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Xiao C, Wu W, Wang H, Huang YX, Feng X, Liu H, Guo GY, Niu Q, Yang SA. Time-Reversal-Even Nonlinear Current Induced Spin Polarization. PHYSICAL REVIEW LETTERS 2023; 130:166302. [PMID: 37154629 DOI: 10.1103/physrevlett.130.166302] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2022] [Accepted: 03/23/2023] [Indexed: 05/10/2023]
Abstract
We propose a time-reversal-even spin generation in second order of electric fields, which dominates the current induced spin polarization in a wide class of centrosymmetric nonmagnetic materials, and leads to a novel nonlinear spin-orbit torque in magnets. We reveal a quantum origin of this effect from the momentum space dipole of the anomalous spin polarizability. First-principles calculations predict sizable spin generations in several nonmagnetic hcp metals, in monolayer TiTe_{2}, and in ferromagnetic monolayer MnSe_{2}, which can be detected in experiment. Our work opens up the broad vista of nonlinear spintronics in both nonmagnetic and magnetic systems.
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Affiliation(s)
- Cong Xiao
- Department of Physics, The University of Hong Kong, Hong Kong, People's Republic of China
- HKU-UCAS Joint Institute of Theoretical and Computational Physics at Hong Kong, Hong Kong, China
| | - Weikang Wu
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials, Ministry of Education, Shandong University, Jinan 250061, People's Republic of China
| | - Hui Wang
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore 487372, Singapore
| | - Yue-Xin Huang
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore 487372, Singapore
| | - Xiaolong Feng
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore 487372, Singapore
| | - Huiying Liu
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore 487372, Singapore
- School of Physics, Beihang University, Beijing 100191, China
| | - Guang-Yu Guo
- Department of Physics, National Taiwan University, Taipei 10617, Taiwan, Republic of China
- Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan, Republic of China
| | - Qian Niu
- School of Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
| | - Shengyuan A Yang
- Research Laboratory for Quantum Materials, Singapore University of Technology and Design, Singapore 487372, Singapore
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Zhao R, Zhang Y, Xiao Y, Liu W. Exact two-component relativistic energy band theory and application. J Chem Phys 2016; 144:044105. [DOI: 10.1063/1.4940140] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Rundong Zhao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People’s Republic of China
| | - Yong Zhang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People’s Republic of China
| | - Yunlong Xiao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People’s Republic of China
| | - Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, People’s Republic of China
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Guo GY, Murakami S, Chen TW, Nagaosa N. Intrinsic spin Hall effect in platinum: first-principles calculations. PHYSICAL REVIEW LETTERS 2008; 100:096401. [PMID: 18352731 DOI: 10.1103/physrevlett.100.096401] [Citation(s) in RCA: 69] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/19/2007] [Indexed: 05/26/2023]
Abstract
Spin Hall effect (SHE) is studied with first-principles relativistic band calculations for platinum, which is one of the most important materials for metallic SHE and spintronics. We find that intrinsic spin Hall conductivity (SHC) is as large as approximately 2000(variant Planck's over 2 pi/e)(Omega cm)(-1) at low temperature and decreases down to approximately 200(variant Planck's over 2 pi/e)(Omega cm)(-1) at room temperature. It is due to the resonant contribution from the spin-orbit splitting of the doubly degenerated d bands at high-symmetry L and X points near the Fermi level. By modeling these near degeneracies by an effective Hamiltonian, we show that SHC has a peak near the Fermi energy and that the vertex correction due to impurity scattering vanishes. We therefore argue that the large SHE observed experimentally in platinum is of intrinsic nature.
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Affiliation(s)
- G Y Guo
- Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan.
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Guo GY, Yao Y, Niu Q. Ab initio calculation of the intrinsic spin Hall effect in semiconductors. PHYSICAL REVIEW LETTERS 2005; 94:226601. [PMID: 16090421 DOI: 10.1103/physrevlett.94.226601] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2004] [Indexed: 05/03/2023]
Abstract
Relativistic band theoretical calculations reveal that intrinsic spin Hall conductivity in hole-doped archetypical semiconductors Ge, GaAs, and AlAs is large [approximately 100(planck/e)(Omega cm)(-1)], showing the possibility of a spin Hall effect beyond the four-band Luttinger Hamiltonian. The calculated orbital-angular-momentum (orbital) Hall conductivity is one order of magnitude smaller, indicating no cancellation between the spin and orbital Hall effects in bulk semiconductors. Furthermore, it is found that the spin Hall effect can be strongly manipulated by strains, and that the ac spin Hall conductivity is large in pure as well as doped semiconductors.
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Affiliation(s)
- G Y Guo
- Department of Physics, National Taiwan University, Taipei 106, Taiwan.
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Tyer R, van der Laan G, Temmerman WM, Szotek Z. Comment on "Systematics of the induced magnetic moments in 5d layers and the violation of the third Hund's rule". PHYSICAL REVIEW LETTERS 2003; 90:129701-129702. [PMID: 12688915 DOI: 10.1103/physrevlett.90.129701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2002] [Indexed: 05/24/2023]
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Relativistic Density Functional Theory. ACTA ACUST UNITED AC 2003. [DOI: 10.1007/978-94-017-0105-1_11] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Geipel NJ, Heβ BA. Scalar-relativistic effects in solids in the framework of a Douglas-Kroll transformed Dirac-Coulomb Hamiltonian. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00553-8] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Antonov VN, Perlov AY, Oppeneer PM, Yaresko AN, Halilov SV. Mechanism of the Giant Magnetoresistance in UNiGa from First-Principles Calculations. PHYSICAL REVIEW LETTERS 1996; 77:5253-5256. [PMID: 10062754 DOI: 10.1103/physrevlett.77.5253] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Freeman AJ. Self-consistent relativistic full-potential Korringa-Kohn-Rostoker total-energy method and applications. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:11187-11198. [PMID: 9984902 DOI: 10.1103/physrevb.54.11187] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Suvasini MB, Guo GY, Temmerman WM, Gehring GA, Biasini M. The Fermi surface of [Formula: see text]. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 1996; 8:7105-7125. [PMID: 22146124 DOI: 10.1088/0953-8984/8/38/014] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The heavy-fermion compound [Formula: see text] has been studied using the fully relativistic spin-polarized mean muffin-tin orbital method within the local density approximation. Two separate calculations, one where the f electron is treated as a valence electron and the other where it is treated as part of the core, have been performed and the Fermi surface is obtained. The angular-dependent de Haas - van Alphen (dHvA) frequencies are calculated in both cases and they are compared with the experimental dHvA frequencies. We also calculated the electron momentum densities and compared them with the electron - positron momentum densities measured from the two-dimensional angular correlation of electron - positron annihilation radiation. The spin polarization of the Fermi surface is analysed and we present a new interpretation of the experimental data of Harrison et al.
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Affiliation(s)
- M B Suvasini
- Department of Physics, University of Sheffield, Sheffield S3 7RH, UK
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Shick AB, Drchal V, Kudrnovsk J, Weinberger P. Electronic structure and magnetic properties of random alloys: Fully relativistic spin-polarized linear muffin-tin-orbital method. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:1610-1621. [PMID: 9986004 DOI: 10.1103/physrevb.54.1610] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ebert H, Freyer H, Vernes A, Guo G. Manipulation of the spin-orbit coupling using the Dirac equation for spin-dependent potentials. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:7721-7726. [PMID: 9982216 DOI: 10.1103/physrevb.53.7721] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Uba S, Uba L, Yaresko AN, Perlov AY, Antonov VN, Gontarz R. Optical and magneto-optical properties of Co/Pt multilayers. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:6526-6535. [PMID: 9982053 DOI: 10.1103/physrevb.53.6526] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Guo GY, Ebert H. First-principles study of the magnetic hyperfine field in Fe and Co multilayers. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2492-2503. [PMID: 9983753 DOI: 10.1103/physrevb.53.2492] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kraft T, Oppeneer PM, Antonov VN, Eschrig H. Relativistic calculations of the magneto-optical Kerr spectra in (001) and (111) US, USe, and UTe. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:3561-3570. [PMID: 9981480 DOI: 10.1103/physrevb.52.3561] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Guo GY, Ebert H. Band-theoretical investigation of the magneto-optical Kerr effect in Fe and Co multilayers. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:12633-12643. [PMID: 9978034 DOI: 10.1103/physrevb.51.12633] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Szunyogh L, Újfalussy B, Weinberger P. Magnetic anisotropy of iron multilayers on Au(001): First-principles calculations in terms of the fully relativistic spin-polarized screened KKR method. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:9552-9559. [PMID: 9977617 DOI: 10.1103/physrevb.51.9552] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hague CF, Mariot J, Guo GY, Hricovini K, Krill G. Coster-Kronig contributions to magnetic circular dichroism in the L2,3 x-ray fluorescence of iron. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:1370-1373. [PMID: 9978308 DOI: 10.1103/physrevb.51.1370] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Guo GY, Ebert H. Theoretical investigation of the orientation dependence of the magneto-optical Kerr effect in Co. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10377-10380. [PMID: 9975132 DOI: 10.1103/physrevb.50.10377] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Guo GY, Ebert H, Temmerman WM, Durham PJ. First-principles calculation of magnetic x-ray dichroism in Fe and Co multilayers. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:3861-3868. [PMID: 9976664 DOI: 10.1103/physrevb.50.3861] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Suvasini MB, Guo GY, Temmerman WM, Gehring GA. Metamagnetic transition and magnetic properties of UPt3. PHYSICAL REVIEW LETTERS 1993; 71:2983-2986. [PMID: 10054828 DOI: 10.1103/physrevlett.71.2983] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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McMullan GJ, Pilgram DD, Marshall A. Fermi surface and band structure of ferromagnetic cobalt. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:3789-3797. [PMID: 10004102 DOI: 10.1103/physrevb.46.3789] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Oppeneer PM, Maurer T, Sticht J, Kübler J. Ab initio calculated magneto-optical Kerr effect of ferromagnetic metals: Fe and Ni. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:10924-10933. [PMID: 10001013 DOI: 10.1103/physrevb.45.10924] [Citation(s) in RCA: 107] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lander GH, Brooks MS, Johansson B. Orbital band magnetism in actinide intermetallics. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:13672-13675. [PMID: 9997214 DOI: 10.1103/physrevb.43.13672] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Daalderop GH, Kelly PJ, Schuurmans MF. First-principles calculation of the magnetocrystalline anisotropy energy of iron, cobalt, and nickel. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:11919-11937. [PMID: 9993644 DOI: 10.1103/physrevb.41.11919] [Citation(s) in RCA: 135] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cortona P. Simplified method for fully relativistic spin-polarized density-functional calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:12105-12110. [PMID: 9991839 DOI: 10.1103/physrevb.40.12105] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Hübner W, Bennemann K. Nonlinear magneto-optical Kerr effect on a nickel surface. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:5973-5979. [PMID: 9992661 DOI: 10.1103/physrevb.40.5973] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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