Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling
Abstract
The over 60 years old Rashba-Dresselhaus effect predicts spin-orbit coupling (SOC) induced momentum-dependent spin splitting and spin polarization in materials with noncentrosymmetric structures. Strong SOC induced effects usually require high-atomic number (Z) elements such as rare-earth elements. It has recently been pointed out that antiferromagnets could hold SOC-independent spin splitting and spin polarization. In the present work we develop the spatial and magnetic symmetry conditions enabling such antiferromagnet (AFM)-induced spin splitting, dividing the 1651 magnetic space groups into seven different spin splitting prototypes (SST-1 to SST-7). This analysis places the physics of AFM spin splitting (SST-4) within the broader context of symmetry conditions that enable the more familiar forms of spin splitting, such as ferromagnetic Zeeman effect (SST-5), nonmagnetic no spin splitting (SST-6), and the nonmagnetic Rashba and Dresselhaus effects (SST-7). The AFM-induced spin splitting and spin polarization do not necessarily require breaking of inversion symmetry or the presence of SOC, hence can exist even in centrosymmetric, low-Z light element compounds, considerably broadening the material base for spin manipulations. We use the “inverse design” approach of first formulating the target property (here, spin splitting in low-Z compounds not restricted to low symmetry structures), then derive the enabling physical design principles—themore »
- Authors:
-
- Univ. of Colorado, Boulder, CO (United States)
- Chinese Academy of Sciences (CAS), Beijing (China)
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1851384
- Grant/Contract Number:
- SC0010467; DMR-1724791; 61888102
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Materials
- Additional Journal Information:
- Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2475-9953
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; antiferromagnetism; electronic structure; magnetism; spin polarization; spin-orbit coupling; spintronics
Citation Formats
Yuan, Lin-Ding, Wang, Zhi, Luo, Jun-Wei, and Zunger, Alex. Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling. United States: N. p., 2021.
Web. doi:10.1103/physrevmaterials.5.014409.
Yuan, Lin-Ding, Wang, Zhi, Luo, Jun-Wei, & Zunger, Alex. Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling. United States. https://doi.org/10.1103/physrevmaterials.5.014409
Yuan, Lin-Ding, Wang, Zhi, Luo, Jun-Wei, and Zunger, Alex. Tue .
"Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling". United States. https://doi.org/10.1103/physrevmaterials.5.014409. https://www.osti.gov/servlets/purl/1851384.
@article{osti_1851384,
title = {Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling},
author = {Yuan, Lin-Ding and Wang, Zhi and Luo, Jun-Wei and Zunger, Alex},
abstractNote = {The over 60 years old Rashba-Dresselhaus effect predicts spin-orbit coupling (SOC) induced momentum-dependent spin splitting and spin polarization in materials with noncentrosymmetric structures. Strong SOC induced effects usually require high-atomic number (Z) elements such as rare-earth elements. It has recently been pointed out that antiferromagnets could hold SOC-independent spin splitting and spin polarization. In the present work we develop the spatial and magnetic symmetry conditions enabling such antiferromagnet (AFM)-induced spin splitting, dividing the 1651 magnetic space groups into seven different spin splitting prototypes (SST-1 to SST-7). This analysis places the physics of AFM spin splitting (SST-4) within the broader context of symmetry conditions that enable the more familiar forms of spin splitting, such as ferromagnetic Zeeman effect (SST-5), nonmagnetic no spin splitting (SST-6), and the nonmagnetic Rashba and Dresselhaus effects (SST-7). The AFM-induced spin splitting and spin polarization do not necessarily require breaking of inversion symmetry or the presence of SOC, hence can exist even in centrosymmetric, low-Z light element compounds, considerably broadening the material base for spin manipulations. We use the “inverse design” approach of first formulating the target property (here, spin splitting in low-Z compounds not restricted to low symmetry structures), then derive the enabling physical design principles—the magnetic symmetry conditions—to search realizable compounds that satisfy these a priori design principles. This process uncovers 422 magnetic space groups (160 centrosymmetric and 262 noncentrosymmetric) that could hold AFM-induced, SOC-independent spin splitting and spin polarization. We then search for stable compounds following such enabling symmetries. We investigate the electronic and spin structures of some selected prototype compounds by density functional theory (DFT) and find spin textures that are different than the traditional Rashba-Dresselhaus patterns and exist even in the absence of SOC effect. We provide the DFT results for all antiferromagnetic spin splitting prototypes (SST-1, SST-2, SST-3, SST-4), and concentrate on two limits of SST-4 that are particularly unusual: When spin splitting is momentum dependent (just like the Rashba effect) but is enabled in antiferromagnets even in the absence of SOC in the Hamiltonian. This includes examples of (a) centrosymmetric SST-4A compounds (e.g., orthorhombic LaMnO3 illustrating collinear AFM, as well as cubic NiS2 illustrating noncollinear AFM) and (b) noncentrosymmetric SST-4B compounds (e.g., rhombohedral MnTiO3 illustrating collinear AFM and hexagonal ScMnO3 illustrating noncollinear AFM). The symmetry design principles outlined here, along with their transformation into an inverse design material search approach and DFT verification, could open the way to their experimental examination.},
doi = {10.1103/physrevmaterials.5.014409},
journal = {Physical Review Materials},
number = 1,
volume = 5,
place = {United States},
year = {Tue Jan 19 00:00:00 EST 2021},
month = {Tue Jan 19 00:00:00 EST 2021}
}
Works referenced in this record:
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Spin waves in the antiferromagnet perovskite LaMn : A neutron-scattering study
journal, December 1996
- Moussa, F.; Hennion, M.; Rodriguez-Carvajal, J.
- Physical Review B, Vol. 54, Issue 21
Magnetic structure of hexagonal Thermal evolution from neutron powder diffraction data
journal, October 2000
- Muñoz, A.; Alonso, J. A.; Martínez-Lope, M. J.
- Physical Review B, Vol. 62, Issue 14
Extrinsic point defects in aluminum antimonide
journal, May 2010
- Erhart, Paul; Åberg, Daniel; Lordi, Vincenzo
- Physical Review B, Vol. 81, Issue 19
X-Ray Determination of Electron-Density Distributions in Oxides, MgO, MnO, CoO, and NiO, and Atomic Scattering Factors of their Constituent Atoms
journal, January 1979
- Sasaki, Satoshi; Fujino, Kiyoshi; TakÉUchi, Yoshio
- Proceedings of the Japan Academy. Ser. B: Physical and Biological Sciences, Vol. 55, Issue 2
Energies of Formation of Metal Vacancies in II-VI Semiconducting Tellurides (HgTe, CdTe, ZnTe)
journal, January 1968
- Bailly, F.
- Physica Status Solidi (b), Vol. 25, Issue 1
Spin Hall effect emerging from a noncollinear magnetic lattice without spin–orbit coupling
journal, July 2018
- Zhang, Yang; Železný, Jakub; Sun, Yan
- New Journal of Physics, Vol. 20, Issue 7
Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study
journal, January 1998
- Dudarev, S. L.; Botton, G. A.; Savrasov, S. Y.
- Physical Review B, Vol. 57, Issue 3, p. 1505-1509
Doping- and pressure-induced change of electrical and magnetic properties in the Mott-Hubbard insulator
journal, October 1993
- Okada, Y.; Arima, T.; Tokura, Y.
- Physical Review B, Vol. 48, Issue 13
Giant momentum-dependent spin splitting in centrosymmetric low- antiferromagnets
journal, July 2020
- Yuan, Lin-Ding; Wang, Zhi; Luo, Jun-Wei
- Physical Review B, Vol. 102, Issue 1
The crystallographic and magnetic structures of La1−xBaxMn1−xMexO3 (Me = Mn or Ti)
journal, May 1971
- Elemans, Jacqueline B. A. A.; Van Laar, B.; Van Der Veen, K. R.
- Journal of Solid State Chemistry, Vol. 3, Issue 2
Spin-Polarized Current in Noncollinear Antiferromagnets
journal, November 2017
- Železný, Jakub; Zhang, Yang; Felser, Claudia
- Physical Review Letters, Vol. 119, Issue 18
Band-Gap Design of Quaternary (In,Ga)(As,Sb) Semiconductors via the Inverse-Band-Structure Approach
journal, May 2008
- Piquini, Paulo; Graf, Peter A.; Zunger, Alex
- Physical Review Letters, Vol. 100, Issue 18
Inverse Design of High Absorption Thin-Film Photovoltaic Materials
journal, August 2012
- Yu, Liping; Kokenyesi, Robert S.; Keszler, Douglas A.
- Advanced Energy Materials, Vol. 3, Issue 1
Electronic, magnetic and dielectric properties of multiferroic MnTiO 3
journal, April 2012
- Deng, Xiaohui; Lu, Wei; Wang, Hai
- Journal of Materials Research, Vol. 27, Issue 11
Magnetic neutron scattering study of ordered Mn3Ir
journal, October 1999
- Tomeno, Izumi; Fuke, Hiromi N.; Iwasaki, Hitoshi
- Journal of Applied Physics, Vol. 86, Issue 7
Density Functional Theory of Electronic Structure
journal, January 1996
- Kohn, W.; Becke, A. D.; Parr, R. G.
- The Journal of Physical Chemistry, Vol. 100, Issue 31
Hidden spin polarization in inversion-symmetric bulk crystals
journal, April 2014
- Zhang, Xiuwen; Liu, Qihang; Luo, Jun-Wei
- Nature Physics, Vol. 10, Issue 5
Thousandfold Change in Resistivity in Magnetoresistive La-Ca-Mn-O Films
journal, April 1994
- Jin, S.; Tiefel, T. H.; McCormack, M.
- Science, Vol. 264, Issue 5157
Bulk Rashba effect in multiferroics: A theoretical prediction for
journal, December 2019
- Yamauchi, Kunihiko; Barone, Paolo; Picozzi, Silvia
- Physical Review B, Vol. 100, Issue 24
XXXII. On the influence of magnetism on the nature of the light emitted by a substance
journal, March 1897
- Zeeman, P.
- The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 43, Issue 262
Demonstration of molecular beam epitaxy and a semiconducting band structure for I-Mn-V compounds
journal, January 2011
- Jungwirth, T.; Novák, V.; Martí, X.
- Physical Review B, Vol. 83, Issue 3
Anomalous Hall Effect Arising from Noncollinear Antiferromagnetism
journal, January 2014
- Chen, Hua; Niu, Qian; MacDonald, A. H.
- Physical Review Letters, Vol. 112, Issue 1
Linear response approach to the calculation of the effective interaction parameters in the method
journal, January 2005
- Cococcioni, Matteo; de Gironcoli, Stefano
- Physical Review B, Vol. 71, Issue 3
Antiferromagnetic Structures of Mn , Mn , and Mn
journal, July 1959
- Hastings, J. M.; Elliott, N.; Corliss, L. M.
- Physical Review, Vol. 115, Issue 1
Magnetic structure of
journal, January 2016
- Yano, S.; Louca, Despina; Yang, J.
- Physical Review B, Vol. 93, Issue 2
MATERIALS SCIENCE: The Renaissance of Magnetoelectric Multiferroics
journal, July 2005
- Spaldin, N. A.
- Science, Vol. 309, Issue 5733
Spintronics: Fundamentals and applications
journal, April 2004
- Žutić, Igor; Fabian, Jaroslav; Das Sarma, S.
- Reviews of Modern Physics, Vol. 76, Issue 2
Searching for Alloy Configurations with Target Physical Properties: Impurity Design via a Genetic Algorithm Inverse Band Structure Approach
journal, July 2006
- Dudiy, S. V.; Zunger, Alex
- Physical Review Letters, Vol. 97, Issue 4
The emergence of spin electronics in data storage
journal, November 2007
- Chappert, Claude; Fert, Albert; Van Dau, Frédéric Nguyen
- Nature Materials, Vol. 6, Issue 11
Spin Structure and Magnetic Properties of NiS 2
journal, February 1978
- Kikuchi, Katsuya; Miyadai, Tomonao; Fukui, Tsunaomi
- Journal of the Physical Society of Japan, Vol. 44, Issue 2
Direct evidence for a half-metallic ferromagnet
journal, April 1998
- Park, J. -H.; Vescovo, E.; Kim, H. -J.
- Nature, Vol. 392, Issue 6678
Magnetic structures of the metal monoxides NiO and CoO re-investigated by spherical neutron polarimetry
journal, November 2006
- Ressouche, Eric; Kernavanois, Nolwenn; Regnault, Louis-Pierre
- Physica B: Condensed Matter, Vol. 385-386
Antiferromagnetic spintronics
journal, February 2018
- Baltz, V.; Manchon, A.; Tsoi, M.
- Reviews of Modern Physics, Vol. 90, Issue 1
Surface and bulk magnetic properties of pyrite : Magnetization and neutron-scattering studies
journal, August 1995
- Thio, Tineke; Bennett, J. W.; Thurston, T. R.
- Physical Review B, Vol. 52, Issue 5
MAGNDATA : towards a database of magnetic structures. I. The commensurate case
journal, September 2016
- Gallego, Samuel V.; Perez-Mato, J. Manuel; Elcoro, Luis
- Journal of Applied Crystallography, Vol. 49, Issue 5
Antiferromagnetic structure in tetragonal CuMnAs thin films
journal, November 2015
- Wadley, P.; Hills, V.; Shahedkhah, M. R.
- Scientific Reports, Vol. 5, Issue 1
Crystal structure and magnetic properties of hexagonal Lu, and Sc) and the effect of doping
journal, October 2002
- Katsufuji, T.; Masaki, M.; Machida, A.
- Physical Review B, Vol. 66, Issue 13
First-principles study of the electric, magnetic, and orbital structure in perovskite ScMnO 3
journal, January 2019
- Song, Guang; Chen, Yuting; Li, Guannan
- RSC Advances, Vol. 9, Issue 4
Special points for Brillouin-zone integrations
journal, June 1976
- Monkhorst, Hendrik J.; Pack, James D.
- Physical Review B, Vol. 13, Issue 12, p. 5188-5192
The Effect of Magnetisation on the Nature of Light Emitted by a Substance
journal, February 1897
- Zeeman, P.
- Nature, Vol. 55, Issue 1424
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
The inverse band-structure problem of finding an atomic configuration with given electronic properties
journal, November 1999
- Franceschetti, Alberto; Zunger, Alex
- Nature, Vol. 402, Issue 6757
Inverse design in search of materials with target functionalities
journal, March 2018
- Zunger, Alex
- Nature Reviews Chemistry, Vol. 2, Issue 4
Room-temperature spin–orbit torque in NiMnSb
journal, May 2016
- Ciccarelli, C.; Anderson, L.; Tshitoyan, V.
- Nature Physics, Vol. 12, Issue 9
FINDSYM : program for identifying the space-group symmetry of a crystal
journal, January 2005
- Stokes, Harold T.; Hatch, Dorian M.
- Journal of Applied Crystallography, Vol. 38, Issue 1
Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation
journal, September 1992
- Perdew, John P.; Chevary, J. A.; Vosko, S. H.
- Physical Review B, Vol. 46, Issue 11
The present and the future of spintronics
journal, November 2008
- Fert, Albert
- Thin Solid Films, Vol. 517, Issue 1
Weak ferromagnetism and domain effects in multiferroic LiNbO -type MnTiO -II
journal, September 2013
- Arévalo-López, Angel M.; Attfield, J. Paul
- Physical Review B, Vol. 88, Issue 10
Synthesis and Structure of Perovskite ScMnO 3
journal, August 2013
- Chen, Haiyan; Yu, Tian; Gao, Peng
- Inorganic Chemistry, Vol. 52, Issue 16
Exchange bias
journal, February 1999
- Nogués, J.; Schuller, Ivan K.
- Journal of Magnetism and Magnetic Materials, Vol. 192, Issue 2
Multiferroics: a magnetic twist for ferroelectricity
journal, January 2007
- Cheong, Sang-Wook; Mostovoy, Maxim
- Nature Materials, Vol. 6, Issue 1
Antiferromagnetic spintronics
journal, March 2016
- Jungwirth, T.; Marti, X.; Wadley, P.
- Nature Nanotechnology, Vol. 11, Issue 3
Electronic, structural, and magnetic properties of phase transition at high temperature
journal, January 2016
- Rivero, Pablo; Meunier, Vincent; Shelton, William
- Physical Review B, Vol. 93, Issue 2
Point defects in II–VI compounds
journal, January 1983
- Taguchi, T.; Ray, B.
- Progress in Crystal Growth and Characterization, Vol. 6, Issue 2
Mott gapping in perovskites without Mott-Hubbard interelectronic repulsion energy U
journal, July 2019
- Varignon, Julien; Bibes, Manuel; Zunger, Alex
- Physical Review B, Vol. 100, Issue 3
Paramagnetic phase in single-crystal
journal, December 1999
- Zhou, J. -S.; Goodenough, J. B.
- Physical Review B, Vol. 60, Issue 22
Focus on the Rashba effect
journal, May 2015
- Bihlmayer, G.; Rader, O.; Winkler, R.
- New Journal of Physics, Vol. 17, Issue 5
New perspectives for Rashba spin–orbit coupling
journal, August 2015
- Manchon, A.; Koo, H. C.; Nitta, J.
- Nature Materials, Vol. 14, Issue 9
XIX. Zur systematischen Strukturtheorie. III
journal, November 1930
- Heesch, H.
- Zeitschrift für Kristallographie - Crystalline Materials, Vol. 73, Issue 1-6