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Revue de Physique Appliquée

Detection mechanisms in superconducting point contacts at frequencies of 44 times the energy gap

Donald G. McDonald, F. R. Petersen, J. D. Cupp, Bruce L. Danielson, E.G. Johnson

Published Jan 1, 1974• 1 citation
Publisher

Abstract

We have performed mixing experiments with CO2 lasers in the 9 to 11 μm wavelength band using superconducting point contacts. The experiments involve difference frequencies ranging from 19 MHz to 106 GHz. The mixing mechanism definitely appears to require the superconducting state since the beat signal amplitude decreases by as much as 60 dB as the bath temperature is raised through the superconducting transition temperature. At least three conceptually distinguishable mechanisms may be involved in the observed response. These include : (1) a conventional Josephson response, (2) a thermally modulated Josephson response, and (3) a single particle tunneling response. The usual signature of a Josephson interaction is one or more current steps in the I-V curve. Steps, the first of which should be at 67 mV, are not observed in these experiments. However, we do not feel that is a definitive test for the mixing mechanism between two external sources at such high frequencies. In fact, Werthamer's theory of tunnel junctions predicts a large response for these experiments, a response as large as that from two X-band sources, for example. It should be noted, however, that the theory assumes the junction is maintained at a fixed low temperature and whether or not that is the case depends directly on the current density at the contact. Very little is known about the current density at the present time. These experiments emphasize a fact that is usually overlooked in Josephson junction mixing experiments with an external local oscillator. If the contact or tunneling region is sufficiently small, it may be thermally modulated at difference frequencies extending into the microwave range. This effect becomes more likely with increasing applied frequencies, particularly in the infrared. Theoretical modeling for the purpose of calculating ultimate sensitivities of these devices requires a detailed consideration of thermal effects. We fully expect large mixing signals from Josephson junctions even at optical frequencies if thermal effects do not prove to be a limitation.

DOI
10.1051/rphysap:0197400901027300

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30 THz mixing experiments on high temperature superconducting Josephson junctions

Erich N. Grossman, Leila R. Vale, David A. Rudman +2 more

We have investigated YBa/sub 2/Cu/sub 3/O/sub 7-/spl delta// superconductor-normal-superconductor Josephson junctions as mixers of 30 THz radiation. We have directly observed (2nd order) difference frequencies from 10 MHz to 12.8 GHz between two CO/sub 2/ laser lines. Applying a third microwave signal to the junction, we have observed CO/sub 2/ laser difference frequencies up to 27 GHz. The d.c. bias dependence of the difference frequency signal, as well as other evidence, suggests two distinct mixing mechanisms: hot-electron mixing in the junction banks at high d.c. biases, and bolometric Josephson mixing at low d.c. biases. The latter is the first observation of Josephson mixing at CO/sub 2/ laser frequencies in high-T/sub c/ junctions. The Josephson mixing has generated observable mixing products up to 6th order.>

IEEE Transactions on Applied Superconductivity•Jun 1, 1995•12 citations
We have performed mixing experiments with CO2 lasers in the 9 to 11 μm wavelength band using superconducting point contacts. The experiments involve difference frequencies ranging from 19 MHz to 106 GHz. The mixing mechanism definitely appears to require the superconducting state since the beat signal amplitude decreases by as much as 60 dB as the bath temperature is raised through the superconducting transition temperature. At least three conceptually distinguishable mechanisms may be involved in the observed response. These include : (1) a conventional Josephson response, (2) a thermally modulated Josephson response, and (3) a single particle tunneling response. The usual signature of a Josephson interaction is one or more current steps in the I-V curve. Steps, the first of which should be at 67 mV, are not observed in these experiments. However, we do not feel that is a definitive test for the mixing mechanism between two external sources at such high frequencies. In fact, Werthamer's theory of tunnel junctions predicts a large response for these experiments, a response as large as that from two X-band sources, for example. It should be noted, however, that the theory assumes the junction is maintained at a fixed low temperature and whether or not that is the case depends directly on the current density at the contact. Very little is known about the current density at the present time. These experiments emphasize a fact that is usually overlooked in Josephson junction mixing experiments with an external local oscillator. If the contact or tunneling region is sufficiently small, it may be thermally modulated at difference frequencies extending into the microwave range. This effect becomes more likely with increasing applied frequencies, particularly in the infrared. Theoretical modeling for the purpose of calculating ultimate sensitivities of these devices requires a detailed consideration of thermal effects. We fully expect large mixing signals from Josephson junctions even at optical frequencies if thermal effects do not prove to be a limitation.
The Josephson frequency conversion in the millimeter and submillimeter wave region is studied with superconducting Nb-Nb point contact junctions at 4.2 K, using the contact both as the local oscillator and the mixer with intermediate frequencies of 0.1 and 9.2 GHz. Frequency conversion signals are only detected in the latter case with a microwave receiver at 9.2 GHz in a range of Josephson frequencies between 145 and 1 600 GHz. The experiments with intermediate frequency fi of 0.1 GHz indicate for this small value of f i that the observed signals are not related to frequency conversion but noise effects. An analysis of the frequency conversion mechanism in a Josephson junction operated as an oscillator-mixer is proposed which includes the noise effects and also the feedback effects induced in a junction driven by a constant current source. We have then investigated the noise properties up to 450 GHz of superconducting point-contacts using the junction as an oscillator-mixer where the Josephson current is mixed with harmonics of an externally applied signal. The emitted intermediate frequency is detected at 9.2 GHz and its linewidth is measured. In the very high frequency range the dc quasiparticle current dominates in a Josephson weak-link and we compare the corresponding theoretical linewidth calculated by Scalapino with our experimental results.
Microwave superconducting mixers operating at 10–13 GHz utilizing Josephson junctions have been investigated analytically and experimentally. Measurements on mixer sensitivity were carried out at 13 GHz using waveguide-mounted experimental point-contact Josephson junctions at 4.2 K. Results showed sensitivities of −90 dBm/MHz (10−18 W/Hz) which included mismatch losses encountered in the waveguide structure. The Josephson junction mixing mechanism was analyzed on the basis of small-signal modulation of the staircase like dc I-V characteristics. It was shown that a small-signal microwave excitation results in an ac lateral shift of the regions between steps, such that: (a) Optimum Josephson mixing occurs halfway between steps. (b) Mixing occurs between all steps with maximum conversion efficiency between the zero and first step. (c) Predicted low conversion loss and possibly internal gain for a matched mixer. The analytical model was simulated by a digital computer and the behavior of the Josephson mixer predicted for various conditions of excitation. The model chosen for the analysis and the computer simulation is based on the simplest assumptions concerning bulk-formed Josephson junctions. In the laboratory an external local oscillator set 60 MHz below the signal frequency was used to induce the well-known step structure in the dc I-V characteristic of the point-contact Josephson junction. Mixing of the Lo and signal was found to occur between constant voltage steps in agreement with both analysis and computer simulation. The correctness of the model is demonstrated by the agreement between the theory and experiment.
Experiments are reported in which two millimeter-wave signals incident on point-contact Josephson junctions produced changes in the junction dc voltage versus current characteristic and an intermediate frequency output whose amplitude depended sensitively on both junction bias and applied power. Equations are derived, based on Josephson's phenomenological equations, for the Josephson current in a junction exposed to two applied rf signals. When the applied signals differ appreciably in frequency, additional constant-voltage steps in the $V\ensuremath{-}I$ curve are predicted which are spaced at the difference frequency. These steps have been observed in experiments employing sources at 64 and 72 Gc/sec. Results of mixing experiments utilizing two sources nearly equal in frequency are reported at 23 and at 72 Gc/sec. In this case the two waves beat together and are equivalent in their effect to a single signal amplitude modulated at the difference frequency. Also explained on the same basis are experiments in which the third harmonic of a signal at 24 Gc/sec mixed with a signal at 72 Gc/sec. These results demonstrate the existence of the Josephson mixing mechanism as opposed to classical nonlinear mixing, and they show that it is operative at microwave and millimeter-wave frequencies over a wide range of power.
The Josephson frequency conversion in the millimeter and submillimeter wave region is studied with superconducting Nb–Nb point-contact junctions at 4.2 °K, using the contact both as the local oscillator and the mixer with intermediate frequencies of 0.1, 0.3, and 9.2 GHz. The point contact is in a nonresonant structure and fed by a constant current source: neither a strong rf coupling of the contact with a cavity nor a stabilizing shunt resistance was proved necessary. The direct observation of frequency conversion was performed with a microwave receiver at 9.2 GHz in a range of Josephson frequencies between 145 and 1600 GHz. The experiments with intermediate frequencies fi of 0.1 and 0.3 GHz indicate that conventional frequency conversion does not occur but that the observed signals are related to noise effects. An analysis of the frequency conversion mechanism in a Josephson junction operated as an oscillator-mixer is proposed which includes the noise effects and also the feedback effects induced in a junction driven by a constant current source. The results show that low-frequency current components are induced in the junction, which can give large spurious signals when small i.f. are used.
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.
We have investigated YBa/sub 2/Cu/sub 3/O/sub 7-/spl delta// superconductor-normal-superconductor Josephson junctions as mixers of 30 THz radiation. We have directly observed (2nd order) difference frequencies from 10 MHz to 12.8 GHz between two CO/sub 2/ laser lines. Applying a third microwave signal to the junction, we have observed CO/sub 2/ laser difference frequencies up to 27 GHz. The d.c. bias dependence of the difference frequency signal, as well as other evidence, suggests two distinct mixing mechanisms: hot-electron mixing in the junction banks at high d.c. biases, and bolometric Josephson mixing at low d.c. biases. The latter is the first observation of Josephson mixing at CO/sub 2/ laser frequencies in high-T/sub c/ junctions. The Josephson mixing has generated observable mixing products up to 6th order.>