Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
Abstract
The recent experimental confirmation of a transformation between meron and skyrmion topological spin textures in the chiral magnet Co8Zn9Mn3 confirms that the skyrmion crystals discovered in 2009 are just the tip of the iceberg. Crystals of topological textures, including skyrmions, merons, vortices, and monopoles, can be stabilized by combining simple physical ingredients, such as lattice symmetry, frustration, and spin anisotropy. The current challenge is to find the combinations of these ingredients that produce specific topological spin textures. In this work, we report a simple mechanism for the stabilization of meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets. In particular, the meron/skyrmion crystals can form even in absence of magnetic field. The application of magnetic field leads to a rich variety of topological spin textures that survive in the long wavelength limit of the theory. When conduction electrons are coupled to the spins, these topological spin textures twist the electronic wave functions to induce Chern insulators and Weyl semimetals for specific band filling fractions.
- Authors:
-
[1];
[2];
[2];
[3]
- Univ. of Tennessee, Knoxville, TN (United States); Univ. of Minnesota, Minneapolis, MN (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA); National Aeronautics and Space Administration (NASA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1788157
- Alternate Identifier(s):
- OSTI ID: 1812667
- Report Number(s):
- LA-UR-20-29175
Journal ID: ISSN 2469-9950; TRN: US2210549
- Grant/Contract Number:
- AC05-00OR22725; SC0016371; 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Material Science
Citation Formats
Wang, Zhentao, Su, Ying, Lin, Shi-Zeng, and Batista, Cristian D. Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.104408.
Wang, Zhentao, Su, Ying, Lin, Shi-Zeng, & Batista, Cristian D. Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets. United States. https://doi.org/10.1103/physrevb.103.104408
Wang, Zhentao, Su, Ying, Lin, Shi-Zeng, and Batista, Cristian D. Thu .
"Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets". United States. https://doi.org/10.1103/physrevb.103.104408. https://www.osti.gov/servlets/purl/1788157.
@article{osti_1788157,
title = {Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets},
author = {Wang, Zhentao and Su, Ying and Lin, Shi-Zeng and Batista, Cristian D.},
abstractNote = {The recent experimental confirmation of a transformation between meron and skyrmion topological spin textures in the chiral magnet Co8Zn9Mn3 confirms that the skyrmion crystals discovered in 2009 are just the tip of the iceberg. Crystals of topological textures, including skyrmions, merons, vortices, and monopoles, can be stabilized by combining simple physical ingredients, such as lattice symmetry, frustration, and spin anisotropy. The current challenge is to find the combinations of these ingredients that produce specific topological spin textures. In this work, we report a simple mechanism for the stabilization of meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets. In particular, the meron/skyrmion crystals can form even in absence of magnetic field. The application of magnetic field leads to a rich variety of topological spin textures that survive in the long wavelength limit of the theory. When conduction electrons are coupled to the spins, these topological spin textures twist the electronic wave functions to induce Chern insulators and Weyl semimetals for specific band filling fractions.},
doi = {10.1103/physrevb.103.104408},
journal = {Physical Review. B},
number = 10,
volume = 103,
place = {United States},
year = {Thu Mar 04 00:00:00 EST 2021},
month = {Thu Mar 04 00:00:00 EST 2021}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
journal, September 2020
- Gao, Shang; Rosales, H. Diego; Gómez Albarracín, Flavia A.
- Nature, Vol. 586, Issue 7827
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958
- Dzyaloshinsky, I.
- Journal of Physics and Chemistry of Solids, Vol. 4, Issue 4
Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018
- Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin
- Reviews of Modern Physics, Vol. 90, Issue 1
Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
journal, May 2020
- Wang, Zhentao; Su, Ying; Lin, Shi-Zeng
- Physical Review Letters, Vol. 124, Issue 20
Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet
journal, August 2009
- Yi, Su Do; Onoda, Shigeki; Nagaosa, Naoto
- Physical Review B, Vol. 80, Issue 5
Electronic orbital currents and polarization in Mott insulators
journal, July 2008
- Bulaevskii, L. N.; Batista, C. D.; Mostovoy, M. V.
- Physical Review B, Vol. 78, Issue 2
Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy
journal, May 2016
- Hayami, Satoru; Lin, Shi-Zeng; Batista, Cristian D.
- Physical Review B, Vol. 93, Issue 18
II. On vortex atoms
journal, July 1867
- Thomson, William
- The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 34, Issue 227
Skyrmion Lattice in a Chiral Magnet
journal, February 2009
- Muhlbauer, S.; Binz, B.; Jonietz, F.
- Science, Vol. 323, Issue 5916
Frustration and chiral orderings in correlated electron systems
journal, July 2016
- Batista, Cristian D.; Lin, Shi-Zeng; Hayami, Satoru
- Reports on Progress in Physics, Vol. 79, Issue 8
Real-space Berry curvature of itinerant electron systems with spin-orbit interaction
journal, January 2020
- Zhang, Shang-Shun; Ishizuka, Hiroaki; Zhang, Hao
- Physical Review B, Vol. 101, Issue 2
New Mechanism of Anisotropic Superexchange Interaction
journal, March 1960
- Moriya, Tôru
- Physical Review Letters, Vol. 4, Issue 5
Square skyrmion crystal in centrosymmetric itinerant magnets
journal, January 2021
- Hayami, Satoru; Motome, Yukitoshi
- Physical Review B, Vol. 103, Issue 2
Transformation between meron and skyrmion topological spin textures in a chiral magnet
journal, December 2018
- Yu, X. Z.; Koshibae, W.; Tokunaga, Y.
- Nature, Vol. 564, Issue 7734
Kramers Degeneracy in a Magnetic Field and Zeeman Spin-Orbit Coupling in Antiferromagnetic Conductors
journal, September 2008
- Ramazashvili, Revaz
- Physical Review Letters, Vol. 101, Issue 13
Magnetic Vortex Crystals in Frustrated Mott Insulator
journal, February 2014
- Kamiya, Y.; Batista, C. D.
- Physical Review X, Vol. 4, Issue 1
Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011
- Burkov, A. A.; Balents, Leon
- Physical Review Letters, Vol. 107, Issue 12
Exotic skyrmion crystals in chiral magnets with compass anisotropy
journal, July 2016
- Chen, J. P.; Zhang, Dan-Wei; Liu, J. -M.
- Scientific Reports, Vol. 6, Issue 1
Interaction Between the Shells in the Transition Metals
journal, February 1951
- Zener, C.
- Physical Review, Vol. 81, Issue 3
Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
journal, September 2015
- Leonov, A. O.; Mostovoy, M.
- Nature Communications, Vol. 6, Issue 1
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
journal, February 2016
- Lin, Shi-Zeng; Hayami, Satoru
- Physical Review B, Vol. 93, Issue 6
Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
journal, May 2020
- Khanh, Nguyen Duy; Nakajima, Taro; Yu, Xiuzhen
- Nature Nanotechnology, Vol. 15, Issue 6
Robust metastable skyrmions and their triangular–square lattice structural transition in a high-temperature chiral magnet
journal, September 2016
- Karube, K.; White, J. S.; Reynolds, N.
- Nature Materials, Vol. 15, Issue 12
Multiple- States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet under Magnetic Fields
journal, January 2012
- Okubo, Tsuyoshi; Chung, Sungki; Kawamura, Hikaru
- Physical Review Letters, Vol. 108, Issue 1
A non-linear field theory
journal, February 1961
- Skyrme, T. H. R.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 260, Issue 1300, p. 127-138
Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
journal, June 2015
- Lin, Shi-Zeng; Saxena, Avadh; Batista, Cristian D.
- Physical Review B, Vol. 91, Issue 22
LXIII. On Integrals of the hydrodynamical equations, which express vortex-motion
journal, January 1867
- Helmholtz, H.
- The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 33, Issue 226
The Origins of Skyrmions
journal, December 1988
- Skyrme, T. H. R.
- International Journal of Modern Physics A, Vol. 03, Issue 12
Direct Observation of Cycloidal Spin Modulation and Field-induced Transition in Néel-type Skyrmion-hosting VOSe 2 O 5
journal, February 2021
- Kurumaji, Takashi; Nakajima, Taro; Feoktystov, Artem
- Journal of the Physical Society of Japan, Vol. 90, Issue 2
Vortex Crystals with Chiral Stripes in Itinerant Magnets
journal, October 2016
- Ozawa, Ryo; Hayami, Satoru; Barros, Kipton
- Journal of the Physical Society of Japan, Vol. 85, Issue 10
Néel-Type Skyrmion Lattice in the Tetragonal Polar Magnet
journal, December 2017
- Kurumaji, Takashi; Nakajima, Taro; Ukleev, Victor
- Physical Review Letters, Vol. 119, Issue 23
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011
- Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin
- Physical Review B, Vol. 83, Issue 20
Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
journal, September 2015
- Wang, Zhentao; Kamiya, Yoshitomo; Nevidomskyy, Andriy H.
- Physical Review Letters, Vol. 115, Issue 10
Zero-Field Skyrmions with a High Topological Number in Itinerant Magnets
journal, April 2017
- Ozawa, Ryo; Hayami, Satoru; Motome, Yukitoshi
- Physical Review Letters, Vol. 118, Issue 14
Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
text, January 2015
- Leonov, A. O.; Mostovoy, M.
- arXiv
Zero-field Skyrmions with a High Topological Number in Itinerant Magnets
text, January 2017
- Ozawa, Ryo; Hayami, Satoru; Motome, Yukitoshi
- arXiv
Topological Magnetic Phase in the Candidate Weyl Semimetal CeAlGe
text, January 2020
- Puphal, P.; Pomjakushin, V.; Kanazawa, N.
- arXiv