Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy

Hayami, Satoru; Lin, Shi-Zeng; Batista, Cristian D.

doi:10.1103/PhysRevB.93.184413

Title: Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy

Journal Article · Thu May 12 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.93.184413· OSTI ID:1304725

Hayami, Satoru ^[1]; Lin, Shi-Zeng ^[2]; Batista, Cristian D. ^[3]

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

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1304725

Alternate ID(s):: OSTI ID: 1253023; OSTI ID: 1338738

Report Number(s):: LA-UR-16-22603; LA-UR-16-20104; PRBMDO

Journal Information:: Physical Review B, Vol. 93, Issue 18; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 118 works

Citation information provided by
Web of Science

References (39)

A New Type of Antiferromagnetic Structure in the Rutile Type Crystal Yoshimori, Akio Journal of the Physical Society of Japan, Vol. 14, Issue 6 https://doi.org/10.1143/JPSJ.14.807	journal	June 1959
Some Effects of Anisotropy on Spiral Spin-Configurations with Application to Rare-Earth Metals Kaplan, T. A. Physical Review, Vol. 124, Issue 2 https://doi.org/10.1103/PhysRev.124.329	journal	October 1961
Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons Ruderman, M. A.; Kittel, C. Physical Review, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRev.96.99	journal	October 1954
A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model Kasuya, Tadao Progress of Theoretical Physics, Vol. 16, Issue 1 https://doi.org/10.1143/PTP.16.45	journal	July 1956
Magnetic Properties of Cu-Mn Alloys Yosida, Kei Physical Review, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRev.106.893	journal	June 1957
Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models Martin, Ivar; Batista, C. D. Physical Review Letters, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevLett.101.156402	journal	October 2008
Spin Chirality Ordering and Anomalous Hall Effect in the Ferromagnetic Kondo Lattice Model on a Triangular Lattice Akagi, Yutaka; Motome, Yukitoshi Journal of the Physical Society of Japan, Vol. 79, Issue 8 https://doi.org/10.1143/JPSJ.79.083711	journal	August 2010
Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model Kato, Yasuyuki; Martin, Ivar; Batista, C. D. Physical Review Letters, Vol. 105, Issue 26 https://doi.org/10.1103/PhysRevLett.105.266405	journal	December 2010
Hidden Multiple-Spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models Akagi, Yutaka; Udagawa, Masafumi; Motome, Yukitoshi Physical Review Letters, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevLett.108.096401	journal	February 2012
Efficient Langevin simulation of coupled classical fields and fermions Barros, Kipton; Kato, Yasuyuki Physical Review B, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevB.88.235101	journal	December 2013
Multiple- $Q$ instability by $(d - 2)$ -dimensional connections of Fermi surfaces Hayami, Satoru; Motome, Yukitoshi Physical Review B, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevB.90.060402	journal	August 2014
Spin Disorder on a Triangular Lattice Nakatsuji, S. Science, Vol. 309, Issue 5741 https://doi.org/10.1126/science.1114727	journal	September 2005
Inelastic neutron scattering investigation of the magnetic excitations in the helimagnetic state of NiBr2 Régnault, L. P.; Rossat-Mignod, J.; Adam, A. Journal de Physique, Vol. 43, Issue 8 https://doi.org/10.1051/jphys:019820043080128300	journal	January 1982
Neutron diffraction study of the incommensurate magnetic phase of Ni _0.92 Zn _0.08 Br ₂ Day, P.; Moore, M. W.; Wilkinson, C. Journal of Physics C: Solid State Physics, Vol. 14, Issue 23 https://doi.org/10.1088/0022-3719/14/23/018	journal	August 1981
Phase transitions with spontaneous modulation-the dipolar Ising ferromagnet Garel, T.; Doniach, S. Physical Review B, Vol. 26, Issue 1 https://doi.org/10.1103/PhysRevB.26.325	journal	July 1982
Multiple- $q$ States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet under Magnetic Fields Okubo, Tsuyoshi; Chung, Sungki; Kawamura, Hikaru Physical Review Letters, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevLett.108.017206	journal	January 2012
Thermodynamically stable magnetic vortex states in magnetic crystals Bogdanov, A.; Hubert, A. Journal of Magnetism and Magnetic Materials, Vol. 138, Issue 3 https://doi.org/10.1016/0304-8853(94)90046-9	journal	December 1994
Spontaneous skyrmion ground states in magnetic metals Rößler, U. K.; Bogdanov, A. N.; Pfleiderer, C. Nature, Vol. 442, Issue 7104, p. 797-801 https://doi.org/10.1038/nature05056	journal	August 2006
Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet Leonov, A. O.; Mostovoy, M. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9275	journal	September 2015
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions Lin, Shi-Zeng; Hayami, Satoru Physical Review B, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevB.93.064430	journal	February 2016
Magnetic Vortex Crystals in Frustrated Mott Insulator Kamiya, Y.; Batista, C. D. Physical Review X, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevX.4.011023	journal	February 2014
Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets Wang, Zhentao; Kamiya, Yoshitomo; Nevidomskyy, Andriy H. Physical Review Letters, Vol. 115, Issue 10 https://doi.org/10.1103/PhysRevLett.115.107201	journal	September 2015
Novel phases in a square-lattice frustrated ferromagnet : $\frac{1}{3}$ -magnetization plateau, helicoidal spin liquid, and vortex crystal Seabra, Luis; Sindzingre, Philippe; Momoi, Tsutomu Physical Review B, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevB.93.085132	journal	February 2016
Phases of a Triangular-Lattice Antiferromagnet Near Saturation Starykh, Oleg A.; Jin, Wen; Chubukov, Andrey V. Physical Review Letters, Vol. 113, Issue 8 https://doi.org/10.1103/PhysRevLett.113.087204	journal	August 2014
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Steady-State Motion of Magnetic Domains Thiele, A. A. Physical Review Letters, Vol. 30, Issue 6 https://doi.org/10.1103/PhysRevLett.30.230	journal	February 1973
Hexatic-to-liquid melting transition in two-dimensional magnetic-bubble lattices Seshadri, R.; Westervelt, R. M. Physical Review Letters, Vol. 66, Issue 21 https://doi.org/10.1103/PhysRevLett.66.2774	journal	May 1991
Infinitely Many Commensurate Phases in a Simple Ising Model Fisher, Michael E.; Selke, Walter Physical Review Letters, Vol. 44, Issue 23 https://doi.org/10.1103/PhysRevLett.44.1502	journal	June 1980
The ANNNI model — Theoretical analysis and experimental application Selke, W. Physics Reports, Vol. 170, Issue 4 https://doi.org/10.1016/0370-1573(88)90140-8	journal	November 1988
Magnetic phase diagrams and helical magnetic phases inMxNi1−xBr2 (M =Fe, Mn): A neutron diffraction and magneto-optical study Moore, Martin W.; Day, Peter Journal of Solid State Chemistry, Vol. 59, Issue 1 https://doi.org/10.1016/0022-4596(85)90347-0	journal	August 1985
Observation of a Complex Nanoscale Magnetic Structure in a Hexagonal Fe Monolayer von Bergmann, K.; Heinze, S.; Bode, M. Physical Review Letters, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevLett.96.167203	journal	April 2006
Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions Heinze, Stefan; von Bergmann, Kirsten; Menzel, Matthias Nature Physics, Vol. 7, Issue 9 https://doi.org/10.1038/nphys2045	journal	July 2011
Infinitely Many Commensurate Phases in a Simple Ising Model. Fisher, Michael E.; Selke, Walter Physical Review Letters, Vol. 45, Issue 2 https://doi.org/10.1103/physrevlett.45.148.4	journal	July 1980
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 26 https://doi.org/10.1103/physrevlett.17.1307	journal	December 1966
Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model Kato, Yasuyuki; Martin, Ivar; Batista, C. D. arXiv https://doi.org/10.48550/arxiv.1009.3059	text	January 2010
Efficient Langevin Simulation of Coupled Classical Fields and Fermions Barros, Kipton; Kato, Yasuyuki arXiv https://doi.org/10.48550/arxiv.1303.1101	text	January 2013
Phases of triangular lattice antiferromagnet near saturation Starykh, Oleg A.; Jin, Wen; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1404.1046	text	January 2014
Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets Wang, Zhentao; Kamiya, Yoshitomo; Nevidomskyy, Andriy H. arXiv https://doi.org/10.48550/arxiv.1504.06270	text	January 2015
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions Lin, Shi-Zeng; Hayami, Satoru arXiv https://doi.org/10.48550/arxiv.1512.05012	text	January 2015

Cited By (32)

Current‐Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet Hou, Zhipeng; Zhang, Qiang; Zhang, Xichao Advanced Materials, Vol. 32, Issue 1 https://doi.org/10.1002/adma.201904815	journal	November 2019
Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets Yu, Jianhe; Li, Weihao; Huang, Zongpeng physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11 https://doi.org/10.1002/pssr.201900161	journal	May 2019
Edge states and skyrmion dynamics in nanostripes of frustrated magnets Leonov, A. O.; Mostovoy, M. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14394	journal	February 2017
Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4 Gao, Shang; Zaharko, Oksana; Tsurkan, Vladimir Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3914	journal	October 2016
Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition Zhang, Xichao; Xia, Jing; Zhou, Yan Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01785-w	journal	November 2017
Skyrmion phase and competing magnetic orders on a breathing kagomé lattice Hirschberger, Max; Nakajima, Taro; Gao, Shang Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13675-4	journal	December 2019
Creation and Annihilation of Skyrmions in the Frustrated Magnets with Competing Exchange Interactions Hu, Yong; Chi, Xiaodan; Li, Xuesi Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-16348-8	journal	November 2017
Frustration and chiral orderings in correlated electron systems Batista, Cristian D.; Lin, Shi-Zeng; Hayami, Satoru Reports on Progress in Physics, Vol. 79, Issue 8 https://doi.org/10.1088/0034-4885/79/8/084504	journal	July 2016
Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets Liang, J. J.; Yu, J. H.; Chen, J. New Journal of Physics, Vol. 20, Issue 5 https://doi.org/10.1088/1367-2630/aac24c	journal	May 2018
Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic Bilayer Xia, Jing; Zhang, Xichao; Ezawa, Motohiko Physical Review Applied, Vol. 11, Issue 4 https://doi.org/10.1103/physrevapplied.11.044046	journal	April 2019
Cluster glass behavior of the frustrated birnessites $A_{x} Mn O_{2} \cdot y H_{2} O (A = Na, K)$ Kulish, L. D.; Scholtens, R.; Blake, G. R. Physical Review B, Vol. 100, Issue 21 https://doi.org/10.1103/physrevb.100.214435	journal	December 2019
Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities Hayami, Satoru; Lin, Shi-Zeng; Kamiya, Yoshitomo Physical Review B, Vol. 94, Issue 17 https://doi.org/10.1103/physrevb.94.174420	journal	November 2016
Skyrmions and multisublattice helical states in a frustrated chiral magnet Yuan, H. Y.; Gomonay, O.; Kläui, Mathias Physical Review B, Vol. 96, Issue 13 https://doi.org/10.1103/physrevb.96.134415	journal	October 2017
Effect of magnetic anisotropy on skyrmions with a high topological number in itinerant magnets Hayami, Satoru; Motome, Yukitoshi Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/physrevb.99.094420	journal	March 2019
Dynamical and Reversible Control of Topological Spin Textures Stepanov, E. A.; Dutreix, C.; Katsnelson, M. I. Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/physrevlett.118.157201	journal	April 2017
Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets Li, Mengqun; Perkins, Natalia B.; Rousochatzakis, Ioannis Physical Review Research, Vol. 1, Issue 1 https://doi.org/10.1103/physrevresearch.1.013002	journal	August 2019
Disordered skyrmion phase stabilized by magnetic frustration in a chiral magnet Karube, Kosuke; White, Jonathan S.; Morikawa, Daisuke Science Advances, Vol. 4, Issue 9 https://doi.org/10.1126/sciadv.aar7043	journal	September 2018
Spiral spin structures and skyrmions in multiferroics Kurumaji, Takashi Physical Sciences Reviews, Vol. 5, Issue 1 https://doi.org/10.1515/psr-2019-0016	journal	September 2019
Skyrmion Crystals and Phase Transitions in Magneto-Ferroelectric Superlattices: Dzyaloshinskii–Moriya Interaction in a Frustrated J1 − J2 Model Sharafullin, Ildus F.; Diep, Hung T. Symmetry, Vol. 12, Issue 1 https://doi.org/10.3390/sym12010026	journal	December 2019
Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets Yu, Jianhe; Li, Weihao; Huang, Zongpeng physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11 https://doi.org/10.1002/pssr.201970040	journal	May 2019
Spiral spin-liquid and the emergence of a vortex-like state in MnSc$_2$S$_4$ Gao, Shang; Zaharko, Oksana; Tsurkan, Vladmir arXiv https://doi.org/10.48550/arxiv.1605.04199	text	January 2016
Skyrmions with attractive interactions in an ultrathin magnetic film Rózsa, Levente; Deák, András; Simon, Eszter arXiv https://doi.org/10.48550/arxiv.1606.02464	text	January 2016
Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities Hayami, Satoru; Lin, Shi-Zeng; Kamiya, Yoshitomo arXiv https://doi.org/10.48550/arxiv.1607.07100	text	January 2016
Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition Zhang, Xichao; Xia, Jing; Zhou, Yan arXiv https://doi.org/10.48550/arxiv.1703.07501	text	January 2017
Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets Hayami, Satoru; Ozawa, Ryo; Motome, Yukitoshi arXiv https://doi.org/10.48550/arxiv.1703.07690	text	January 2017
Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets Liang, J. J.; Yu, J. H.; Chen, J. arXiv https://doi.org/10.48550/arxiv.1712.03550	text	January 2017
Principal Chiral Model in Correlated Electron Systems Batista, Cristian D.; Shifman, Mikhail; Wang, Zhentao arXiv https://doi.org/10.48550/arxiv.1808.00633	text	January 2018
Skyrmion crystals in frustrated Shastry-Sutherland magnets Yu, J. H.; Li, W. H.; Huang, Z. P. arXiv https://doi.org/10.48550/arxiv.1810.12704	text	January 2018
The dynamics of bimeron skyrmions in easy-plane magnets induced by a spin supercurrent Kim, Se Kwon arXiv https://doi.org/10.48550/arxiv.1901.00094	text	January 2019
Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets Heil, Benjamin; Rosch, Achim; Masell, Jan arXiv https://doi.org/10.48550/arxiv.1907.12174	text	January 2019
Current-Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet Hou, Zhipeng; Zhang, Qiang; Zhang, Xichao arXiv https://doi.org/10.48550/arxiv.1911.10697	text	January 2019
Skyrmion Crystal and Phase Transition in Magneto-Ferroelectric Superlattices: Dzyaloshinskii-Moriya Interaction in a Frustrated $J_1-J_2$ Model Sharafullin, Ildus F.; Diep, H. T. arXiv https://doi.org/10.48550/arxiv.1912.12337	text	January 2019

Similar Records

Frustrated spin-1/2 dimer compound K2Co2(SeO3)3 with easy-axis anisotropy

Journal Article · Thu Dec 24 00:00:00 EST 2020 · Physical Review. B · OSTI ID:1304725

Zhong, Ruidan; Guo, Shu; Nguyen, Loi T.; +1 more

Lorentz transmission electron microscopy on nanometric magnetic bubbles and skyrmions in bilayered manganites La{sub 1.2}Sr{sub 1.8}(Mn{sub 1−y}Ru{sub y}){sub 2}O{sub 7} with controlled magnetic anisotropy

Journal Article · Mon Nov 23 00:00:00 EST 2015 · Applied Physics Letters · OSTI ID:1304725

Morikawa, D.; Yu, X. Z.; Kaneko, Y.; +5 more

Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities

Journal Article · Thu Nov 10 00:00:00 EST 2016 · Physical Review B · OSTI ID:1304725

Hayami, Satoru; Lin, Shi -Zeng; Kamiya, Yoshitomo; +1 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
36 MATERIALS SCIENCE
skyrmion crystals
frustrated magnets
anisotropy
bubble crystal
Material Science

Title: Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy

Citation Formats

References (39)

Cited By (32)

Similar Records

Related Subjects