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Li X, Yu H, Lou F, Feng J, Whangbo MH, Xiang H. Spin Hamiltonians in Magnets: Theories and Computations. Molecules 2021; 26:803. [PMID: 33557181 PMCID: PMC7913993 DOI: 10.3390/molecules26040803] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/24/2020] [Revised: 02/01/2021] [Accepted: 02/02/2021] [Indexed: 11/16/2022] Open
Abstract
The effective spin Hamiltonian method has drawn considerable attention for its power to explain and predict magnetic properties in various intriguing materials. In this review, we summarize different types of interactions between spins (hereafter, spin interactions, for short) that may be used in effective spin Hamiltonians as well as the various methods of computing the interaction parameters. A detailed discussion about the merits and possible pitfalls of each technique of computing interaction parameters is provided.
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Affiliation(s)
- Xueyang Li
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China; (X.L.); (H.Y.); (F.L.); (J.F.)
- Shanghai Qi Zhi Institute, Shanghai 200232, China
| | - Hongyu Yu
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China; (X.L.); (H.Y.); (F.L.); (J.F.)
- Shanghai Qi Zhi Institute, Shanghai 200232, China
| | - Feng Lou
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China; (X.L.); (H.Y.); (F.L.); (J.F.)
- Shanghai Qi Zhi Institute, Shanghai 200232, China
| | - Junsheng Feng
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China; (X.L.); (H.Y.); (F.L.); (J.F.)
- School of Physics and Materials Engineering, Hefei Normal University, Hefei 230601, China
| | - Myung-Hwan Whangbo
- Department of Chemistry, North Carolina State University, Raleigh, NC 27695-8204, USA;
| | - Hongjun Xiang
- Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China; (X.L.); (H.Y.); (F.L.); (J.F.)
- Shanghai Qi Zhi Institute, Shanghai 200232, China
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Abstract
To explore the further possibilities of nanometer-thick ferromagnetic films (ultrathin ferromagnetic films), we investigated the ferromagnetic resonance (FMR) of 1 nm-thick Co film. Whilst an FMR signal was not observed for the Co film grown on a SiO2 substrate, the insertion of a 3 nm-thick amorphous Ta buffer layer beneath the Co enabled the detection of a salient FMR signal, which was attributed to the smooth surface of the amorphous Ta. This result implies the excitation of FMR in an ultrathin ferromagnetic film, which can pave the way to controlling magnons in ultrathin ferromagnetic films.
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Jin MH, Zheng B, Xiong L, Zhou NJ, Wang L. Numerical simulations of critical dynamics in anisotropic magnetic films with the stochastic Landau-Lifshitz-Gilbert equation. Phys Rev E 2018; 98:022126. [PMID: 30253625 DOI: 10.1103/physreve.98.022126] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2018] [Indexed: 06/08/2023]
Abstract
With the stochastic Landau-Lifshitz-Gilbert (sLLG) equation, critical dynamic behaviors far from equilibrium or stationary around the order-disorder and pinning-depinning phase transitions in anisotropic magnetic films are investigated. From the dynamic relaxation with and without an external field, the Curie temperature and critical exponents of the order-disorder phase transition are accurately determined. For the pinning-depinning phase transition induced by quenched disorder, the nonstationary creep motion of domain wall activated by finite temperatures is simulated, and the thermal rounding exponent is extracted. The results show that the dynamic universality class of the sLLG equation is different from those of the Monte Carlo dynamics and quenched Edwards-Wilkinson equation, and it may lead to alternative understanding of experiments. The dynamic approach shows its great efficiency for the sLLG equation.
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Affiliation(s)
- M H Jin
- Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, People's Republic of China
| | - B Zheng
- Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, People's Republic of China
| | - L Xiong
- Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, People's Republic of China
| | - N J Zhou
- Department of Physics, Hangzhou Normal University, Hangzhou 310036, People's Republic of China
| | - L Wang
- Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
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Voltage-Controlled Magnetic Anisotropy in Fe 1-xCo x/Pd/MgO system. Sci Rep 2018; 8:10362. [PMID: 29985395 PMCID: PMC6037784 DOI: 10.1038/s41598-018-28445-3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2018] [Accepted: 06/22/2018] [Indexed: 11/18/2022] Open
Abstract
Voltage-controlled magnetic anisotropy (VCMA) in an epitaxially grown Fe/Fe1−xCox/Pd/MgO system was investigated using spin-wave spectroscopy. The spin-wave resonant frequency linearly depended on the bias-voltage. The resonant-frequency shift increased with the Co fraction in Fe1−xCox/Pd. We achieved a VCMA of approximately 250 fJ/Vm at the Co/Pd/MgO region.
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Yamada KT, Suzuki M, Pradipto AM, Koyama T, Kim S, Kim KJ, Ono S, Taniguchi T, Mizuno H, Ando F, Oda K, Kakizakai H, Moriyama T, Nakamura K, Chiba D, Ono T. Microscopic Investigation into the Electric Field Effect on Proximity-Induced Magnetism in Pt. PHYSICAL REVIEW LETTERS 2018; 120:157203. [PMID: 29756866 DOI: 10.1103/physrevlett.120.157203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2017] [Indexed: 06/08/2023]
Abstract
Electric field effects on magnetism in metals have attracted widespread attention, but the microscopic mechanism is still controversial. We experimentally show the relevancy between the electric field effect on magnetism and on the electronic structure in Pt in a ferromagnetic state using element-specific measurements: x-ray magnetic circular dichroism (XMCD) and x-ray absorption spectroscopy (XAS). Electric fields are applied to the surface of ultrathin metallic Pt, in which a magnetic moment is induced by the ferromagnetic proximity effect resulting from a Co underlayer. XMCD and XAS measurements performed under the application of electric fields reveal that both the spin and orbital magnetic moments of Pt atoms are electrically modulated, which can be explained not only by the electric-field-induced shift of the Fermi level but also by the change in the orbital hybridizations.
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Affiliation(s)
- K T Yamada
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - M Suzuki
- Japan Synchrotron Radiation Research Institute, Sayo, Hyogo 679-5198, Japan
| | - A-M Pradipto
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
- Department of Physics Engineering, Mie University, Tsu, Mie 514-8507, Japan
| | - T Koyama
- Department of Applied Physics, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - S Kim
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - K-J Kim
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - S Ono
- Central Research Institute of Electric Power Industry, Yokosuka, Kanagawa 240-0196, Japan
| | - T Taniguchi
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - H Mizuno
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - F Ando
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - K Oda
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - H Kakizakai
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - T Moriyama
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - K Nakamura
- Department of Physics Engineering, Mie University, Tsu, Mie 514-8507, Japan
| | - D Chiba
- Department of Applied Physics, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - T Ono
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
- Center for Spintronics Research Network (CSRN), Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
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Liang L, Chen Q, Lu J, Talsma W, Shan J, Blake GR, Palstra TTM, Ye J. Inducing ferromagnetism and Kondo effect in platinum by paramagnetic ionic gating. SCIENCE ADVANCES 2018; 4:eaar2030. [PMID: 29740612 PMCID: PMC5938224 DOI: 10.1126/sciadv.aar2030] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/12/2017] [Accepted: 02/16/2018] [Indexed: 06/08/2023]
Abstract
Electrically controllable magnetism, which requires the field-effect manipulation of both charge and spin degrees of freedom, has attracted growing interest since the emergence of spintronics. We report the reversible electrical switching of ferromagnetic (FM) states in platinum (Pt) thin films by introducing paramagnetic ionic liquid (PIL) as the gating media. The paramagnetic ionic gating controls the movement of ions with magnetic moments, which induces itinerant ferromagnetism on the surface of Pt films, with large coercivity and perpendicular anisotropy mimicking the ideal two-dimensional Ising-type FM state. The electrical transport of the induced FM state shows Kondo effect at low temperature, suggesting spatially separated coexistence of Kondo scattering beneath the FM interface. The tunable FM state indicates that paramagnetic ionic gating could serve as a versatile method to induce rich transport phenomena combining field effect and magnetism at PIL-gated interfaces.
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Hsu PJ, Kubetzka A, Finco A, Romming N, von Bergmann K, Wiesendanger R. Electric-field-driven switching of individual magnetic skyrmions. NATURE NANOTECHNOLOGY 2017; 12:123-126. [PMID: 27819694 DOI: 10.1038/nnano.2016.234] [Citation(s) in RCA: 84] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/29/2016] [Accepted: 09/27/2016] [Indexed: 06/06/2023]
Abstract
Controlling magnetism with electric fields is a key challenge to develop future energy-efficient devices. The present magnetic information technology is mainly based on writing processes requiring either local magnetic fields or spin torques, but it has also been demonstrated that magnetic properties can be altered on the application of electric fields. This has been ascribed to changes in magnetocrystalline anisotropy caused by spin-dependent screening and modifications of the band structure, changes in atom positions or differences in hybridization with an adjacent oxide layer. However, the switching between states related by time reversal, for example magnetization up and down as used in the present technology, is not straightforward because the electric field does not break time-reversal symmetry. Several workarounds have been applied to toggle between bistable magnetic states with electric fields, including changes of material composition as a result of electric fields. Here we demonstrate that local electric fields can be used to switch reversibly between a magnetic skyrmion and the ferromagnetic state. These two states are topologically inequivalent, and we find that the direction of the electric field directly determines the final state. This observation establishes the possibility to combine electric-field writing with the recently envisaged skyrmion racetrack-type memories.
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Affiliation(s)
- Pin-Jui Hsu
- Department of Physics, University of Hamburg, 20355 Hamburg, Germany
| | - André Kubetzka
- Department of Physics, University of Hamburg, 20355 Hamburg, Germany
| | - Aurore Finco
- Department of Physics, University of Hamburg, 20355 Hamburg, Germany
| | - Niklas Romming
- Department of Physics, University of Hamburg, 20355 Hamburg, Germany
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Chiba D. ELECTROCHEMISTRY 2017; 85:100-104. [DOI: 10.5796/electrochemistry.85.100] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
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Obinata A, Hibino Y, Hayakawa D, Koyama T, Miwa K, Ono S, Chiba D. Electric-field control of magnetic moment in Pd. Sci Rep 2015; 5:14303. [PMID: 26391306 PMCID: PMC4585744 DOI: 10.1038/srep14303] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2014] [Accepted: 08/24/2015] [Indexed: 11/21/2022] Open
Abstract
Several magnetic properties have recently become tunable with an applied electric field. Particularly, electrically controlled magnetic phase transitions and/or magnetic moments have attracted attention because they are the most fundamental parameters in ferromagnetic materials. In this study, we showed that an electric field can be used to control the magnetic moment in films made of Pd, usually a non-magnetic element. Pd ultra-thin films were deposited on ferromagnetic Pt/Co layers. In the Pd layer, a ferromagnetically ordered magnetic moment was induced by the ferromagnetic proximity effect. By applying an electric field to the ferromagnetic surface of this Pd layer, a clear change was observed in the magnetic moment, which was measured directly using a superconducting quantum interference device magnetometer. The results indicate that magnetic moments extrinsically induced in non-magnetic elements by the proximity effect, as well as an intrinsically induced magnetic moments in ferromagnetic elements, as reported previously, are electrically tunable. The results of this study suggest a new avenue for answering the fundamental question of "can an electric field make naturally non-magnetic materials ferromagnetic?".
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Affiliation(s)
- Aya Obinata
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - Yuki Hibino
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - Daichi Hayakawa
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - Tomohiro Koyama
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
| | - Kazumoto Miwa
- Central Research Institute of Electric Power Industry, Komae, Tokyo 201-8511, Japan
| | - Shimpei Ono
- Central Research Institute of Electric Power Industry, Komae, Tokyo 201-8511, Japan
| | - Daichi Chiba
- Department of Applied Physics, Faculty of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan
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