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IEEE Transactions on Applied Superconductivity

Noise of superconductor/normal metal/superconductor mixer based on low voltage negative differential resistance effect

Yuri A. Gorelov, R. Nicolsky

Published Jun 1, 1999• 2 citations
Publisher

Abstract

The conversion efficiency was calculated for some type of high-T/sub c/ superconducting junctions, which have negative derivative on current-voltage characteristics. This distinguishing feature can be explained by Andreev reflections in superconductor/normal metal boundaries. In this work it is analyzed a combination of the theoretical predictions of noise, based on noise correlation matrix of the mixer model, and theory of Likharev-Semenov for the thermal noise. The conversion gain is possible in SNS mixers in spite of noise in negative derivative region.

DOI
10.1109/77.784015

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The conversion efficiency was calculated for some type of high-T/sub c/ superconducting junctions, which have negative derivative on current-voltage characteristics. This distinguishing feature can be explained by Andreev reflections in superconductor/normal metal boundaries. In this work it is analyzed a combination of the theoretical predictions of noise, based on noise correlation matrix of the mixer model, and theory of Likharev-Semenov for the thermal noise. The conversion gain is possible in SNS mixers in spite of noise in negative derivative region.
We report signal amplification and harmonic multiplication processes based on the nonlinear current-voltage characteristics (CVC) displayed by superconductor-normal metal-superconductor (SNS) junctions. Such junctions may exhibit a negative differential resistance at low voltages, the so called low-voltage-negative-differential-resistance (LVNDR) effect. This effect is due to the quantum mechanical multiple Andreev reflection mechanism in very clean systems and is stable against a bias voltage. Therefore, it is in principle possible to use these junctions as an active element in a variety of circuit applications such as oscillators, amplifiers or mixers, in the microwave and millimeter-wave range.
We design a millimeter-wave heterodyne receiver using Superconductor-Normal metal-Superconductor (SNS) junction. We simulate its Current-Voltage Characteristics (CVC) as a function of its relevant physical parameters. Performing computer simulations, we use the negative derivative range of its CVC to calculate the conversion gain and reflectivity coefficients of the proposed device. These parameters show that it should be possible to increase the sensitivity of the SNS mixer and a reflection parametric amplifier may be feasible.
We have measured the noise of YBa2Cu3O7−δ superconductor-normal-superconductor (SNS) junctions whose high normal-state resistances and characteristic frequencies make them suitable for THz frequency mixers. By directly measuring the 1 GHz power spectral density delivered to a low-noise 50 Ω radiometer system, the noise could be measured over a wide range of dc voltage and temperature, without complications due to 1/f noise, and without invoking any specific model. At a physical temperature of 4 K, the lowest noise junction had an available noise temperature of 31±2 K, corresponding to an effective noise temperature of the normal resistance of 9 K. The effective noise temperature of the normal resistance is approximately equal to the physical temperature at high temperatures, but approaches a limiting value at low temperatures, implying an excess current noise of unknown origin.
We have studied negative-resistance mixers both theoretically and experimentally. The current carried by the bound quasi-particles in the N-region of a mesoscopic SNS weak-link has a dc and cosine components. Current transport in the SNS weak-links is affected by bias-voltages in many experiments. The I-V curves often show complex structures including negative differential resistance which cannot be understood by the simple RSJ model. Supercurrent is directly affected both by the bias voltage and the density of states at the energy gap of superconductor. The supercurrent by the Multiple-Andreev-Reflection is considerably changed across subharmonic gap voltages because of the singularity of the density of state of superconductor near the energy gap. We have done mixer experiment of SNS weak-links and have observed IF peaks at subgap voltages which are caused by the negative differential resistance.
High-Tcsuperconducting (HTS) harmonic mixers are attractive frontends for terahertz wireless communication and sensing applications. However, the investigation of HTS harmonic mixers has long been hindered by the lack of effective theoretical method in device modeling. This article presents a modeling approach for analyzing the noise and conversion properties of HTS harmonic mixers. By quantitively analyzing the contribution of the parasitic components to frequency conversion, a parasitics-selection based equivalent circuit model is built with the architecture complexity reduced to a six-port network. Besides, a fast hybrid-solution method that combines the single-tone current excitation and perturbation-derivation processing techniques, is developed for efficiently calculating the conversion impedance matrix for harmonic mixing. Detailed derivations are then carried out to acquire the semianalytic expressions of noise temperature and conversion gain after solving the noise correlation matrix for harmonic mixing. The presented modeling method has been verified by the fourth harmonic mixing experiments for a dual-band antenna-coupled HTS Josephson-junction mixer module. The measured and simulated results are in good agreement in terms of the noise temperature and conversion gain as well as their dependance on dc biasing, local oscillator pumping, and operating temperatures. The results have validated the effectiveness of the presented modeling method for analyzing the properties of HTS Josephson junction mixers.
A Superconducting - Normal metal - Superconducting junction (SNS junction) may exhibit a Low Voltage Negative Differential Resistance (LVNDR) effect over part of its Current Voltage Characteristic (CVC). As the LVNDR effect is stable against a bias voltage at this CVC range, it should be possible to combine a SNS junction with conventional electronic circuits to obtain electronic devices such as mixers, amplifiers and oscillators. Making use of this remarkable effect, we show tliat an amplifier may be feasible by assembling a simple voltage divider made up of a SNS junction in series witli a resistor. The amplifier circuit includes an adjustable DC voltage supply (the bias voltage) and an AC signal source with a given voltage. The SNS junction is connected in series with a resistor R. Choosing values of the load resistance R approximately equal to the module of the negative differential resistance (dV/dI), at the bias voltage, we may obtain large gains in this amplifier device. In order to get an oscillator, the SNS junction should be connected to a RLC tank circuit with a bias voltage adjusted in the range of the LVNDR region of its CVC. A power output of the order of one microwatt may be easily obtained.