Magnetic skyrmion, which is a kind of swirl-like topological protected spin structure, shows great potential in the racetrack memory. So far, this progress is in obstacle by the skyrmion Hall effect which means that the direction of skyrmion motion will deviate from the driving direction. In our work, based on the hybrid skyrmion, we propose a new way to solve the deviation problem. Instead of the acquirement of great nanotechnology to confine the skyrmion in the one-dimensional (1D) potential well, the hybrid skyrmion in a three-layer film can also be guided by only an edge formed through etching the surface layer. The edge will provide a local spatial asymmetry for the skyrmion. This asymmetry can both constrain the skyrmion to a heart shape and equilibrate the moving skyrmion to the etched line. Further simulations confirm that the heart-shaped skyrmion is also available in the multi-racetrack memory. It is thinked that our proposal might be another efficient method to help to solve the skyrmion Hall effect, and the study might be able to contribute to the skyrmion-based device.
Graphic abstract
摘要
磁斯格明子是一种涡旋状受拓扑保护的自旋结构, 它极有希望应用于赛道存储器中。但斯格明子在运动过程中存在斯格明子霍尔效应, 即运动方向偏离驱动电流方向, 这使得磁斯格明子赛道存储器的研究受到严重制约。基于以往混合斯格明子的研究, 我们在本文提供了一种解决斯格明子霍尔效应的新思路。在传统思路中, 人们往往需要使用极高精度的纳米加工技术来刻蚀极窄的一维势阱, 以控制斯格明子运动。但我们的研究发现, 在三层膜结构中, 当其表层(氧化层)被刻蚀后, 混合斯格明子的运动轨迹由刻蚀后得到的边缘所引导。边缘的存在使得空间上出现了不对称性, 这种不对称性不仅使得斯格明子被扭曲为心形, 也迫使运动中的斯格明子平衡在边缘下方。进一步的模拟证明, 这种心形斯格明子也可以应用于多轨复合的赛道存储器中。本研究为解决斯格明子霍尔效应提供了一个新的思路, 为斯格明子自旋电子学器件的研究做出了一些贡献。
References
Sampaio J, Cros V, Rohart S, Thiaville A, Fert A. Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures. Nat Nanotechnol. 2013;8(11):839.
Fert A, Cros V, Sampaio J. Skyrmions on the track. Nat Nanotechnol. 2013;8(3):152.
Zhang S, Wang J, Zheng Q, Zhu Q, Liu X, Chen S, Jin C, Liu Q, Jia C, Xue D. Current-induced magnetic skyrmions oscillator. New J Phys. 2015;17(2):023061.
Jin C, Wang J, Wang W, Song C, Wang J, Xia H, Liu Q. Array of synchronized nano-oscillators based on repulsion between domain wall and skyrmion. Phys Rev Appl. 2018;9(4):044007.
Zhang X, Ezawa M, Zhou Y. Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions. Sci Rep. 2015;5(1):9400.
Huang Y, Kang W, Zhang X, Zhou Y, Zhao W. Magnetic skyrmion-based synaptic devices. Nanotechnology. 2017;28(8):08LT02.
Song KM, Jeong JS, Pan B, Zhang X, Xia J, Cha S, Park TE, Kim K, Finizio S, Raabe J, Chang J, Zhou Y, Zhao W, Kang W, Ju H, Woo S. Skyrmion-based artificial synapses for neuromorphic computing. Nat Electron. 2020;3(3):148.
Ma F, Zhou Y, Braun HB, Lew WS. Skyrmion-based dynamic magnonic crystal. Nano Lett. 2015;15(6):4029.
Zázvorka J, Jakobs F, Heinze D, Keil N, Kromin S, Jaiswal S, Litzius K, Jakob G, Virnau P, Pinna D, Everschor-Sitte K, Rózsa L, Donges A, Nowak U, Kläui M. Thermal skyrmion diffusion used in a reshuffler device. Nat Nanotechnol. 2019;14(7):658.
Wang Z, Yuan HY, Cao Y, Li ZX, Duine RA, Cha S, Yan P. Magnonic frequency comb through nonlinear Magnon-Skyrmion scattering. Phys Rev Lett. 2021;127(3):037202.
Yu X, Kanazawa N, Zhang W, Nagai T, Hara T, Kimoto K, Matsui Y, Onose Y, Tokura Y. Skyrmion flow near room temperature in an ultralow current density. Nat Commun. 2012;3(1):988.
Jonietz F, Mühlbauer S, Pfleiderer C, Neubauer A, Münzer W, Bauer A, Adams T, Georgii R, Böni P, Duine RA, Everschor K, Garst M, Rosch A. Spin transfer torques in MnSi at ultralow current densities. Science. 2010;330(6011):1648.
Neubauer A, Pfleiderer C, Binz B, Rosch A, Ritz R, Niklowitz P, Böni P. Topological Hall effect in the A phase of MnSi. Phys Rev Lett. 2009;102(18):186602.
Purnama I, Gan WL, Wong DW, Lew WS. Guided current-induced skyrmion motion in 1D potential well. Sci Rep. 2015;5(1):10620.
Lai P, Zhao G, Tang H, Ran N, Wu S, Xia J, Zhang X, Zhou Y. An improved racetrack structure for transporting a skyrmion. Sci Rep. 2017;7(1):45330.
Zhang X, Zhou Y, Ezawa M. Antiferromagnetic skyrmion: stability, creation and manipulation. Sci Rep. 2016;6(1):24795.
Jin C, Song C, Wang J, Liu Q. Dynamics of antiferromagnetic skyrmion driven by the spin Hall effect. Appl Phys Lett. 2016;109(18):182404.
Zhang X, Zhou Y, Ezawa M. Magnetic bilayer-skyrmions without skyrmion Hall effect. Nat Commun. 2016;7(1):10293.
Legrand W, Maccariello D, Ajejas F, Collin S, Vecchiola A, Bouzehouane K, Reyren N, Cros V, Fert A. Room-temperature stabilization of antiferromagnetic skyrmions in synthetic antiferromagnets. Nat Mater. 2020;19(1):34.
Zhang X, Xia J, Zhou Y, Wang D, Liu X, Zhao W, Ezawa M. Control and manipulation of a magnetic skyrmionium in nanostructures. Phys Rev B. 2016;94(9):094420.
Legrand W, Chauleau JY, Maccariello D, Reyren N, Collin S, Bouzehouane K, Jaouen N, Cros V, Fert A. Hybrid chiral domain walls and skyrmions in magnetic multilayers. Sci Adv. 2018;4(7):eaat0415.
Kim KW, Moon KW, Kerber N, Nothhelfer J, Everschor-Sitte K. Asymmetric skyrmion Hall effect in systems with a hybrid Dzyaloshinskii-Moriya interaction. Phys Rev B. 2018;97(22):224427.
Jin C, Zhang C, Song C, Wang J, Xia H, Ma Y, Wang J, Wei Y, Wang J, Liu Q. Current-induced motion of twisted skyrmions. Appl Phys Lett. 2019;114(19):192401.
Jena J, Göbel B, Ma T, Kumar V, Saha R, Mertig I, Felser C, Parkin SSP. Elliptical Bloch skyrmion chiral twins in an antiskyrmion system. Nat Commun. 2020;11(1):1115.
Peng L, Takagi R, Koshibae W, Shibata K, Nakajima K, Arima T, Nagaosa N, Seki S, Yu X, Tokura Y. Controlled transformation of skyrmions and antiskyrmions in a non-centrosymmetric magnet. Nat Nanotechnol. 2020;15(3):181.
Cui B, Yu D, Shao Z, Liu Y, Wu H, Nan P, Zhu Z, Wu C, Guo T, Chen P, Zhou HA, Xi L, Jiang W, Wang H, Liang S, Du H, Wang KL, Wang W, Wu K, Han X, Zhang G, Yang H, Yu G. Néel-type elliptical Skyrmions in a laterally asymmetric magnetic multilayer. Adv Mater. 2021;33(12):2006924.
Tomasello R, Martinez E, Zivieri R, Torres L, Carpentieri M, Finocchio G. A strategy for the design of skyrmion racetrack memories. Sci Rep. 2014;4(1):6784.
Belabbes A, Bihlmayer G, Blügel S, Manchon A. Oxygen-enabled control of Dzyaloshinskii-Moriya interaction in ultra-thin magnetic films. Sci Rep. 2016;6(1):24634.
Srivastava T, Schott M, Juge R, Krizakova V, Belmeguenai M, Roussigné Y, Bernand-Mantel A, Ranno L, Pizzini S, Chérif SM, Stashkevich A, Auffret S, Boulle O, Gaudin G, Chshiev M, Baraduc C, Béa H. Large-voltage tuning of Dzyaloshinskii-Moriya interactions: a route toward dynamic control of skyrmion chirality. Nano Lett. 2018;18(8):4871.
Yang H, Boulle O, Cros V, Fert A, Chshiev M. Controlling Dzyaloshinskii-Moriya interaction via chirality dependent atomic-layer stacking, insulator capping and electric field. Sci Rep. 2018;8(1):12356.
Rohart S, Thiaville A. Skyrmion confinement in ultrathin film nanostructures in the presence of Dzyaloshinskii-Moriya interaction. Phys Rev B. 2013;88(18):184422.
Sinova J, Valenzuela SO, Wunderlich J, Back C, Jungwirth T. Spin hall effects. Rev Mod Phys. 2015;87(4):1213.
Zhang X, Ezawa M, Xiao D, Zhao G, Liu Y, Zhou Y. All-magnetic control of skyrmions in nanowires by a spin wave. Nanotechnology. 2015;26(22):225701.
Thiele AA. Steady-state motion of magnetic domains. Phys Rev Lett. 1973;30(6):230.
Mahfouzi F, Kioussis N. First-principles calculation of the Dzyaloshinskii-Moriya interaction: a Green’s function approach. Phys Rev B. 2021;103(9):094410.
Zhang SL, van der Laan G, Wang WW, Haghighirad AA, Hesjedal T. Direct observation of twisted surface skyrmions in bulk crystals. Phys Rev Lett. 2018;120(22):227202.
Zhang S, van der Laan G, Müller J, Heinen L, Garst M, Bauer A, Berger H, Pfleiderer C, Hesjedal T. Reciprocal space tomography of 3D skyrmion lattice order in a chiral magnet. Proc Natl Acad Sci USA. 2018;115(25):6386.
Pollard SD, Garlow JA, Kim KW, Cheng S, Cai K, Zhu Y. Bloch chirality induced by an interlayer Dzyaloshinskii-Moriya interaction in ferromagnetic multilayers. Phys Rev Lett. 2020;125(22):227203.
Acknowledgements
This work was financially supported by the National Natural Scientific Fund of China (Nos. 51771086 and 12074158) and the Program of the Ministry of Education of China for Introducing Talents of Discipline to Universities (No. B20063).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interests
The authors declare that they have no conflict of interest.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Zhang, CL., Wang, JN., Song, CK. et al. Edge-guided heart-shaped skyrmion. Rare Met. 41, 865–870 (2022). https://doi.org/10.1007/s12598-021-01844-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12598-021-01844-8