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arXiv:1812.00732 · Low Temperature Physics

The effect of alternating current on the current states of a quantum interferometer shunted by a superconducting inductance

S. I. Link, V. P. Koverya, A. V. Krevsun, С. И. Бондаренко

Published Nov 1, 2018• 0 citations
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Abstract

The patterns of reversible changes in the critical current and discrete current states of a structure in the form of a superconducting quantum interferometer shunted by superconducting inductance, as a result of passing an alternating transport current through the structure and applying an external alternating magnetic field simultaneously with a direct transport current, was established. A new type of discrete stationary state was discovered during the transition of the interferometer to the resistive state caused by the combined action of direct and alternating transport currents.

DOI
10.1063/1.5060965

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The patterns of reversible changes in the critical current and discrete current states of a structure in the form of a superconducting quantum interferometer shunted by superconducting inductance, as a result of passing an alternating transport current through the structure and applying an external alternating magnetic field simultaneously with a direct transport current, was established. A new type of discrete stationary state was discovered during the transition of the interferometer to the resistive state caused by the combined action of direct and alternating transport currents.
We have investigated asymmetrically shunted Nb/Al-AlOx_xx​/Nb direct current (dc) superconducting quantum interference devices (SQUIDs). While keeping the total resistance RRR identical to a comparable symmetric SQUID with R−1=R1−1+R2−1R^{-1} = R_1^{-1} + R_2^{-1}R−1=R1−1​+R2−1​, we shunted only one of the two Josephson junctions with R=R1,2/2R = R_{1,2}/2R=R1,2​/2. Simulations predict that the optimum energy resolution εεε and thus also the noise performance of such an asymmetric SQUID can be 3--4 times better than that of its symmetric counterpart. Experiments at a temperature of 4.2\,K yielded ε≈32 ℏε\approx 32\,\hbarε≈32ℏ for an asymmetric SQUID with an inductance of 22 pH22\,\rm{pH}22pH. For a comparable symmetric device ε=110 ℏε= 110\,\hbarε=110ℏ was achieved, confirming our simulation results.
A study is made of the effects of quantum interference in weakly coupled superconducting systems in an external magnetic field, allowance being made for fluctuations. The circulating supercurrent is found as a function of the applied magnetic field for a weakly coupled ring when the coupling is comparable in magnitude with the thermal energy. The current--voltage characteristic for a superconducting quantum interferometer is found and it is shown that the amplitude of the steps formed in the current--voltage characteristic under the influence of external irradiation is an oscillating function of the flux of the applied magnetic field with a period equal to the flux quantum. (AIP)
The interaction between the quantum states of two circularly asymmetric superconducting aluminum rings forming figure eight, threaded by a magnetic flux and biased by an external sinusoidal ac current with zero dc component, has been investigated. Quantum oscillations in the dependence V dc(B) of the rectified dc voltage on magnetic field for these structures have been measured at different external currents and temperatures close to critical. Fourier and wavelet analyses of the function V dc(B) have revealed, along with the two fundamental ring frequencies, various combination frequencies; this fact is indicative of interaction in the structure. Deviation of the function V dc(B) from oddness with respect to the magnetic field direction has been found for the first time.
This paper reports the results of an experimental and phenomenological investigation of the static and dynamic behavior of weakly connected superconducting rings. The configuration is essentially a macroscopic superconducting ring of inductance LLL incorporating a point contact as a weak link which determines the critical supercurrent in the ring, ic{i}_{c}ic​. A phenomenological model for the stationary quantum states of the system as a function of an applied field is developed. The dynamic behavior is obtained directly from the time dependence of the applied fields. Experiments demonstrating both the stationary and the time-dependent magnetic behavior are described. The stationary behavior was obtained with a magnetometer incorporating a weakly connected ring as a sensor to measure the flux through the ring under test. The experimental results confirm the phenomenological model if the critical curr\`ent ic{i}_{c}ic​ is greater than $\frac{{\ensuremath{\Phi}}_{0}}{2L(1+\ensuremath{\gamma})}$, where ${\ensuremath{\Phi}}_{0}=\frac{h}{2e}$ is the flux quantum and $\ensuremath{\gamma}$ is a material and geometric parameter which is usually small compared to unity. In the regime $L{i}_{c}>\frac{{\ensuremath{\Phi}}_{0}}{2(1+\ensuremath{\gamma})}$, the quantum states are discrete, and the transitions between states are well defined and irreversible. If the critical current is not too large, the transitions generally occur only between adjacent states; that is, $\ensuremath{\Delta}k=\ifmmode\pm\else\textpm\fi{}1$. At large critical current, multiple quantum jumps are observed. On the other hand, if $L{i}_{c}<\frac{{\ensuremath{\Phi}}_{0}}{2(1+\ensuremath{\gamma})}$, the quantum states merge into one another continuously and reversibly. In this case the magnetic behavior inthe neighborhood of the half-quantum points is related to the depairing or gapless regime in superconductivity. Measurements of the ac properties of the weakly connected ring at 30 MHz are interpreted directly in terms of the static properties under the influence of a time-varying applied field. In fact, no qualitative corrections to the theory are expected up to frequencies of the order of the superconducting energy gap.
We report an experimental and theoretical study of various metastable states of a superconducting loop including a Josephson junction (a single-junction superconducting quantum interferometer). In the experiment, the metastable states manifest themselves by sharp drops in the magnetic-field dependence of the interferometer's response to an externally applied weak alternating bias current. At low temperatures we also observe satellite drops that appear at small values of ac bias. By making use of a mapping to the theory of nonlinear oscillator, we argue that this feature is due to the presence of nonequilibrium ac-induced libration states of the interferometer.