How do spin waves pass through a bend?

Xing, Xiangjun; Yu, Yongli; Li, Shuwei; Huang, Xin

doi:10.1038/srep02958

Cited by 46 publications

(45 citation statements)

References 33 publications

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“…Moreover, the wave properties allow for efficient data processing through the exploitation of the interference between spin waves. [1][2][3][4][5][6][7][8] An important step towards the application of spin-wave devices in modern information technology is the realization of spin-wave logic gates. In this context, the majority gate is of special interest since it allows for the evaluation of the majority of an odd number of input signals, as given in Tab.…”

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confidence: 99%

Design of a spin-wave majority gate employing mode selection

Klingler

Pirro

Brächer

et al. 2014

Applied Physics Letters

171

142

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The design of a microstructured, fully functional spin-wave majority gate is presented and studied using micromagnetic simulations. This all-magnon logic gate consists of three-input waveguides, a spin-wave combiner and an output waveguide. In order to ensure the functionality of the device, the output waveguide is designed to perform spin-wave mode selection. We demonstrate that the gate evaluates the majority of the input signals coded into the spin-wave phase. Moreover, the all-magnon data processing device is used to perform logic AND-, OR-, NAND-and NOR-operations.In spintronics the degree of freedom of the spin is used to transmit information. Spin and, thus, angular momentum cannot only be transmitted by electrons, but also by magnons, the quanta of the dynamic excitations of the magnetic system -spin waves. It is possible to encode information in the phase or amplitude of such spin waves and to have it transmitted through spin-wave waveguides. Moreover, the wave properties allow for efficient data processing through the exploitation of the interference between spin waves.[1-8] An important step towards the application of spin-wave devices in modern information technology is the realization of spin-wave logic gates. In this context, the majority gate is of special interest since it allows for the evaluation of the majority of an odd number of input signals, as given in Tab. I. Furthermore, not only can majority operations be performed with this gate but also AND-or OR-operations, if one input (see input 3 in Tab. I) is used as a control input. Hence, the advantage of the majority gate is its configurability and functionality.[9] In a spin-wave majority gate the phase φ of the waves is used as an information carrier (φ 0 corresponds to logic "0", logic "1" is represented by φ 0 + π). Although the idea of such majority gates was presented earlier, [9,10] no practical realization suitable for the integration into magnonic circuits has thus far been proposed.One of the main problems of a realistic spin-wave majority gate is the coexistence of different spin-wave modes with different wavelengths at a fixed frequency in the structure.[11] As a result, the output signal is given by overlaying waves of various phases and, thus, the majority function is lost. As a solution, a design which guarantees for a single-mode operation has to be used. Here, we present the design of an all-magnon majority gate and prove its functionality using numerical simulations. The width of the output waveguide has been chosen in a way such as to obtain single-mode operation. The operational characteristics of the majority gate have been studied for different phases. AND-, OR-, NAND-and NOR-operations have been demonstrated using the same * Electronic address: klingles@rhrk.uni-kl.de majority gate device.For the simulations, the material parameters of 100 nm-thick Yttrium-Iron-Garnet (

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mentioning

confidence: 99%

Design of a spin-wave majority gate employing mode selection

Klingler

Pirro

Brächer

et al. 2014

Applied Physics Letters

171

142

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“…This should minimize scaling of the device size with the magnonic wavelength, in contrast to, e.g., magnonic crystal based approaches [3], and thereby ease the associated patterning resolution requirements. Indeed, nonuniform effective magnetic field and magnetization configurations have been shown to confine [10,11] and channel [12][13][14][15] spin waves, to continuously modify their character [16][17][18], and to enable their coupling to essentially uniform free space microwaves [19,20]. Here, we go further by exploiting in addition the anisotropic dispersion inherent to spin waves dominated by the dynamic magneto-dipole field-so-called magnetostatic spin waves [1].…”

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confidence: 99%

“…Yet, the nonuniformity of the internal magnetic field and the magnetization persists to much shorter length scales and could still lead to useful device concepts [10][11][12][13]46]. Moreover, on the nanometer length scales, the nonuniform exchange field (completely neglected here) becomes more important and could therefore be exploited [14,47,48], while additional opportunities arise from the use of the highly localized magnetic field due to magnetic domain walls [49,50]. At the same time, the micrometer to millimeter scale (e.g., YIG-based) magnonic devices should still find application in microwave signal processing.…”

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confidence: 99%

“…This anisotropic dispersion leads to the formation of nondiffracting caustic spin-wave beams * Corresponding author: v.v.kruglyak@exeter.ac.uk [24][25][26][27][28][29][30] and to anomalous spin-wave reflection, refraction, and diffraction [31][32][33][34][35]. Here, we explore these ideas in networks of magnonic waveguides [6,8,[12][13][14][15][16][17][18][19][20]24,29,36], in which not only the internal magnetic field and the magnetization, but also the associated anisotropic dispersion are nonuniform and contribute significantly to the observed switching of the direction of spin-wave propagation. In excellent agreement with numerical micromagnetic modeling [37], our results of the time-resolved scanning Kerr microscopy (TRSKM) [19,20] imaging of magnetostatic spin waves propagating in Permalloy magnonic waveguides not only supply further evidence of feasibility, but also uncover exciting opportunities ahead of the "graded-index magnonics" theme.…”

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Towards graded-index magnonics: Steering spin waves in magnonic networks

et al. 2015

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Magnonics explores precessional excitations of ordered spins in magnetic materials-so-called spin wavesand their use as information and signal carriers within networks of magnonic waveguides. Here, we demonstrate that the nonuniformity of the internal magnetic field and magnetization inherent to magnetic structures creates a medium of graded refractive index for propagating magnetostatic waves and can be used to steer their propagation. The character of the nonuniformity can be tuned and potentially programmed using the applied magnetic field, which opens exciting prospects for the field of graded-index magnonics. Over the past decade, magnonics (the study of spin waves-precessional excitations of ordered spins in magnetic materials [1]) has emerged as one of the most rapidly growing research fields in magnetism [2,3]. Moreover, recent advances in the understanding of fundamental properties of spin waves in magnetic micro-and nanostructures have highlighted magnonics as a potential rival of or complement to semiconductor technology in the field of data communication and processing [4]. The push for miniaturization renders ferromagnetic transition metals and their alloys to be materials of choice for the fabrication of spin-wave devices [5,6]. However, loss reduction, the shortening of the wavelength of studied spin waves, and the associated miniaturization of the implemented magnonic concepts and devices remain major challenges in both experimental research and technological development in magnonics [2,3].In this Rapid Communication, we explore an approach to meet these challenges that is based on the concept of gradedindex (or gradient-index) optics [7]. As applied to spin waves, this concept is based on the following basic ideas. First, the propagation of spin waves is controlled using subwavelength, often continuously varying, magnetic nonuniformities [8,9]. This should minimize scaling of the device size with the magnonic wavelength, in contrast to, e.g., magnonic crystal based approaches [3], and thereby ease the associated patterning resolution requirements. Indeed, nonuniform effective magnetic field and magnetization configurations have been shown to confine [10,11] and channel [12][13][14][15] spin waves, to continuously modify their character [16][17][18], and to enable their coupling to essentially uniform free space microwaves [19,20]. Here, we go further by exploiting in addition the anisotropic dispersion inherent to spin waves dominated by the dynamic magneto-dipole field-so-called magnetostatic spin waves [1]. The symmetry axis of the anisotropic magnetostatic dispersion coincides with the direction of the magnetization [21][22][23]. This anisotropic dispersion leads to the formation of nondiffracting caustic spin-wave beams * Corresponding author: v.v.kruglyak@exeter.ac.uk [24][25][26][27][28][29][30] and to anomalous spin-wave reflection, refraction, and diffraction [31][32][33][34][35]. Here, we explore these ideas in networks of magnonic waveguides [6,8,[12][13][14][15][16][17][18][19][20]24,...

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“…27 By virtue of the structural characters of the logic-NOT gate, we propose two types of such components-NAND and NOR gates [64][65][66] . The 19 schematic architectures are shown in Fig.…”

Section: Logic Operations By Domain-wall-mediated Skyrmion Motionmentioning

confidence: 99%

Skyrmion domain wall collision and domain wall-gated skyrmion logic

2016

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Skyrmions and domain walls are typical spin textures of significant technological relevance to magnetic memory and logic applications, where they are used as carriers of information. The unique topology of skyrmions makes them to display distinct dynamical properties compared to domain walls. Some studies have demonstrated that the two topologically inequivalent magnetic objects could be interconverted by cleverly designed geometric structures. Here, we numerically address the skyrmion-domain wall collision in a magnetic racetrack by introducing relative motion between the two objects based on a specially designed junction. An electric current serves as the driving force that moves a skyrmion toward a trapped domain-wall pair. We observe different types of collision dynamics by changing the driving parameters. Most importantly, the domain wall modulation of skyrmion  Author to whom correspondence should be addressed: Y. Zhou (E-mail: yanzhou@hku.hk) 2 transport is realized in this system, allowing a set of domain wall-gated logical NOT, NAND, and NOR gates to be constructed. By providing a promising logic architecture that is fully compatible with racetrack memories, this work is expected to speed up the development of skyrmion-based magnetic computation.

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How do spin waves pass through a bend?

Cited by 46 publications

References 33 publications

Design of a spin-wave majority gate employing mode selection

Design of a spin-wave majority gate employing mode selection

Towards graded-index magnonics: Steering spin waves in magnonic networks

Skyrmion domain wall collision and domain wall-gated skyrmion logic

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