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IEEE Transactions on Applied Superconductivity

Zero Static Power Dissipation Biasing of RSFQ Circuits

Dmitri E. Kirichenko, Saad M. Sarwana, Alex F. Kirichenko

Published Jan 13, 2011• 325 citations
Publisher

Abstract

We present a novel, resistor-free approach to dc biasing of RSFQ circuits, known as Energy-efficient RSFQ (ERSFQ). This biasing scheme does not dissipate energy in the static (non-active) mode, and dissipates orders of magnitude less power than traditional RSFQ while operating. Using this approach, we have designed, fabricated and successfully tested at low and high speed a D flip-flop with complementary outputs and several static frequency dividers. We present the method, demonstrate experimental results, and discuss future implementations of ERSFQ.

DOI
10.1109/tasc.2010.2098432

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We present a novel, resistor-free approach to dc biasing of RSFQ circuits, known as Energy-efficient RSFQ (ERSFQ). This biasing scheme does not dissipate energy in the static (non-active) mode, and dissipates orders of magnitude less power than traditional RSFQ while operating. Using this approach, we have designed, fabricated and successfully tested at low and high speed a D flip-flop with complementary outputs and several static frequency dividers. We present the method, demonstrate experimental results, and discuss future implementations of ERSFQ.
Energy efficiency has become the primary parameter for the design of next-generation single flux quantum (SFQ) circuits. This, however, needs to be balanced with optimization for clock speed and bias margins. Here, we experimentally study the tradeoff between circuit activity, energy efficiency, and bias margins for zero static power dissipation ERSFQ circuits. For ERSFQ, dc power is provided by a Josephson transmission line (JTL) called a “feeding” JTL (FJTL), which acts as a voltage source. As a test case, shift registers and multiplexers were laid out and fabricated in both HYPRES's and MIT-LL's 10-kA/cm2fabrication processes and tested at low (~kHz) and high (~GHz) clock frequencies. The functional bias margins for these circuits increase significantly from +/-4% to over +/-19% when the Josephson junction count in the FJTL was increased to ~30% of total dc bias current of the circuit. Based on our findings, we discuss how to optimize ERSFQ circuits for both energy efficiency and dc bias margins.
Superconducting single flux quantum (SFQ) circuits have been shown to offer huge advantages that are ideal for high performance computing applications. These circuits can operate at very high frequencies (tens of GHz) but consume very low power (from nanowatts to microwatts per gate). Energy-efficient SFQ (ERSFQ) circuits, evolved from traditional rapid SFQ (RSFQ) circuits, were invented with the goal of elimination of static power dissipation. When compared with RSFQ circuits, ERSFQ circuits require a new biasing network that includes biasing Josephson junction(s), biasing inductor(s), and feeding Josephson transmission line(s). Some general suggestions on how to design the network have been offered, but a detailed analysis and optimization scenario for the network is still to be provided. In this paper, we first optimize the previously reported DC-biased two-Josephson junction per bit RSFQ shift register circuit, which can be used to provide a more robust, energy-efficient, and high memory capacity storage unit. The simulated power dissipation of 16-bit RSFQ shift register is 0.45 μW per bit when operating at 21.7 GHz. We then convert the RSFQ-based shift register into an ERSFQ structure and investigate the effects of the ERSFQ bias network on the margins of the ERSFQ circuit. Finally, we propose a more comprehensive optimization method for the ERSFQ biasing network.
Total power dissipation in RSFQ circuits consists of two parts, dynamic and static. Dynamic power is dissipated in Josephson junctions performing useful logical and data transmission operations. This dissipation is fundamental and proportional to the data rate (at 4 K, of the order of 10/sup -18/ Joule per bit). Static power is dissipated in resistors used by RSFQ circuits to distribute dc bias current between Josephson junctions. This part of dissipation is not intrinsic to RSFQ circuits and in principle can be eliminated. The goal of this work is to show that Delay Insensitive (DI) RSFQ primitives can be modified so that resistors are no longer required in the dc power supply distribution network, so that the on-chip static power dissipation is absent. In this report we present the schematics for such primitives, define the class of circuits that allow resistor-free current distribution network, and formulate the requirements to the design of this network.
We designed and tested low-power digital gates based on the energy-efficient rapid single flux quantum (ERSFQ) and on the reversible nSQUID logic. The ERSFQ circuit consists of a series of 13 toggle flip-flops (TFFs), where the bias resistors are replaced by inductors which generate no energy dissipation in the static mode, resulting in a power consumption orders of magnitude below that of traditional RSFQ circuits during operation. The ERSFQ circuits were fabricated with HYPRES' standard 4.5-kA/cm2process and tested up to 20 GHz. The RF input level was about -25 dBm 50 Ω matched, and the output level was 400 μVpp. The nSQUID ring with “NOT” gates was fabricated with HYPRES' standard 1-kA/cm2process. The “0” and “1” input logic signals were realized injecting ±5 mA of current in a superconductive coil, obtaining 6 μVpp of amplitude as output signal. The test was performed at low frequency in order to verify the functionality and the ultralow power consumption.
We present the design and results of experimental verification methods for ultra-low-power digital circuits based on the recently introduced energy-efficient single flux quantum (eSFQ) logic. Similar to another low-power SFQ logic, ERSFQ, eSFQ circuits make use of superconducting dc bias current dividers and thus avoid static power dissipation. As a result, per-gate power dissipation is reduced by two orders of magnitude as compared to conventional rapid single flux quantum and static power dissipation is zero. The eSFQ circuits are fabricated using the HYPRES standard 4.5 kA/cm2process. We integrate a low-pass analog-to-digital modulator with our eSFQ deserializer to enable testing at high speed. In this paper, we demonstrate the viability and performance metrics of eSFQ circuits through functional and high-speed tests. Specifically, we confirmed correct operation and present measured parameter margins.
Energy-efficient rapid single flux quantum (ERSFQ) circuits have become a viable alternative for the implementation of superconducting circuits due to a large amount of static power consumption in RSFQ circuits. ERSFQ circuits are built upon the popular RSFQ logic circuits by replacing the power-dissipating resistor bias network with a bias network consisting of active devices. In this paper, a simulation study of ERSFQ biasing scheme is carried out by building simulation test benches for both synchronous and asynchronous ERSFQ circuits. A study is carried out to present the optimum value of biasing inductance, influence of the feeding Josephson transmission line (FJTL) and the effect of its size, the effect of the feeding clock frequency, and the effect of the circuit operating frequency. An innovative clock-choking mechanism using magnetic Josephson junctions is also proposed for the FJTL in the case of no logic circuit activity for a current-recycling circuit block, which would help in eliminating the dynamic power consumed due to the switching of bias junctions in a logic circuit. Simulation results for current recycling ERSFQ circuits are presented along with a strategy for implementing large superconducting circuits.