Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy
Abstract
Here we clarify the conditions for the emergence of multiple-Q structures out of lattice and easy-axis spin anisotropy in frustrated magnets. By considering magnets whose exchange interaction has multiple global minima in momentum space, we find that both types of anisotropy stabilize triple-Q orderings. Moderate anisotropy leads to a magnetic field-induced skyrmion crystal, which evolves into a bubble crystal for increasing spatial and spin anisotropy. Lastly, the bubble crystal exhibits a quasi-continuous (devil’s staircase) temperature dependent ordering wave-vector, characteristic of the competition between frustrated exchange and strong easy-axis anisotropy.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division; Hokkaido Univ., Sapporo (Japan). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Condensed Matter Division
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1304725
- Alternate Identifier(s):
- OSTI ID: 1253023; OSTI ID: 1338738
- Report Number(s):
- LA-UR-16-22603; LA-UR-16-20104
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 18; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; skyrmion crystals; frustrated magnets; anisotropy; bubble crystal; Material Science
Citation Formats
Hayami, Satoru, Lin, Shi-Zeng, and Batista, Cristian D. Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.93.184413.
Hayami, Satoru, Lin, Shi-Zeng, & Batista, Cristian D. Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy. United States. https://doi.org/10.1103/PhysRevB.93.184413
Hayami, Satoru, Lin, Shi-Zeng, and Batista, Cristian D. Thu .
"Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy". United States. https://doi.org/10.1103/PhysRevB.93.184413. https://www.osti.gov/servlets/purl/1304725.
@article{osti_1304725,
title = {Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy},
author = {Hayami, Satoru and Lin, Shi-Zeng and Batista, Cristian D.},
abstractNote = {Here we clarify the conditions for the emergence of multiple-Q structures out of lattice and easy-axis spin anisotropy in frustrated magnets. By considering magnets whose exchange interaction has multiple global minima in momentum space, we find that both types of anisotropy stabilize triple-Q orderings. Moderate anisotropy leads to a magnetic field-induced skyrmion crystal, which evolves into a bubble crystal for increasing spatial and spin anisotropy. Lastly, the bubble crystal exhibits a quasi-continuous (devil’s staircase) temperature dependent ordering wave-vector, characteristic of the competition between frustrated exchange and strong easy-axis anisotropy.},
doi = {10.1103/PhysRevB.93.184413},
journal = {Physical Review B},
number = 18,
volume = 93,
place = {United States},
year = {Thu May 12 00:00:00 EDT 2016},
month = {Thu May 12 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
A New Type of Antiferromagnetic Structure in the Rutile Type Crystal
journal, June 1959
- Yoshimori, Akio
- Journal of the Physical Society of Japan, Vol. 14, Issue 6
Some Effects of Anisotropy on Spiral Spin-Configurations with Application to Rare-Earth Metals
journal, October 1961
- Kaplan, T. A.
- Physical Review, Vol. 124, Issue 2
Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons
journal, October 1954
- Ruderman, M. A.; Kittel, C.
- Physical Review, Vol. 96, Issue 1
A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model
journal, July 1956
- Kasuya, Tadao
- Progress of Theoretical Physics, Vol. 16, Issue 1
Magnetic Properties of Cu-Mn Alloys
journal, June 1957
- Yosida, Kei
- Physical Review, Vol. 106, Issue 5
Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models
journal, October 2008
- Martin, Ivar; Batista, C. D.
- Physical Review Letters, Vol. 101, Issue 15
Spin Chirality Ordering and Anomalous Hall Effect in the Ferromagnetic Kondo Lattice Model on a Triangular Lattice
journal, August 2010
- Akagi, Yutaka; Motome, Yukitoshi
- Journal of the Physical Society of Japan, Vol. 79, Issue 8
Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model
journal, December 2010
- Kato, Yasuyuki; Martin, Ivar; Batista, C. D.
- Physical Review Letters, Vol. 105, Issue 26
Hidden Multiple-Spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
journal, February 2012
- Akagi, Yutaka; Udagawa, Masafumi; Motome, Yukitoshi
- Physical Review Letters, Vol. 108, Issue 9
Efficient Langevin simulation of coupled classical fields and fermions
journal, December 2013
- Barros, Kipton; Kato, Yasuyuki
- Physical Review B, Vol. 88, Issue 23
Multiple- instability by -dimensional connections of Fermi surfaces
journal, August 2014
- Hayami, Satoru; Motome, Yukitoshi
- Physical Review B, Vol. 90, Issue 6
Spin Disorder on a Triangular Lattice
journal, September 2005
- Nakatsuji, S.
- Science, Vol. 309, Issue 5741
Inelastic neutron scattering investigation of the magnetic excitations in the helimagnetic state of NiBr2
journal, January 1982
- Régnault, L. P.; Rossat-Mignod, J.; Adam, A.
- Journal de Physique, Vol. 43, Issue 8
Neutron diffraction study of the incommensurate magnetic phase of Ni 0.92 Zn 0.08 Br 2
journal, August 1981
- Day, P.; Moore, M. W.; Wilkinson, C.
- Journal of Physics C: Solid State Physics, Vol. 14, Issue 23
Phase transitions with spontaneous modulation-the dipolar Ising ferromagnet
journal, July 1982
- Garel, T.; Doniach, S.
- Physical Review B, Vol. 26, Issue 1
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
Thermodynamically stable magnetic vortex states in magnetic crystals
journal, December 1994
- Bogdanov, A.; Hubert, A.
- Journal of Magnetism and Magnetic Materials, Vol. 138, Issue 3
Spontaneous skyrmion ground states in magnetic metals
journal, August 2006
- Rößler, U. K.; Bogdanov, A. N.; Pfleiderer, C.
- Nature, Vol. 442, Issue 7104, p. 797-801
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
Magnetic Vortex Crystals in Frustrated Mott Insulator
journal, February 2014
- Kamiya, Y.; Batista, C. D.
- Physical Review X, Vol. 4, Issue 1
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
Novel phases in a square-lattice frustrated ferromagnet : -magnetization plateau, helicoidal spin liquid, and vortex crystal
journal, February 2016
- Seabra, Luis; Sindzingre, Philippe; Momoi, Tsutomu
- Physical Review B, Vol. 93, Issue 8
Phases of a Triangular-Lattice Antiferromagnet Near Saturation
journal, August 2014
- Starykh, Oleg A.; Jin, Wen; Chubukov, Andrey V.
- Physical Review Letters, Vol. 113, Issue 8
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 22
Steady-State Motion of Magnetic Domains
journal, February 1973
- Thiele, A. A.
- Physical Review Letters, Vol. 30, Issue 6
Hexatic-to-liquid melting transition in two-dimensional magnetic-bubble lattices
journal, May 1991
- Seshadri, R.; Westervelt, R. M.
- Physical Review Letters, Vol. 66, Issue 21
Infinitely Many Commensurate Phases in a Simple Ising Model
journal, June 1980
- Fisher, Michael E.; Selke, Walter
- Physical Review Letters, Vol. 44, Issue 23
The ANNNI model — Theoretical analysis and experimental application
journal, November 1988
- Selke, W.
- Physics Reports, Vol. 170, Issue 4
Magnetic phase diagrams and helical magnetic phases inMxNi1−xBr2 (M =Fe, Mn): A neutron diffraction and magneto-optical study
journal, August 1985
- Moore, Martin W.; Day, Peter
- Journal of Solid State Chemistry, Vol. 59, Issue 1
Observation of a Complex Nanoscale Magnetic Structure in a Hexagonal Fe Monolayer
journal, April 2006
- von Bergmann, K.; Heinze, S.; Bode, M.
- Physical Review Letters, Vol. 96, Issue 16
Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions
journal, July 2011
- Heinze, Stefan; von Bergmann, Kirsten; Menzel, Matthias
- Nature Physics, Vol. 7, Issue 9
Infinitely Many Commensurate Phases in a Simple Ising Model.
journal, July 1980
- Fisher, Michael E.; Selke, Walter
- Physical Review Letters, Vol. 45, Issue 2
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, December 1966
- Mermin, N. D.; Wagner, H.
- Physical Review Letters, Vol. 17, Issue 26
Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
text, January 2010
- Kato, Yasuyuki; Martin, Ivar; Batista, C. D.
- arXiv
Efficient Langevin Simulation of Coupled Classical Fields and Fermions
text, January 2013
- Barros, Kipton; Kato, Yasuyuki
- arXiv
Phases of triangular lattice antiferromagnet near saturation
text, January 2014
- Starykh, Oleg A.; Jin, Wen; Chubukov, Andrey V.
- arXiv
Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
text, January 2015
- Wang, Zhentao; Kamiya, Yoshitomo; Nevidomskyy, Andriy H.
- arXiv
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
text, January 2015
- Lin, Shi-Zeng; Hayami, Satoru
- arXiv
Works referencing / citing this record:
Current‐Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet
journal, November 2019
- Hou, Zhipeng; Zhang, Qiang; Zhang, Xichao
- Advanced Materials, Vol. 32, Issue 1
Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets
journal, May 2019
- Yu, Jianhe; Li, Weihao; Huang, Zongpeng
- physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11
Edge states and skyrmion dynamics in nanostripes of frustrated magnets
journal, February 2017
- Leonov, A. O.; Mostovoy, M.
- Nature Communications, Vol. 8, Issue 1
Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4
journal, October 2016
- Gao, Shang; Zaharko, Oksana; Tsurkan, Vladimir
- Nature Physics, Vol. 13, Issue 2
Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition
journal, November 2017
- Zhang, Xichao; Xia, Jing; Zhou, Yan
- Nature Communications, Vol. 8, Issue 1
Skyrmion phase and competing magnetic orders on a breathing kagomé lattice
journal, December 2019
- Hirschberger, Max; Nakajima, Taro; Gao, Shang
- Nature Communications, Vol. 10, Issue 1
Creation and Annihilation of Skyrmions in the Frustrated Magnets with Competing Exchange Interactions
journal, November 2017
- Hu, Yong; Chi, Xiaodan; Li, Xuesi
- Scientific Reports, Vol. 7, Issue 1
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
Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets
journal, May 2018
- Liang, J. J.; Yu, J. H.; Chen, J.
- New Journal of Physics, Vol. 20, Issue 5
Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic Bilayer
journal, April 2019
- Xia, Jing; Zhang, Xichao; Ezawa, Motohiko
- Physical Review Applied, Vol. 11, Issue 4
Cluster glass behavior of the frustrated birnessites
journal, December 2019
- Kulish, L. D.; Scholtens, R.; Blake, G. R.
- Physical Review B, Vol. 100, Issue 21
Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
journal, November 2016
- Hayami, Satoru; Lin, Shi-Zeng; Kamiya, Yoshitomo
- Physical Review B, Vol. 94, Issue 17
Skyrmions and multisublattice helical states in a frustrated chiral magnet
journal, October 2017
- Yuan, H. Y.; Gomonay, O.; Kläui, Mathias
- Physical Review B, Vol. 96, Issue 13
Effect of magnetic anisotropy on skyrmions with a high topological number in itinerant magnets
journal, March 2019
- Hayami, Satoru; Motome, Yukitoshi
- Physical Review B, Vol. 99, Issue 9
Dynamical and Reversible Control of Topological Spin Textures
journal, April 2017
- Stepanov, E. A.; Dutreix, C.; Katsnelson, M. I.
- Physical Review Letters, Vol. 118, Issue 15
Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
journal, August 2019
- Li, Mengqun; Perkins, Natalia B.; Rousochatzakis, Ioannis
- Physical Review Research, Vol. 1, Issue 1
Disordered skyrmion phase stabilized by magnetic frustration in a chiral magnet
journal, September 2018
- Karube, Kosuke; White, Jonathan S.; Morikawa, Daisuke
- Science Advances, Vol. 4, Issue 9
Spiral spin structures and skyrmions in multiferroics
journal, September 2019
- Kurumaji, Takashi
- Physical Sciences Reviews, Vol. 5, Issue 1
Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model
journal, December 2019
- Sharafullin, Ildus F.; Diep, Hung T.
- Symmetry, Vol. 12, Issue 1
Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets
journal, May 2019
- Yu, Jianhe; Li, Weihao; Huang, Zongpeng
- physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11
Spiral spin-liquid and the emergence of a vortex-like state in MnSc$_2$S$_4$
text, January 2016
- Gao, Shang; Zaharko, Oksana; Tsurkan, Vladmir
- arXiv
Skyrmions with attractive interactions in an ultrathin magnetic film
text, January 2016
- Rózsa, Levente; Deák, András; Simon, Eszter
- arXiv
Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
text, January 2016
- Hayami, Satoru; Lin, Shi-Zeng; Kamiya, Yoshitomo
- arXiv
Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition
text, January 2017
- Zhang, Xichao; Xia, Jing; Zhou, Yan
- arXiv
Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
text, January 2017
- Hayami, Satoru; Ozawa, Ryo; Motome, Yukitoshi
- arXiv
Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets
text, January 2017
- Liang, J. J.; Yu, J. H.; Chen, J.
- arXiv
Principal Chiral Model in Correlated Electron Systems
text, January 2018
- Batista, Cristian D.; Shifman, Mikhail; Wang, Zhentao
- arXiv
Skyrmion crystals in frustrated Shastry-Sutherland magnets
text, January 2018
- Yu, J. H.; Li, W. H.; Huang, Z. P.
- arXiv
The dynamics of bimeron skyrmions in easy-plane magnets induced by a spin supercurrent
text, January 2019
- Kim, Se Kwon
- arXiv
Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets
text, January 2019
- Heil, Benjamin; Rosch, Achim; Masell, Jan
- arXiv
Current-Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet
text, January 2019
- Hou, Zhipeng; Zhang, Qiang; Zhang, Xichao
- arXiv
Skyrmion Crystal and Phase Transition in Magneto-Ferroelectric Superlattices: Dzyaloshinskii-Moriya Interaction in a Frustrated $J_1-J_2$ Model
text, January 2019
- Sharafullin, Ildus F.; Diep, H. T.
- arXiv