Low‐temperature electronic systems require electrical leads which have low electrical resistance to provide bias current Ibias without excessive voltage drop Vlead. But proper cryogenic design also requires high thermal resistance to maintain a minimal heat leak Q̇ from the hot temperature Thot to the cold temperature Tcold. By the Wiedemann‐Franz law, these requirements are in direct conflict, and the optimal configuration takes a particularly simple universal approximate form for the common case that Tcold << Thot: Q̇min/Ibias ≈ Vlead ≈ 3.6 kBThot/e. This is applied here to the cryopackaging of RSFQ superconducting circuits on a 4 K cryocooler, but is equally applicable to other cryogenic systems such as superconducting sensor arrays at low and ultra‐low temperatures.
Low‐temperature electronic systems require electrical leads which have low electrical resistance to provide bias current Ibias without excessive voltage drop Vlead. But proper cryogenic design also requires high thermal resistance to maintain a minimal heat leak Q̇ from the hot temperature Thot to the cold temperature Tcold. By the Wiedemann‐Franz law, these requirements are in direct conflict, and the optimal configuration takes a particularly simple universal approximate form for the common case that Tcold << Thot: Q̇min/Ibias ≈ Vlead ≈ 3.6 kBThot/e. This is applied here to the cryopackaging of RSFQ superconducting circuits on a 4 K cryocooler, but is equally applicable to other cryogenic systems such as superconducting sensor arrays at low and ultra‐low temperatures.
Packaging of a superconducting electronic system on a compact multistage cryocooler requires careful management of thermal loads from input and output leads, in order not to exceed the heat lift capacity of the various stages of the cooler. In particular, RSFQ systems typically require a large total bias current or greater. A general analysis of resistive wires shows that the tradeoff between heat flow and Joule heating yields a minimum heat load from optimized bias leads on a low- stage, given by , where is the thermalization temperature of the leads on the previous (hotter) stage. This is independent of the material, number, and geometry of the leads, as long as the total lead resistance is optimized. A similar tradeoff between heat flow and signal attenuation can be applied to the optimization of high-frequency input/output lines. Superconducting leads are not subject to these limitations, and can result in further reduction in heat load. Design examples are presented for an RSFQ-based radio receiver on either a two-stage or a four-stage cooler.
Weakly connected superconductors can function as very low power sensors by utilizing the coherence properties of superconductors. One configuration which has produced significant success incorporates a superconducting point contact and a small resistance element in a low-inductance superconducting circuit. When the critical supercurrent (ic) of the point contact is of the order of φ0/L, (φ0=h/2e, L=inductance of the ring), that circuit exhibits coherent quantum behavior. Used as a parametric amplifier, it has been used to measure ultralow voltages, limited by the thermal noise fluctuations in the resistance element R. The voltage sensitivity is approximated by 8kTR/φ0, where k is Boltzmann's constant and T the absolute temperature of the resistance R. We have measured 4×10−16 V across 1.7×10−10 Ω at 4.2°K with a signal-to-noise ratio approaching 10. The operation of this sensor follows from the Josephson oscillation of voltage-biased superconducting point contacts. A dc voltage V0 across the resistance of the circuit produces an oscillating current at the angular frequency ωJ=2πV0/φ0 and an oscillating voltage across the point contact at ωJ. Upon supplying an rf or microwave current at frequency ωD, the point contact mixes ωJ and ωD. Using a homodyne detector at ωD of bandwidth larger than ωJ, we can retrieve the oscillation at ωJ. Direct measurement of this frequency ωJ yields V0. Such superconducting circuits may be useful as cryogenic thermometers, as thermal radiation sensors, and in low-level spectroscopy.
Abstract Temperature sensing and control are essential in experiments running in cryocooled systems, as with the case of liquid helium-free superconducting devices. A Josephson junction as on-chip temperature sensor operated in ac provides the highest sensitivity and minimal power loading to the cryogenic environment, thanks to the noise rejection of lock-in detection. To demonstrate the advantages of on-chip sensing, we tested it with a Josephson voltage standard array in cryocooler and compared with the conventional case of a sensor on the cold surface of the refrigerator, showing that the power dissipated within the chip may further increment the device temperature up to some tenths of kelvin. An ac Josephson junction sensor is proven to be capable of directly stabilizing the temperature of the superconductive circuit from fluctuations of dissipated power during operation. Reliability issues related to flux trapping are discussed and solutions are proposed suited to different applications. Overall, on-chip control with ac Josephson temperature sensing has the advantage of avoiding the complexities in minimization of cryogenic thermal links, virtually reducing to zero the contact resistance and keeping the operating temperature of the superconductor constant, independently of instantaneous operating power.
Future development of superconductor digital and mixed-signal ICs requires extensive testing with a large number of input/output (I/O) lines for applying independent bias controls, injecting test signals, and monitoring outputs of different sub-circuits. There is a growing need for a standardized test apparatus for a variety of complex superconducting chips and multichip modules (MCMs). Such a test apparatus must support many I/O lines, be easy and cost-effective to operate, and support prolonged automated testing. Existing test apparatus include liquid He cryoprobes and cryocooled custom digital-RF systems, both of which have drawbacks. Liquid He cryoprobes with universal wiring, such as 40 or 80 coaxial cables, are convenient to use. Cooled by immersion in a tank filled with liquid He, these cryoprobes allow rapid cool-down and warm-up. However, large consumption of liquid He, the cost of which has been steadily increasing worldwide, makes this solution rather expensive and wasteful. On the other hand, one can exploit the modular reconfigurability of HYPRES' digital-RF receiver product to create a testbed for different ICs. Such a system uses the smallest commercially available closed-cycle refrigerator (~1.2 kW) and has negligible operating cost. However, reconfiguration takes time and expertise since these products are specially designed with customized chip package and wiring to minimize the thermal load on the cryocooler. These low-maintenance systems are ideal for prolonged operation of a single chip, which is invaluable for superconductor electronics system developers and end-users. The integrated cryoelectronics testbed (ICE-T) combines the advantages of the liquid He cryoprobe and the cryocooled digital-RF product. By using a more powerful, commercially available, electrically powered closed-cycle refrigerator (7 kW), ICE-T alleviates the thermal constraints on wiring while maintaining very low operating cost. By separating the electrical and thermal subsystems, it maintains modularity without sacrificing the universality of the cryoprobe. A set of universal and custom electrical modules can be independently built and inserted in ICE-T. Universal inserts with 40 and 80 coaxial cables accommodate all chips with standard I/O pads like the familiar liquid He cryoprobes. Custom inserts for different classes of chips and MCMs are designed and built according to user requirements and specifications. The utility of the ICE-T was successfully demonstrated by testing a benchmark superconducting digital circuit at low frequency and an analog-to-digital converter chip clocked above 20 GHz.
Low energy dissipation and ability to operate at low temperatures provide for Josephson junction circuits a niche as a support for low temperature devices. With high speed operation (Chen W. et al., 1999) capability the Josephson junction circuits make a prime candidate for applications which are difficult to engineer with existing CMOS technology. The development of Josephson junction technology took a major turn for the better with the invention of the Rapid-Single-Flux-Quantum (RSFQ) devices (Likharev K.K. et al., 1991), an improvement over voltage biased Josephson Junctions logic which were plagued with the junction switching and reset problems. The modern applications of SFQ circuits extend to a larger range of temperature operation and the applications vary from low temperature magnetic sensor, to high speed mixed signal circuits, voltage and current standards (Turner C.W. et al., 1998), and auxiliary components for quantum computing circuits. Most of the SFQ circuits are fabricated with Niobium, but Aluminum based circuits are being used for quantum gates (Nielsen M.A. et al., 2000) and qubit operations. SFQ circuits based on Magnesium di-Boride junctions are being developed for higher temperature operations (Tahara S. et al., 2004). Predominantly most of the Josephson junction circuits today are operated at around 4K. All the circuits are optimized usually for liquid helium temperatures, so the circuits operated in helium bath Dewars or cryostat's do not experience any temperature gradients or drift effects which can affect the operating margins. With the improvement in the fabrication technology and soft-wares for SFQ circuit technology, the designing complex circuits have become easier. Complex Circuits with over 20K junctions such digital synthesizer and digital RF Trans-receiver have already been demonstrated (Oleg M.A. et al., 2011). Development of circuits over 100K junctions are actively under progress. However, with enormously large circuits, power requirements also increase. Looking at the range of applications and complexity of the problems of energy minimization, we try to look at the problem in two approaches. One for large complex circuits, we try to reduce the power bias itself, or the overall load of current that is supplied
We have designed and tested a superconducting quantum interference device (SQUID) readout circuit, which can be operated at liquid helium temperatures. Although room-temperature SQUID electronics perform well, it is sometimes desirable to keep the wires between SQUID, readout electronics, and feedback coil as short as possible to minimize phase shifts and time delays. Cooling the readout circuit to low temperatures can also decrease its thermal noise. Our readout circuit uses conventional ac-flux modulation, which significantly reduces low frequency excess noise and drift in the preamplifier. In this case, simple complementary metal–oxide–semiconductor circuits with low power dissipation can be used as amplifier, phase-sensitive detector and integrator. The power dissipation of the complete readout is less than 15mW at 5V supply voltage.