A magnonic directional coupler for integrated magnonic half-adders

Wang, Qi; Kewenig, M.; Schneider, Michael; Verba, Roman; Kohl, F.; Heinz, Björn; Geilen, Moritz; Mohseni, Morteza; Lägel, B.; Ciubotaru, Florin; Adelmann, Christoph; Dubs, Carsten; Cotofana, Sorin; Dobrovolskiy, Oleksandr V.; Brächer, Thomas; Pirro, Philipp; Chumak, A. V.

doi:10.1038/s41928-020-00485-6

Cited by 197 publications

(208 citation statements)

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“…A similar powerdependent transmission curve shift was observed in optical ring resonators 28,41,42 . To plot the theoretical curves, we use a nonlinear frequency shift value of W = −2π × 2.6 GHz, which is calculated for a straight waveguide 25,43 . As one can see, this approximation is reasonable and gives a similar shift of the transmission minimum position compared to the simulated results.…”

Section: Nonlinearity Of Magnonic Ringsmentioning

confidence: 99%

“…These features make spin waves highly attractive for wave-based and neuromorphic computing concepts. Several important milestones were achieved in the realization of magnonic data-processing units, including logic gates [13][14][15] , majority gates [16][17][18] , a magnon transistor 19 , a phase shifter 20 , building blocks for unconventional computing [21][22][23] , auxiliary units for integrated circuits 12 , magnonic directional couplers [24][25][26][27] , and an integrated magnonic half-adder 25 .…”

Section: Introductionmentioning

confidence: 99%

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A nonlinear magnonic nano-ring resonator

et al. 2020

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The field of magnonics, which aims at using spin waves as carriers in data-processing devices, has attracted increasing interest in recent years. We present and study micromagnetically a nonlinear nanoscale magnonic ring resonator device for enabling implementations of magnonic logic gates and neuromorphic magnonic circuits. In the linear regime, this device efficiently suppresses spin-wave transmission using the phenomenon of critical resonant coupling, thus exhibiting the behavior of a notch filter. By increasing the spin-wave input power, the resonance frequency is shifted, leading to transmission curves, depending on the frequency, reminiscent of the activation functions of neurons, or showing the characteristics of a power limiter. An analytical theory is developed to describe the transmission curve of magnonic ring resonators in the linear and nonlinear regimes, and is validated by a comprehensive micromagnetic study. The proposed magnonic ring resonator provides a multi-functional nonlinear building block for unconventional magnonic circuits.

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Section: Nonlinearity Of Magnonic Ringsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A nonlinear magnonic nano-ring resonator

et al. 2020

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“…Alongside mature technologies such as data storage, nanomagnetic arrays support a host of more recent applications including neuromorphic computation [1][2][3][4][5] , superconducting vortex control [6][7][8][9] and reconfigurable magnonic crystals [10][11][12][13][14]. RMCs are nanopatterned metamaterials harnessing varying magnetic configurations to manipulate and store information by tuning magnonic (spin-wave) dynamics [15][16][17][18][19][20][21][22][23][24][25][26] .…”

mentioning

confidence: 99%

“…RMCs promise to be key functional elements in the burgeoning field of magnonics 13,[16][17][18][19]21,22 . Comprising arrays of interacting nanomagnets, different magnetization configurations of the array (or 'microstates') allow a range of functional behaviours including amplifying and attenuating specific frequency channels [27][28][29][30][31] or bandgap creation and tuning [32][33][34] .…”

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confidence: 99%

Current-controlled nanomagnetic writing for reconfigurable magnonic crystals

et al. 2020

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Strongly-interacting nanomagnetic arrays are crucial across an ever-growing suite of technologies. Spanning neuromorphic computing, control over superconducting vortices and reconfigurable magnonics, the utility and appeal of these arrays lies in their vast range of distinct, stable magnetization states. Different states exhibit different functional behaviours, making precise, reconfigurable state control an essential cornerstone of such systems. However, few existing methodologies may reverse an arbitrary array element, and even fewer may do so under electrical control, vital for device integration. We demonstrate selective, reconfigurable magnetic reversal of ferromagnetic nanoislands via current-driven motion of a transverse domain wall in an adjacent nanowire. The reversal technique operates under all-electrical control with no reliance on external magnetic fields, rendering it highly suitable for device integration across a host of magnonic, spintronic and neuromorphic logic architectures. Here, the reversal technique is leveraged to realize two fully solid-state reconfigurable magnonic crystals, offering magnonic gating, filtering, transistor-like switching and peak-shifting without reliance on global magnetic fields.

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“…In addition, physical realization of Majority gates were demonstrated [26][27][28] . Furthermore, SW circuits were proposed at conceptual level, i.e., without simulation or experimental results, 29 , at simulation level, 2bit inputs SW multiplier 16 and magnonic half-adder 31 , as well as simulation based practical mm range prototypes 30 .…”

Section: Introductionmentioning

confidence: 99%

Spin Wave Based Approximate Computing

Mahmoud¹,

Vanderveken²,

Ciubotaru³

et al. 2021

Preprint

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By their very nature Spin Waves (SWs) enable the realization of energy efficient circuits as they propagate and interfere within waveguides without consuming noticeable energy. However, SW computing can be even more energy efficient by taking advantage of the approximate computing paradigm as many applications are error-tolerant like multimedia and social media. In this paper we propose an ultra-low energy novel Approximate Full Adder (AFA) and a 2-bit inputs Multiplier (AMUL). The approximate FA consists of one Majority gate while the approximate MUL is built by means of 3 AND gates. We validate the correct functionality of our proposal by means of micromagnetic simulations and evaluate the approximate FA figure of merit against state-of-the-art accurate SW, 7nm CMOS, Spin Hall Effect (SHE), Domain Wall Motion (DWM), accurate and approximate 45nm CMOS, Magnetic Tunnel Junction (MTJ), and Spin-CMOS FA implementations. Our results indicate that AFA consumes 43% and 33% less energy than state-of-the-art accurate SW and 7nm CMOS FA, respectively, and saves 69% and 44% when compared with accurate and approximate 45nm CMOS, respectively, and provides a 2 orders of magnitude energy reduction when compared with accurate SHE, accurate and approximate DWM, MTJ, and Spin-CMOS, counterparts. In addition, it achieves the same error rate as approximate 45nm CMOS and Spin-CMOS FA whereas it exhibits 50% less error rate than the approximate DWM FA. Furthermore, it outperforms its contenders in terms of area by saving at least 29% chip real-estate. AMUL is evaluated and compared with state-of-the-art accurate SW and 16nm CMOS accurate and approximate state-of-the-art designs. The evaluation results indicate that it saves at least 2x and 5x energy in comparison with the state-of-the-art SW designs and 16nm CMOS accurate and approximate designs, respectively, and has an average error rate of 10%, while the approximate CMOS MUL has an average error rate of 12.5%, and requires at least 64% less chip real-estate.

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A magnonic directional coupler for integrated magnonic half-adders

Cited by 197 publications

References 50 publications

A nonlinear magnonic nano-ring resonator

A nonlinear magnonic nano-ring resonator

Current-controlled nanomagnetic writing for reconfigurable magnonic crystals

Spin Wave Based Approximate Computing

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