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Chin. Phys. B, 2020, Vol. 29(3): 037501    DOI: 10.1088/1674-1056/ab69e9

Three- and two-dimensional calculations for the interface anisotropy dependence of magnetic properties of exchange-spring Nd2Fe14B/α-Fe multilayers with out-of-plane easy axes

Qian Zhao(赵倩)1, Xin-Xin He(何鑫鑫)1, Francois-Jacques Morvan(李文瀚)2, Guo-Ping Zhao(赵国平)1,3, Zhu-Bai Li(李柱柏)1
1 Inner Mongolia Key Laboratory for Utilization of Bayan Obo Multi-Metallic Resources, Elected State Key Laboratory, Department of Applied Physics, College of Science, Inner Mongolia University of Science and Technology, Baotou 014010, China;
2 Ningbo Institute of Industrial Technology, Chinese Academy of Sciences, Ningbo 315201, China;
3 College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066, China
Abstract  Hysteresis loops, energy products and magnetic moment distributions of perpendicularly oriented Nd2Fe14B/α-Fe exchange-spring multilayers are studied systematically based on both three-dimensional (3D) and one-dimensional (1D) micromagnetic methods, focused on the influence of the interface anisotropy. The calculated results are carefully compared with each other. The interface anisotropy effect is very palpable on the nucleation, pinning and coercive fields when the soft layer is very thin. However, as the soft layer thickness increases, the pinning and coercive fields are almost unchanged with the increment of interface anisotropy though the nucleation field still monotonically rises. Negative interface anisotropy decreases the maximum energy products and increases slightly the angles between the magnetization and applied field. The magnetic moment distributions in the thickness direction at various applied fields demonstrate a progress of three-step magnetic reversal, i.e., nucleation, evolution and irreversible motion of the domain wall. The above results calculated by two models are in good agreement with each other. Moreover, the in-plane magnetic moment orientations based on two models are different. The 3D calculation shows a progress of generation and disappearance of vortex state, however, the magnetization orientations within the film plane calculated by the 1D model are coherent. Simulation results suggest that negative interface anisotropy is necessarily avoided experimentally.
Keywords:  micromagnetics      interface anisotropy      Nd2Fe14B/α-Fe multilayers      magnetic properties     
Received:  23 October 2019      Published:  05 March 2020
PACS:  75.70.Cn (Magnetic properties of interfaces (multilayers, superlattices, heterostructures))  
  75.40.Mg (Numerical simulation studies)  
  75.30.Gw (Magnetic anisotropy)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2016YFB0700900), the National Natural Science Foundation of China (Grant Nos. 51571126 and 51861030), the Inner Mongolia Autonomous Region Natural Science Foundation of China (Grant No. 2019MS01002), and the Inner Mongolia Innovative Research Team of China (Grant No. 3400102).
Corresponding Authors:  Qian Zhao, Guo-Ping Zhao     E-mail:;

Cite this article: 

Qian Zhao(赵倩), Xin-Xin He(何鑫鑫), Francois-Jacques Morvan(李文瀚), Guo-Ping Zhao(赵国平), Zhu-Bai Li(李柱柏) Three- and two-dimensional calculations for the interface anisotropy dependence of magnetic properties of exchange-spring Nd2Fe14B/α-Fe multilayers with out-of-plane easy axes 2020 Chin. Phys. B 29 037501

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