Superconducting digital pulse-conserving logic and Josephson static random access memory (JSRAM) memory together enable scalable circuits with energy efficiency 100× beyond leading-node CMOS. Circuit designs support high throughput and low latency when implemented in an advanced fabrication stack with high-critical-current-density Josephson junctions of 1000 μA/μm2. Pulse-conserving logic produces one single-flux-quantum output for each input and includes a three-input, three-output gate producing logical or3, majority3, and and3. Gate macros using dual-rail data encoding eliminate inversion latency and produce efficient implementations of all standard logic functions. A full adder using 70 Josephson junctions has a carry-out latency of 5 ps corresponding to an effective 12 levels of logic at 30 GHz. JSRAM memory uses single-flux-quantum signals throughout an active array to achieve throughput at the same clock rate as the logic. The unit cell has eight Josephson junctions, a signal propagation latency of 1 ps, and a footprint of 2 μm2. Projected density of JSRAM is 4 MB/cm2, and computational density of pulse-conserving logic is on par with leading node CMOS accounting for power densities and clock rates.
Superconducting digital pulse-conserving logic and Josephson static random access memory (JSRAM) memory together enable scalable circuits with energy efficiency 100× beyond leading-node CMOS. Circuit designs support high throughput and low latency when implemented in an advanced fabrication stack with high-critical-current-density Josephson junctions of 1000 μA/μm2. Pulse-conserving logic produces one single-flux-quantum output for each input and includes a three-input, three-output gate producing logical or3, majority3, and and3. Gate macros using dual-rail data encoding eliminate inversion latency and produce efficient implementations of all standard logic functions. A full adder using 70 Josephson junctions has a carry-out latency of 5 ps corresponding to an effective 12 levels of logic at 30 GHz. JSRAM memory uses single-flux-quantum signals throughout an active array to achieve throughput at the same clock rate as the logic. The unit cell has eight Josephson junctions, a signal propagation latency of 1 ps, and a footprint of 2 μm2. Projected density of JSRAM is 4 MB/cm2, and computational density of pulse-conserving logic is on par with leading node CMOS accounting for power densities and clock rates.
Abstract : Lack of high-density, fast and memory has been a long-standing problem in superconducting digital electronics. Alternative Josephson-junction-based memory cells and peripheral circuits have intrinsic problems which impede the application of that kind of memory. The CMOS-Josephson hybrid memory idea was proposed in 1992 to circumvent this problem. In the present work we have designed and demonstrated a 64-kb CMOS-Josephson hybrid memory working at 1 GHz. In order to make the hybrid idea practical, a complete and comprehensive 4 K short-channel CMOS model for digital circuits was developed for this dissertation. It has been used in the design of the memory core and peripheral circuits. A fast hybrid interface circuit that transforms single-flux-quantum millivolt 2-ps pulse signals to CMOS volt-level signals has been studied and the optimized design has been completed. Using a nonvolatile cryogenic 3-T DRAM cell, the memory core is designed in such a way that the access time is much less than for room-temperature operation, not only because of the performance upgrade due to the temperature decrease but also because of a different reading mechanism. Fabricated by commercial submicron CMOS processes (0.25 microns and 0.18 microns) and a Nb/AlOx/Nb Josephson-junction process with 2.5 kA/cm2 tunneling current density, the memory chips were bonded together by direct wire-bonding and by flip-chip bump-bonding and tested at low frequencies, high frequencies, respectively. A subnanosecond access time is obtained both from simulations and experiments. The power for an interface circuit is measured to be 0.6 mW. The memory core consumes even less power. The total power consumption depends on the operation mode of the memory and is calculated to be 10 mW for reading and 28 mW for writing. Simulations also indicate that, with more advanced semiconductor and superconductor technologies, larger and faster hybrid memories are expected to be achievable in the future.
Single flux quantum (SFQ) digital circuits have shown the potential for high speed/low power computation applications. Unfortunately, because of the low integration density and low driving capability of SFQ circuits, realizing large-scale memories by using only SFQ circuits is still a challenge. Josephson-CMOS hybrid memory, hybridizing high-speed, low power SFQ circuits, and high-density CMOS memories is already proposed as a solution to the large-scale memory problem in RSFQ digital systems. In this article, an SFQ-based memory controller which works up to 10 GHz clock frequencies is designed for Josephson-CMOS hybrid memory systems. The memory controller acts as a SFQ/CMOS interface between the SFQ circuit and SRAM module and generates the required waveforms for SRAM read and write operations. The circuit which has 4-b data and 2-b address lines is fabricated with AIST 2.5 kA/cm2STP2 process and operations of the circuits are verified. To demonstrate the scalability of the circuit, memory controller was scaled to 8-b data and 13-b address to control of the 64kb SRAM. Operations of the scaled memory controller are verified with analog simulations. Scaled circuit consumes 0.76 mW power in an area of 1.64 mm × 1.60 mm.
Arrays of vortex transitional (VT) memory cells with functional density up to 1 Mbit/cm2have been designed, fabricated, and successfully demonstrated. This progress is due to recent advances in design optimization and in superconductor electronics fabrication achieved at MIT Lincoln Laboratory. As a starting point, we developed a demo array of VT cells for the 100-μA/μm2MIT LL fabrication process SFQ5ee with eight niobium layers. The studied two-junction memory cell with a two-junction nondestructive readout occupied 168 μm2, resulting in an over 0.5 Mbit/cm2functional density. Then, we reduced the cell area down to 99 μm2(corresponding to over 0.9 Mbit/cm2functional density) by utilizing self-shunted Josephson junctions (JJs) with critical current density JC of 600 μA/μm2and eliminating shunt resistors. The fabricated high-JC memory cells were fully operational and possessed wide read/write current margins, quite close to the theoretically predicted values. We discuss approaches to further increasing the integration scale of superconductor memory and logic circuits: 1) miniaturization of superconducting transformers by using soft magnetic materials; and 2) reduction of JJ area by using planar high-JC junctions similar to variable thickness bridges.
Superconductive logic based on Josephson junctions (JJ) is a promising technology for energy efficient supercomputers and cloud computing. This technology can deliver significant improvements in performance and energy efficiency as compared to CMOS. Superconductive circuits, however, suffer from low density integration as compared to CMOS, primarily due to the limited scalability of the inductors. To improve the scalability of superconductive logic, a logic family based on a novel JJ technology,$2\phi $-JJ, has been proposed that eliminates the inductors. In this brief, three circuits are presented which exploit this scalable inductor-less technology. This novel$2\phi $-JJ technology represents the data as half flux quantum (HFQ) pulses, which improves the energy efficiency and speed as compared to standard superconductive logic such as rapid single flux quantum (RSFQ). Unlike RSFQ, the proposed circuits dynamically switch upon receiving an HFQ pulse, saving energy. These$2\phi $-JJ logic circuits operate 2.25X faster and require 2.6X less energy as compared to RSFQ.
Flux quantum logic and memory circuits using superconducting Josephson tunnel junctions have high-speed switching times (approximately 1 ps), low power dissipation (< 1 (mu) W per circuit) and low levels of thermally induced electrical noise. Current designs of such circuits employ single trilayer junctions, which impose circuit size and logic threshold limitations. A new design component, the multilayered tunnel junction, consists of a vertically stacked array (a 1D superlattice) of Josephson tunnel junctions. The introduction of multilayered junctions into superconducting electronic circuitry offers a reduction in the current device size, fault tolerances, and new device applications. We present numerical simulations of simple circuits employing multilayered Josephson junctions as design components. Comparison with conventional single flux quantum circuitry is discussed. We also present preliminary measurements of multilayered Josephson junctions fabricated for use in flux quantum devices.
Josephson Junction (JJ) based superconductor logic families have been proposed and implemented to process analog and digital signals [1] for its low energy dissipation and ultrafast switching speed. Thanks to its construction of resistance-less wires and ultrafast switches, it can operate at clock frequencies of several tens of gigahertz and even hundreds of thousands of times as energy efficient as its CMOS counterparts. It has been perceived to be an important candidate to replace stateof-the-art CMOS due to the superior potential in operation speed and energy efficiency, as recognized by the U.S. IARPA C3 and SuperTools Programs and Japan MEXT-JSPS Project. The design and fabrication of superconducting circuits have already been established [2]-[4]. In addition, a prototype superconducting microprocessor "Core 1" has been demonstrated in 2004 [3], which is able to execute instructions at a high clock frequency of several tens of gigahertz, and with extremely low-power dissipation. These achievements make superconducting electronics highly promising for future high-performance computing applications. As one of the most matured superconducting technology, the Rapid-Single-Flux-Quantum (RSFQ) technology is proposed by K. Likharev, O. Mukhanoc, V. Semenov in 1985 [1]. Despite its capability to be operated at an ultra-high speed of hundreds of GHz while maintaining extremely low switching energy (10^-19 J), it suffers from an increasing static power due to on-chip resistors that are required for constant DC bias supply for the main RSFQ circuit. Numerous methods have been proposed to resolve the static power dissipation problem of RSFQ, including low-voltage RSFQ (LV-RSFQ) [5], reciprocal quantum logic (RQL) [6], LRbiased RSFQ [7] and energy-efficient single-flux quantum (eSFQ) [8]. The Adiabatic Quantum-Flux-Parametron (AQFP) technology, on the other hand, uses AC bias/excitation currents as both multiphase clock signal and power supply [9] to mitigate the power consumption overhead of DC bias while operating at a frequency of few GHz. Consequently, AQFP is remarkably energy efficient compared to RSFQ, albeit operating at a lower frequency. The energy-delay-product (EDP) of the AQFP circuits fabricated using processes such as the AIST standard process 2 (STP2) and the MIT-LL SFQ process [10], [11], is at least 200 times smaller than those of the other energy-efficient superconductor logics and is only three orders of magnitude larger than the quantum limit [9]. Physical testing results of an AQFP 8-bit carry-look-ahead adder and large scale circuits consisting up-to 10,000 AQFP logic gates have demonstrated the AQFP being a promising technology that is robust against circuit parameter variations [12]. Despite the high application potential of AQFP in VLSI circuits, a systematic, automatic synthesis framework for AQFP is imminent. There are two features of AQFP that restrict conventional CMOS synthesis methods being directly applied on AQFP. In spite of And-Or-Inverter(AOI) based representation, which conventional CMOS circuits highly relies on, AQFP circuits prefer majority gates. In fact, its two inputs AND and OR gates are also built with three inputs majority gate with one input being constant. In addition, given its clock-synchronized data propagation nature, AQFP technology requires all inputs to any gate having equal delay. In order to meet this balanced timing requirement, splitters and buffers need to be inserted to the circuit. As a matter of fact, some circuit size can be doubled even with optimum amount of buffers and splitters inserted. The buffer and splitter insertion method can have a huge impact on the overall resource consumption. As the design complexity increases, an unoptimized buffer and splitter insertion method could result in huge amount of unnecessary buffers and splitters added. In addition to a complete synthesis framework, an Integrated Development Environment (IDE) for AQFP design is also lacking. It is imminent to have an IDE for AQFP integrating tools that offer schematic and layout editor, simulation and analysis for better and more efficient AQFP design flow. In this paper, we propose a complete design tool for AQFP design including an Integrated Development Environment (IDE), a complete majority based synthesis framework and a buffer and splitter insertion framework. we propose a majority gates synthesis framework for AQFP circuits that is capable of converting any AOI netlist to its corresponding MAJ netlist by mapping all feasible three-input sub-netlists to corresponding MAJ based implementations. In addition, we also propose an automated buffer and splitter insertion method that is capable of adding the optimum amount of buffers and splitters to any given gate-level netlist. The proposed method can find the minimum amount of buffers and splitters to inserted to achieve equal delay with any library limitation on the size of splitters. Experimental results suggest that the proposed methods can deliver very optimized results. The majority conversion tool can reduce circuit size by an average of 16:47% and delay by 30:21% in average. The buffer and splitter insertion tool only introduces an average of 14:24% overhead in size and 4:70% delay with splitter fanout size limited to 4 compared to an unachievable ideal results with no limitations on splitter fan-out size. Overall, the balanced design in majority gates can be reduced by 23:85% and 29:54% in size and delay compared to its AND/OR/Inverter implemented counterpart.