflection) in the junctions. Moreover, using the obtained current-phase relationship of MBSJs, the characteristics of superconducting quantum interference devices containing MBSJs have also been analyzed.
By means of perturbation analysis, assuming small inductance values, the dynamical equations for the gauge-invariant superconducting phase differences in a dc superconducting quantum interference device (SQUID), containing junctions with different resistive and coupling parameters, are reduced to a single nonlinear differential equation. The resulting effective reduced potential shows that degenerate phase states exist for half-integer values of the applied flux number ${\ensuremath{\Psi}}_{\mathit{ex}}$ and for zero bias current. It can be also shown that, by small variations of the externally applied flux, this degeneracy can be removed and, for sufficiently low values of the SQUID parameter $\ensuremath{\beta}$, different magnetic states, characterized by opposite magnetic moments, can be reversibly realized.