Effect of Thickness of Stacked Co Nanoring Arrays on Magnetic Properties

doi:10.19596/j.cnki.1001-246x.8698

Abstract

Abstract:

Based on the Monte Carlo (MC) method and the fast Fourier transform micromagnetism (FFTM) method, the magnetic dynamic properties of the stacked Co nanoring arrays with different thickness are simulated. It is found that the hysteresis loops of Co nanorings with different thickness have the bistable states, and the formation and stability of the "vortex state" are significantly related to the thickness. Further studies show that the thickness of the stacked Co nanoring arrays has a great influence on the external magnetic field required for the system to reach saturation. The step width of the hysteresis loop ΔH_fc is also related to the thickness. The simulation results are close to the experimental facts.

Key words: Monte Carlo method, fast Fourier transform micromagnetism method, the stacked Co nanoring arrays, thickness, magnetic properties

CLC Number:

O482.1

Qiannan HUANG, Yujie HE, Chunlong FAN, Changlin WEN, Yuchen XUE, Shuiyuan CHEN, Zhigao HUANG, Qingying YE. Effect of Thickness of Stacked Co Nanoring Arrays on Magnetic Properties[J]. Chinese Journal of Computational Physics, 2024, 41(2): 232-238.

Figures/Tables 8

Fig.1 The model of the stacked Co nanoring arrays

Fig.2 The hysteresis loops of the stacked Co nanoring arrays with different thickness at r=40 nm

Fig.3 The evolution of spin-configurations for Co nanorings at r=40 nm, Z=10 nm

Fig.4 The evolution of spin-configurations for Co nanorings at r=40 nm, Z=30 nm

Fig.5 The hysteresis loops of the stacked Co nanoring arrays with different thickness at r=80 nm

Fig.6 The curves of M1/MS versus Z

Fig.7 The curve of ΔHfc versus Z

Fig.8 The curve of ΔHfc/V versus Z

References 27

1	HUSSAIN B , COTTAM M G , GE B . Magnonic bands in periodic arrays of vertically-stacked cylindrical magnetic nanoelements[J]. Solid State Communications, 2022, 342, 114588. DOI
2	SAAVEDRA E , RIVEROS A , PALMA J L . Effect of nonuniform perpendicular anisotropy in ferromagnetic resonance spectra in magnetic nanorings[J]. Scientific Reports, 2021, 11 (1): 17439. DOI
3	LIU J , LIU X , LU H , et al. Nonlocal absorption in gold and silver nanostructures[J]. Chinese Journal of Computational Physics, 2021, 38 (2): 206- 214.
4	WANG W , YIN H , PAN J , et al. Computer simulation of photomask-induced self-assembly of polymer/nanoparticle blends[J]. Chinese Journal of Computational Physics, 2022, 39 (5): 598- 608.
5	YAN S , XIANG S , LONG M , et al. Spin transport properties of zigzag graphene nanoribon junctions[J]. Chinese Journal Of Computational Physics, 2022, 39 (6): 751- 756.
6	LIANG Y , LI L , LU M , et al. Comparative investigation of sensing behaviors between gap and lattice plasmon modes in a metallic nanoring array[J]. Nanoscale, 2018, 10 (2): 548- 555. DOI
7	YANNOULEAS C , ROMANOVSKY I , LANDMAN U . Transport, Aharonov-Bohm, and topological effects in graphene molecular junctions and graphene nanorings[J]. The Journal of Physical Chemistry C, 2015, 119 (20): 11131- 11142. DOI
8	YE Q , CHEN S , LIU J , et al. Study of magnetic properties for co double-nanorings: Monte Carlo simulation[J]. Journal of Magnetism and Magnetic Materials, 2016, 408 (15): 1- 6.
9	KLÄUI M, VAZ C A F, MONCHESKY T L, et al. Spin configurations and classification of switching processes in ferromagnetic rings down to sub-100 nm[J]. Journal of Magnetism and Magnetic Materials, 2004, (272-276)(3): 1631-1636.
10	ZHANG W , SINGH R , BRAY-ALI N , et al. Scaling analysis and application: Phase diagram of magnetic nanorings and elliptical nanoparticles[J]. Physical Review B, 2008, 7 (14): 144428.
11	LIU X L , YANG Y , NG C T , et al. Magnetic vortex nanorings: A new class of hyperthermia agent for highly efficient in vivo regression of tumors[J]. Advanced Materials, 2015, 27 (11): 1939- 1944. DOI
12	IMRE A , CSABA G , METLUSHKO V , et al. Controlled domain wall motion in micron-scale permalloy square rings[J]. Physica E: Low Dimensional Systems and Nanostructures, 2003, 19 (1/2): 240- 245.
13	WANG Y , YU C , LI Y , et al. In vivo MRI tracking and therapeutic efficacy of transplanted mesenchymal stem cells labeled with ferrimagnetic vortex iron oxide nanorings for liver fibrosis repair[J]. Nanoscale, 2022, 14 (13): 5227- 5238. DOI
14	DAS R , MASA J A , KALAPPATTIL V , et al. Iron oxide nanorings and nanotubes for magnetic hyperthermia: The problem of intraparticle interactions.[J]. Nanomaterials, 2021, 11 (6): 1380. DOI
15	YE Q , CHEN S , ZHANG J , et al. Numerical simulation of magnetic properties for Co asymmetric nanorings[J]. International Journal of Modern Physics B, 2019, 33 (15): 1950155. DOI
16	林枝钦. 纳米环的磁特性的数值计算[D]. 福州: 福建师范大学, 2009.
17	YE Q , CHEN S , HUANG S , et al. Magnetic dynamic properties of defective cobalt nanorings: Monte Carlo simulation[J]. Journal of Magnetism and Magnetic Materials, 2019, 473 (3): 301- 305.
18	ZHONG K , FENG Q , WENG Z , et al. A fast fourier transformation micromagnetism method[J]. Chinese Journal of Computational Physics, 2005, 22 (6): 534- 538.
19	CASTAÑO F J , ROSS C A , FRANDSEN C , et al. Metastable states in magnetic nanorings[J]. Physical Review B, 2003, 67 (18): 184425- 184430. DOI
20	SINGH N , GOOLAUP S , TAN W , et al. Micromagnetics of derivative ring-shaped nanomagnets[J]. Physical Review B, 2007, 75 (10): 104407. DOI
21	BEKAERT J , BUNTINX D , VAN HAESENDONCK C V , et al. Noninvasive magnetic imaging and magnetization measurement of isolated mesoscopic Co rings[J]. Applied Physics Letters, 2002, 81 (18): 3413- 3415. DOI
22	DENG C , ZHANG X , CHEN S , et al. Magnetic properties of Fe nanorings with small defects[J]. Chinese Journal of Computational Physics, 2020, 37 (4): 473- 478.
23	LI S P , PEYRADE D , NATALI M , et al. Flux closure structures in cobalt rings[J]. Physical Review Letters, 2001, 86 (6): 1102- 1105. DOI
24	叶晴莹. 纳米环磁化动力学研究[D]. 福州: 福建师范大学, 2019.
25	NIRAULA G , TONETO D , JOSHY E , et al. Energy evolution, stabilization, and mechanotransducer properties of Fe₃O₄ vortex nanorings and nanodisks[J]. Physical Review Applied, 2021, 16 (2): 024002. DOI
26	ZHU X B , GRVTTER P , METLUSHKO V , et al. Construction of hysteresis loops of single domain elements and coupled permalloy ring arrays by magnetic force microscopy[J]. Journal of Applied Physics, 2003, 93 (10): 8540- 8542.
27	KLÄUI M , VAZ C A F , BLAND J A C , et al. Controlled magnetic switching in single narrow rings probed by magnetoresistance measurements[J]. Applied Physics Letters, 2002, 81 (1): 108- 110.

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