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Revue de Physique Appliquée

On the use of low barrier potential materials to improve high frequency coupling to Josephson tunnel junctions

Ph. Cardinne, J.E. Nordman, M. Renard

Published Jan 1, 1974• 14 citations
Publisher

Abstract

Improved high frequency coupling to Josephson tunneling junctions must involve impedance transformation techniques or the fabrication of junctions with more appropriate impedance values. Two kinds of calculations about efficiency of junction coupling with a cavity, one with an antenna and another with an inductive loop show clearly the importance of the term Ic r0/Γ where Γ is the capacitance, Ic the critical current and r0 a dimension related to the size of the junction. Several ways may be proposed to increase this « figure of merit ». It appears that, when considering only tunneling phenomena, there is an advantage to decrease the barrier potential height. A number of people have employed semiconductors as barriers because it is possible to use either a naturally narrow forbidden band, or to use the metal-semiconductor interface properties, to get small barrier heights. This paper is devoted to a review of experimental works on junctions using low barrier materials. Attempts have been made with various deposited materials such as Te, PbTe, CdS, CdSe, Ge, InSb, etc., ... But at the present time these trials have not yet been clearly successful. Many problems are related to the use of these materials, some of the more important being : presence of surface states, variation of doping with time, diffusion near the interface, pinholes and amorphous-polycrystalline behaviour. Moreover, these various phenomena can lead to several possible mechanisms for explaining conduction in superconductor-semiconductor-superconductor sandwiches. Some of these mechanisms are not compatible with good high frequency coupling.

DOI
10.1051/rphysap:0197400901016700

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Improved high frequency coupling to Josephson tunneling junctions must involve impedance transformation techniques or the fabrication of junctions with more appropriate impedance values. Two kinds of calculations about efficiency of junction coupling with a cavity, one with an antenna and another with an inductive loop show clearly the importance of the term Ic r0/Γ where Γ is the capacitance, Ic the critical current and r0 a dimension related to the size of the junction. Several ways may be proposed to increase this « figure of merit ». It appears that, when considering only tunneling phenomena, there is an advantage to decrease the barrier potential height. A number of people have employed semiconductors as barriers because it is possible to use either a naturally narrow forbidden band, or to use the metal-semiconductor interface properties, to get small barrier heights. This paper is devoted to a review of experimental works on junctions using low barrier materials. Attempts have been made with various deposited materials such as Te, PbTe, CdS, CdSe, Ge, InSb, etc., ... But at the present time these trials have not yet been clearly successful. Many problems are related to the use of these materials, some of the more important being : presence of surface states, variation of doping with time, diffusion near the interface, pinholes and amorphous-polycrystalline behaviour. Moreover, these various phenomena can lead to several possible mechanisms for explaining conduction in superconductor-semiconductor-superconductor sandwiches. Some of these mechanisms are not compatible with good high frequency coupling.
This article considers Josephson junction barriers, focusing on barriers made from insulators, metals, semiconductors, magnets, and nanowires. The main characteristic of Josephson junctions is the local reduction or even suppression of the critical current in the barrier. These barriers affect the static and dynamics properties of Josephson junctions, including coupling strength, ground state, phase damping, and tunability of the critical current. The article first provides an overview of the fundamental physics of Josephson junctions, with particular emphasis on the Josephson effect, before describing the properties of two coupled superconductors. It then discusses tunnel barriers, metallic barriers, semiconducting barriers, and magnetic barriers.
We have investigated high-frequency limits of superconducting quasiparticle mixers from experiments on Al/Al-oxide-In/Al (or Ag) tunnel junctions, and from calculations based on Tucker’s quantum theory of mixing (QTM). The small superconducting energy gap of Al enabled us to study mixer performance at around the junction gap frequency, fg =(Δ1+Δ2)/h≊87 GHz, of superconductor-insulator-superconductor (SIS) mixers, and at twice the junction gap frequency for S-I-normal metal (SIN) mixers ( fg =Δ1/h) with available millimeter wave sources. Because of the low transition temperature of Al (Tc ≊1.3 K), a dilution refrigerator was used for providing temperatures below 1 K. The best mixer conversion efficiency was obtained for a low-resistance (∼34 Ω) six-junction array SIS mixer operated at f/fg ≊1 (in this case 73 GHz). The coupled single sideband conversion gain (with no image rejection) was −13.8 dB and the available conversion gain was estimated to −8.4 dB. Complicating nonequilibrium phenomena made it difficult to compare the performance of these relatively high-current-density mixers to the QTM. However, good agreement between calculated and corresponding measured conversion efficiencies and dynamic resistance values was obtained for the low-current-density mixers. Noise due to switching between rf-induced Josephson steps and interference from Josephson mixing could be quenched by a magnetic field. Several high-frequency limits are considered in this paper (such as Josephson switching noise, nonequilibrium phenomena, pair breaking, and energy gap limitations). Our results indicate that submillimeter wave SIS mixer receivers are likely to perform well, at least up to their gap frequencies, i.e., the THz region for large gap superconductors. Our QTM calculations showed that conversion gain larger than unity should be possible up to twice the gap frequency. Above this frequency the conversion loss will increase rapidly.
Unexpected partly dramatic temperature dependences were registered for the basic tunnel parameters used to characterize a Josephson junction. Measurements of the magnetic field variation of the microwave-power reflection, i.e., a mapping of the Josephson plasma resonance, enabled determinations of the rf small-voltage resistance RJ, the cosφ amplitude ζ, and the effective junction capacitance C in both Pb-O-Pb and PbTl-O-Pb junctions. The uncertainties in the parameter values are large, particularly in the low temperature values of ζ, for which we confirm earlier estimates of ζ, but as the superconducting transition temperature Tc is approached, ζ increases rapidly and goes through a positive maximum close to +1 before it decreases towards zero at Tc. Also, RJ displays a pronounced maximum in the same temperature interval; it decreases rapidly within a narrow range below the temperature of the maximum before it again increases slowly well below Tc. The location in temperature for the two maxima depends upon the barrier via the critical current density, but seems to be material independent. Well below Tc, the ratios of RJ to the normal-state tunnel resistance are also affected by the barrier transmission. These latter properties seem hard to explain within a model based only on the relaxation of the order parameters in the superconductors. A considerable decrease in C close to Tc can be explained by temperature-dependent surface losses in the junction electrodes. The Q-value associated with these could be determined as a function of temperature. In accordance with previous measurements, the Josephson current IJ is reduced at low temperature in small high-resistance tunnel junctions. Smaller deviations in IJ from theoretical estimates can be explained by strong coupling effects.
This thesis is devoted to some selected applications of the Josephson junction oscillator. The initial work was performed using low-Tc Nb/PbBi tunnel junctions, while the later parts were done using the recently developed high-Tc YBa2Cu3O7 (YBCO) Josephson junctions. The latter junctions have raised the hope for Josephson oscillator applications with substantially increased operation frequencies and temperatures. In the first part of this thesis the use of inductor-resistor (LR) shunted tunnel junctions in arrays of phase locked Josephson junction oscillators was investigated. The LR shunt is designed to resonate out the intrinsic tunnel junction capacitance at the operation frequency. We show that LR shunted tunnel junctions have important advantages compared to the commonly used resistively shunted tunnel junctions; i.e. narrower linewidths, higher impedance of the junctions and that they can be optimized also at frequencies higher than about 100 GHz. Design rules for stable, non-chaotic oscillations with optimized output power were developed. Measurements on a non- optimized circuit show that oscillator arrays of LR shunted tunnel junctions can generate substantial power, ~10 nW to a 300 .OMEGA. load at 390 GHz from a 10 junction array. In the second part the phase locking of YBCO Josephson junctions was clearly demonstrated for the first time. Mutual phase locking of two junctions was observed at frequencies between 0.2 and 1 THz, and was only limited by the bandwidth of the coupling circuit. The locking was in good agreement with simulations based on the resistively shunted junction model. The interaction of a single Josephson junction with a 5 junction oscillator array was also measured at frequencies up to about 350 GHz, but was substantially reduced by the high losses of the coupling circuit. The YBCO Josephson junctions were found to be interesting candidates for microwave generation at frequencies approaching 1 THz and oscillator arrays to be mainly limited by the high losses of the coupling circuits at these frequencies. In the third part the interaction of YBCO Josephson junctions with integrated resonators were studied for the first time. Using a novel method, Josephson Broadband Spectroscopy (JOBS), the high frequency properties of the resonators were measured with a bandwidth of up to 1 THz and in the temperature range 4-77 K. The YBCO surface resistance (9 m.OMEGA. at 4 K and 100 GHz) was found to scale as f2 and had a temperature dependence in good agreement with the two-fluid model, modified with 18% non-pairing charge carriers. The YBCO London penetration depth was frequency independent (460 nm at 4 K) and had a temperature dependence in agreement with the two-fluid model.
The Josephson effect, as an example of a macroscopic quantum phenomenon, reveals itself in the three-layer heterostructures formed by two superconductors coupled by a weak link that usually consists of a 1-2 nm-thick insulating barrier.The traditional way of modelling such-systems' dynamics is based on an equivalent circuit that comprises three parallel elements: a pure superconducting element with a certain supercurrent-versus-Josephson phase difference dependence, a resistor R, and a capacitor C. In this short review, we analyse the practical problem of reducing the junction capacitance while maintaining or slightly impairing other characteristics.Some arguments are presented to explain why the capacitance should be suppressed and how it will affect performance of superconducting quantum interference devices (SQUIDs) and digital electronics circuits.As a solution for low-capacitance junctions, we propose a weak link made of an amorphous-silicon interlayer doped with nanoscale metallic drops between the two superconducting Mo-Re-alloy electrodes.
An understanding of the role of alloying elements in lead thin films for use as Josephson junctions was achieved, and thermally cyclable devices were made. Gold is one of the elements which strongly inhabit the movement of grain boundaries and thus prevent the growth of hillocks and whiskers on the film which would puncture the thin oxide barrier. A new technology in which thin silicon membranes supported by a surrounding frame can be used for device fabrication was developed. This includes a double-etching scheme to achieve even submicron size membranes having thickness of no more than a few hundred angstroms. We have shown that advantages can be had by fabricating Schottky and super-Schottky diodes on such membranes. Also, Josephson junctions made this way show promise of great design flexibility and may develop into the best Josephson device for mixing and detection. Two ways of making double weak superconducting links for possible use as switching elements were tested. It appears that the impedance level is lower than would be desired for that application for the dimensions used so far but fabrication by electron lithography would increase it. The semiconductor barrier is analyzed, as a possible Josephson junction switching element and itmore » appears to have some advantages. One of these is a lower Q for the junction cavity; our analysis shows about two orders of magnitude improvement in this regard over oxide-barrier junctions. (GRA)« less