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Superconductor Science and Technology

A scalable superconducting nanowire memory cell and preliminary array test

Brenden Butters, Reza Baghdadi, Murat Onen, Emily Toomey, Owen Medeiros, Karl K. Berggren

Published Dec 7, 2020• 20 citations
Publisher

Abstract

Abstract There has been a demand for a scalable superconducting memory technology for cryogenic computing for some time. This demand has proven difficult to satisfy due to the simultaneous need for high speed operation, low power consumption, and high density, all while maintaining cryogenic and SFQ compatibility. In an effort to satisfy this demand, we have developed a simple memory cell based on our prior work with nanowire-based memories. Due to the memory cell’s reliance on kinetic inductance, the cell can be scaled to almost any size. The cell has been designed specifically such that it can easily form into an array simply by arranging in a 2D pattern. This design eliminated the need for external addressing circuitry. This new cell, when operated in isolation and without the heater, performs very well with predicted bit error rates around 10 −17 . However, preliminary array tests show that while the memory operates, the predicted error rates rise to 1.5 × 10 −3 . We believe that this issue is predominantly due to the hTron-channel kinetic inductance dramatically changing upon the application of the row-select heaters. This issue might be addressed by designing the cell to compensate for the change in kinetic inductance when the heater is activated. If this remedy proves to be effective, then this memory would enable the development of compact and scalable memory arrays.

DOI
10.1088/1361-6668/abd14e

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Conference digest•Jun 26, 2022•15 citations
Abstract There has been a demand for a scalable superconducting memory technology for cryogenic computing for some time. This demand has proven difficult to satisfy due to the simultaneous need for high speed operation, low power consumption, and high density, all while maintaining cryogenic and SFQ compatibility. In an effort to satisfy this demand, we have developed a simple memory cell based on our prior work with nanowire-based memories. Due to the memory cell’s reliance on kinetic inductance, the cell can be scaled to almost any size. The cell has been designed specifically such that it can easily form into an array simply by arranging in a 2D pattern. This design eliminated the need for external addressing circuitry. This new cell, when operated in isolation and without the heater, performs very well with predicted bit error rates around 10 −17 . However, preliminary array tests show that while the memory operates, the predicted error rates rise to 1.5 × 10 −3 . We believe that this issue is predominantly due to the hTron-channel kinetic inductance dramatically changing upon the application of the row-select heaters. This issue might be addressed by designing the cell to compensate for the change in kinetic inductance when the heater is activated. If this remedy proves to be effective, then this memory would enable the development of compact and scalable memory arrays.
Developing ultra-low-energy superconducting computing and fault-tolerant quantum computing will require scalable superconducting memory. While conventional superconducting logic-based memory cells have facilitated early demonstrations, their large footprint poses a significant barrier to scaling. Nanowire-based superconducting memory cells offer a compact alternative, but high error rates have hindered their integration into large arrays. In this work, we present a superconducting nanowire memory array designed for scalable row-column operation, achieving a functional density of 2.6 \,Mb/cm2^{2}2. The array operates at 1.3 1.3\,1.3K, where we implement and characterize multi-flux quanta state storage and destructive readout. By optimizing write and read pulse sequences, we minimize bit errors while maximizing operational margins in a 4×44\times 44×4 array. Circuit-level simulations further elucidate the memory cell's dynamics, providing insight into performance limits and stability under varying pulse amplitudes. We experimentally demonstrate stable memory operation with a minimum bit error rate of 10−510^{-5}10−5. These results suggest a promising path for scaling superconducting nanowire memories to high-density architectures, offering a foundation for energy-efficient memory in superconducting electronics.
Abstract A superconducting loop stores persistent current without any ohmic loss, making it an ideal platform for energy efficient memories. Conventional superconducting memories use an architecture based on Josephson junctions (JJs) and have demonstrated access times less than 10 ps and power dissipation as low as 10 −19 J. However, their scalability has been slow to develop due to the challenges in reducing the dimensions of JJs and minimizing the area of the superconducting loops. In addition to the memory itself, complex readout circuits require additional JJs and inductors for coupling signals, increasing the overall area. Here, we have demonstrated a superconducting memory based solely on lithographic nanowires. The small dimensions of the nanowire ensure that the device can be fabricated in a dense area in multiple layers, while the high kinetic inductance makes the loop essentially independent of geometric inductance, allowing it to be scaled down without sacrificing performance. The memory is operated by a group of nanowire cryotrons patterned alongside the storage loop, enabling us to reduce the entire memory cell to 3 μ m × 7 μ m in our proof-of-concept device. In this work we present the operation principles of a superconducting nanowire memory (nMem) and characterize its bit error rate, speed, and power dissipation.
Superconducting nanowire integrated circuits (SNICs) are a promising class of cryogenic electronics that harness the zero resistance, high kinetic inductance, and nanoscale geometry of ultrathin superconducting wires to implement logic, memory, amplification, and sensing with minimal energy dissipation. Unlike Josephson-junction-based circuits, SNICs support compact, planar layouts compatible with single-layer fabrication and operation in unshielded cryogenic environments. This thesis develops superconducting nanowire memory (SNM) as a scalable implementation of SNICs. A modular cell architecture is introduced, exploiting hysteretic switching and inductive asymmetry to enable nonvolatile digital state storage with zero static power consumption. A hierarchical design framework is established, combining automated layout generation, electrothermal simulation in LTspice, and microscopic modeling using the time-dependent Ginzburg–Landau (TDGL) formalism. To enable scalable integration, this work implements a row–column SNM array layout and demonstrates fabrication across full 4-inch wafers using a planar, singlelayer process. Cryogenic measurements validate reliable operation in both single cells and multi-cell arrays, confirming the predictive accuracy of the design and modeling framework. Tradeoffs in bias current levels, pulse timing, and read/write conditions are systematically evaluated through cryogenic measurements, revealing their impact on bit error rate, operational margins, and energy efficiency across single cells and arrays. Together, these contributions establish SNICs as a viable and extensible platform for cryogenic memory, providing the tools, models, and infrastructure needed to enable broader adoption in quantum computing, neuromorphic systems, and other energy-constrained cryogenic applications.
A superconducting loop stores persistent current without any ohmic loss, making it an ideal platform for energy efficient memories. Conventional superconducting memories use an architecture based on Josephson junctions (JJs) and have demonstrated access times less than 10 ps and power dissipation as low as 10[superscript -19] J. However, their scalability has been slow to develop due to the challenges in reducing the dimensions of JJs and minimizing the area of the superconducting loops. In addition to the memory itself, complex readout circuits require additional JJs and inductors for coupling signals, increasing the overall area. Here, we have demonstrated a superconducting memory based solely on lithographic nanowires. The small dimensions of the nanowire ensure that the device can be fabricated in a dense area in multiple layers, while the high kinetic inductance makes the loop essentially independent of geometric inductance, allowing it to be scaled down without sacrificing performance. The memory is operated by a group of nanowire cryotrons patterned alongside the storage loop, enabling us to reduce the entire memory cell to 3 μm ×7 μm in our proof-of-concept device. In this work we present the operation principles of a superconducting nanowire memory (nMem) and characterize its bit error rate, speed, and power dissipation.
The demand for low-dissipation nanoscale memory devices is as strong as ever. As Moore’s law is staggering, and the demand for a low-power-consuming supercomputer is high, the goal of making information processing circuits out of superconductors is one of the central goals of modern technology and physics. So far, digital superconducting circuits could not demonstrate their immense potential. One important reason for this is that a dense superconducting memory technology is not yet available. Miniaturization of traditional superconducting quantum interference devices is difficult below a few micrometers because their operation relies on the geometric inductance of the superconducting loop. Magnetic memories do allow nanometer-scale miniaturization, but they are not purely superconducting (Baek et al 2014 Nat. Commun. 5 3888). Our approach is to make nanometer scale memory cells based on the kinetic inductance (and not geometric inductance) of superconducting nanowire loops, which have already shown many fascinating properties (Aprili 2006 Nat. Nanotechnol. 1 15; Hopkins et al 2005 Science 308 1762). This allows much smaller devices and naturally eliminates magnetic-field cross-talk. We demonstrate that the vorticity, i.e., the winding number of the order parameter, of a closed superconducting loop can be used for realizing a nanoscale nonvolatile memory device. We demonstrate how to alter the vorticity in a controlled fashion by applying calibrated current pulses. A reliable read-out of the memory is also demonstrated. We present arguments that such memory can be developed to operate without energy dissipation.
Cryogenic (cryo) memory devices, designed to operate at/below 4 Kelvin (K) temperature, is a prime enabler of practical quantum computing systems, and superconducting (SC) electronic platforms (Figs. 1(a), (b)) [1]. The state-of-the-art quantum algorithms require many arbitrary rotations which demand a large memory to store program instructions [2]. SC qubits (used in most of the existing quantum computing systems) are highly sensitive to noise and hence, to protect the qubit states from thermal disturbances, they are placed at a few milli-Kelvin (mK) temperature. Furthermore, to preserve the integrity of the quantum states, the SC qubits undergo continuous error correction schemes, requiring extensive memory and bandwidth [2]. Superconducting electronics (SCE) (targeted towards space applications, and high-performance computing) outperforms the conventional CMOS counterparts in terms of speed and energy-efficiency (Fig. 1(c)) [3]. Decades of research efforts have given rise to three major categories (and several sub-variants) of cryo-memories based on SC, non-SC, and hybrid technologies (Fig. 2) [2], [4]–[6]. However, the existing variants suffer from one or more of the following challenges - (i) limited scalability, (ii) process complexity, (iii) bulky peripherals, (iv) array-level interference, (v) volatility, and (vi) speed incompatibility. Therefore, a scalable cryo-memory system remains elusive. To address these existing issues, here, we present a novel cryo-memory system utilizing -(i) the polarization-induced Cooper-pair [7] modulation in a ferroelectric(FE)(FE)(FE)superconducting quantum interference device (SQUID) (Fig. 3(a)) [8], and (ii) current controlledSC↔non−SCSC\leftrightarrow non-SCSC↔non−SCswitching in a heater cryotron(hTron)(hTron)(hTron)(Fig. 4) [4]. Discrete prototypes of these devices have been demonstrated recently, but their coupled interactions (which we harness in our work) were never explored before.