CP2 skyrmions and skyrmion crystals in realistic quantum magnets

Zhang, Hao; Wang, Zhentao; Dahlbom, David; Barros, Kipton; Batista, Cristian D.

doi:10.1038/s41467-023-39232-8

CP2 skyrmions and skyrmion crystals in realistic quantum magnets

Journal Article · Mon Jun 19 00:00:00 EDT 2023 · Nature Communications

DOI:https://doi.org/10.1038/s41467-023-39232-8· OSTI ID:1985732

; ; ; Barros, Kipton;

Abstract

Magnetic skyrmions are nanoscale topological textures that have been recently observed in different families of quantum magnets. These objects are called CP ¹ skyrmions because they are built from dipoles—the target manifold is the 1D complex projective space, CP ¹ ≅ S ² . Here we report the emergence of magnetic CP ² skyrmions in a realistic spin-1 model, which includes both dipole and quadrupole moments. Unlike CP ¹ skyrmions, CP ² skyrmions can also arise as metastable textures of quantum paramagnets, opening a new road to discover emergent topological solitons in non-magnetic materials. The quantum phase diagram of the spin-1 model also includes magnetic field-induced CP ² skyrmion crystals that can be detected with regular momentum- (diffraction) and real-space (Lorentz transmission electron microscopy) experimental techniques.

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

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: 89233218CNA000001; SC0016371; SC0022311

OSTI ID:: 1985732

Alternate ID(s):: OSTI ID: 2203413

Report Number(s):: LA-UR--23-26591; 3626; PII: 39232

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 14; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (57)

On stationary topological solitons in a two-dimensional anisotropic Heisenberg model Bogolubskaya, A. A.; Bogolubsky, I. L. Letters in Mathematical Physics, Vol. 19, Issue 2 https://doi.org/10.1007/BF01045888	journal	February 1990
Magnetic anomalies in Gd2PdSi3 Mallik, R.; Sampathkumaran, E. V.; Paulose, P. L. Pramana, Vol. 51, Issue 3-4 https://doi.org/10.1007/BF02828942	journal	September 1998
Exact vortex solutions in a CP N Skyrme-Faddeev type model Ferreira, L. A.; Klimas, P. Journal of High Energy Physics, Vol. 2010, Issue 10 https://doi.org/10.1007/JHEP10(2010)008	journal	October 2010
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics Dzyaloshinsky, I. Journal of Physics and Chemistry of Solids, Vol. 4, Issue 4 https://doi.org/10.1016/0022-3697(58)90076-3	journal	January 1958
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
Solution of the duality equations for the two-dimensional SU(N)-invariant chiral model Golo, V. L.; Perelomov, A. M. Physics Letters B, Vol. 79, Issue 1-2 https://doi.org/10.1016/0370-2693(78)90447-1	journal	November 1978
Stationary topological solitons in the two-dimensional anisotropic Heisenberg model with a Skyrme term Bogolubskaya, A. A.; Bogolubsky, I. L. Physics Letters A, Vol. 136, Issue 9 https://doi.org/10.1016/0375-9601(89)90301-0	journal	April 1989
A expandable series of non-linear σ models with instantons D'Adda, A.; Lüscher, M.; Di Vecchia, P. Nuclear Physics B, Vol. 146, Issue 1 https://doi.org/10.1016/0550-3213(78)90432-7	journal	December 1978
General classical solutions in the CPN−1 model Din, A. M.; Zakrzewski, W. J. Nuclear Physics B, Vol. 174, Issue 2-3 https://doi.org/10.1016/0550-3213(80)90291-6	journal	November 1980
Unusual phases in quantum spin-1 systems Papanicolaou, N. Nuclear Physics B, Vol. 305, Issue 3 https://doi.org/10.1016/0550-3213(88)90073-9	journal	November 1988
Real-space observation of a two-dimensional skyrmion crystal Yu, X. Z.; Onose, Y.; Kanazawa, N. Nature, Vol. 465, Issue 7300 https://doi.org/10.1038/nature09124	journal	June 2010
Biskyrmion states and their current-driven motion in a layered manganite Yu, X. Z.; Tokunaga, Y.; Kaneko, Y. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4198	journal	January 2014
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
Near room-temperature formation of a skyrmion crystal in thin-films of the helimagnet FeGe Yu, X. Z.; Kanazawa, N.; Onose, Y. Nature Materials, Vol. 10, Issue 2 https://doi.org/10.1038/nmat2916	journal	December 2010
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
Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2 Bai, Xiaojian; Zhang, Shang-Shun; Dun, Zhiling Nature Physics, Vol. 17, Issue 4 https://doi.org/10.1038/s41567-020-01110-1	journal	January 2021
Longitudinal spin dynamics in nickel fluorosilicate Galkina, E. G.; Ivanov, B. A.; Butrim, V. I. Low Temperature Physics, Vol. 40, Issue 7 https://doi.org/10.1063/1.4890989	journal	July 2014
Two-dimensional solitons in spin nematic states for magnets with an isotropic exchange interaction Galkina, E. G.; Ivanov, B. A.; Kosmachev, O. A. Low Temperature Physics, Vol. 41, Issue 5 https://doi.org/10.1063/1.4921470	journal	May 2015
Magnetic stripes and skyrmions with helicity reversals Yu, X.; Mostovoy, M.; Tokunaga, Y. Proceedings of the National Academy of Sciences, Vol. 109, Issue 23 https://doi.org/10.1073/pnas.1118496109	journal	May 2012
Algebraic approach to interacting quantum systems Batista, C. D.; Ortiz, G. Advances in Physics, Vol. 53, Issue 1 https://doi.org/10.1080/00018730310001642086	journal	January 2004
II. On vortex atoms Thomson, William The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 34, Issue 227 https://doi.org/10.1080/14786446708639836	journal	July 1867
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
Coherent states and the classical limit on irreducible representations Gnutzmann, Sven; Kus, Marek Journal of Physics A: Mathematical and General, Vol. 31, Issue 49 https://doi.org/10.1088/0305-4470/31/49/011	journal	December 1998
Soliton scatterings in some relativistic models in (2+1) dimensions Leese, R. A.; Peyrard, M.; Zakrzewski, W. J. Nonlinearity, Vol. 3, Issue 3 https://doi.org/10.1088/0951-7715/3/3/011	journal	August 1990
Magnetic behavior of Gd ₃ Ru ₄ Al ₁₂ , a layered compound with distorted kagomé net Chandragiri, Venkatesh; Iyer, Kartik K.; Sampathkumaran, E. V. Journal of Physics: Condensed Matter, Vol. 28, Issue 28 https://doi.org/10.1088/0953-8984/28/28/286002	journal	May 2016
Topological spin crystals by itinerant frustration Hayami, Satoru; Motome, Yukitoshi Journal of Physics: Condensed Matter, Vol. 33, Issue 44 https://doi.org/10.1088/1361-648X/ac1a30	journal	August 2021
Generalized spin-wave theory: Application to the bilinear-biquadratic model Muniz, R. A.; Kato, Y.; Batista, C. D. Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 8 https://doi.org/10.1093/ptep/ptu109	journal	August 2014
Anisotropic Superexchange Interaction and Weak Ferromagnetism Moriya, Tôru Physical Review, Vol. 120, Issue 1 https://doi.org/10.1103/PhysRev.120.91	journal	October 1960
Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice Ueda, Hiroaki T.; Akagi, Yutaka; Shannon, Nic Physical Review A, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevA.93.021606	journal	February 2016
Classical spin dynamics based on SU(N) coherent states Zhang, Hao; Batista, Cristian D. Physical Review B, Vol. 104, Issue 10 https://doi.org/10.1103/PhysRevB.104.104409	journal	September 2021
Geometric integration of classical spin dynamics via a mean-field Schrödinger equation Dahlbom, David; Zhang, Hao; Miles, Cole Physical Review B, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevB.106.054423	journal	August 2022
Langevin dynamics of generalized spins as SU( N ) coherent states Dahlbom, David; Miles, Cole; Zhang, Hao Physical Review B, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevB.106.235154	journal	December 2022
Magnetic anisotropy, first-order-like metamagnetic transitions, and large negative magnetoresistance in single-crystal Gd 2 PdSi 3 Saha, S. R.; Sugawara, H.; Matsuda, T. D. Physical Review B, Vol. 60, Issue 17 https://doi.org/10.1103/PhysRevB.60.12162	journal	November 1999
Chiral C P 2 skyrmions in three-band superconductors Garaud, Julien; Carlström, Johan; Babaev, Egor Physical Review B, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevB.87.014507	journal	January 2013
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
Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy Hayami, Satoru; Lin, Shi-Zeng; Batista, Cristian D. Physical Review B, Vol. 93, Issue 18 https://doi.org/10.1103/PhysRevB.93.184413	journal	May 2016
Magnetic-field- and pressure-induced quantum phase transition in CsFeCl 3 proved via magnetization measurements Kurita, Nobuyuki; Tanaka, Hidekazu Physical Review B, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevB.94.104409	journal	September 2016
Isolated skyrmions in the CP2 nonlinear sigma model with a Dzyaloshinskii-Moriya type interaction Akagi, Yutaka; Amari, Yuki; Sawado, Nobuyuki Physical Review D, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevD.103.065008	journal	March 2021
Potentials and the vortex solutions in theCPNSkyrme-Faddeev model Amari, Yuki; Klimas, Paweł; Sawado, Nobuyuki Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.045007	journal	August 2015
Pairing of Solitons in Two-DimensionalS=1Magnets Ivanov, B. A.; Khymyn, R. S.; Kolezhuk, A. K. Physical Review Letters, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevLett.100.047203	journal	January 2008
Topological Solitons in Three-Band Superconductors with Broken Time Reversal Symmetry Garaud, Julien; Carlström, Johan; Babaev, Egor Physical Review Letters, Vol. 107, Issue 19 https://doi.org/10.1103/PhysRevLett.107.197001	journal	November 2011
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
Long-Wavelength Helimagnetic Order and Skyrmion Lattice Phase in Cu 2 OSeO 3 Adams, T.; Chacon, A.; Wagner, M. Physical Review Letters, Vol. 108, Issue 23 https://doi.org/10.1103/PhysRevLett.108.237204	journal	June 2012
Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas Wang, Zhentao; Su, Ying; Lin, Shi-Zeng Physical Review Letters, Vol. 124, Issue 20 https://doi.org/10.1103/PhysRevLett.124.207201	journal	May 2020
Tunable Single-Ion Anisotropy in Spin-1 Models Realized with Ultracold Atoms Chung, Woo Chang; de Hond, Julius; Xiang, Jinggang Physical Review Letters, Vol. 126, Issue 16 https://doi.org/10.1103/PhysRevLett.126.163203	journal	April 2021
Observation of 4- and 6-Magnon Bound States in the Spin-Anisotropic Frustrated Antiferromagnet FeI2 Legros, Anaëlle; Zhang, Shang-Shun; Bai, Xiaojian Physical Review Letters, Vol. 127, Issue 26 https://doi.org/10.1103/PhysRevLett.127.267201	journal	December 2021
New Mechanism of Anisotropic Superexchange Interaction Moriya, Tôru Physical Review Letters, Vol. 4, Issue 5 https://doi.org/10.1103/PhysRevLett.4.228	journal	March 1960
Bose-Einstein Condensation of S = 1 Nickel Spin Degrees of Freedom in NiCl 2 − 4 SC ( NH 2 ) 2 Zapf, V. S.; Zocco, D.; Hansen, B. R. Physical Review Letters, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevLett.96.077204	journal	February 2006
Quadrupolar Phases of the S = 1 Bilinear-Biquadratic Heisenberg Model on the Triangular Lattice Läuchli, Andreas; Mila, Frédéric; Penc, Karlo Physical Review Letters, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevLett.97.087205	journal	August 2006
Electronic structure and magnetism of transition metal dihalides: Bulk to monolayer Botana, A. S.; Norman, M. R. Physical Review Materials, Vol. 3, Issue 4 https://doi.org/10.1103/PhysRevMaterials.3.044001	journal	April 2019
Skyrmion Lattice in a Chiral Magnet Muhlbauer, S.; Binz, B.; Jonietz, F. Science, Vol. 323, Issue 5916 https://doi.org/10.1126/science.1166767	journal	February 2009
Observation of Skyrmions in a Multiferroic Material Seki, S.; Yu, X. Z.; Ishiwata, S. Science, Vol. 336, Issue 6078 https://doi.org/10.1126/science.1214143	journal	April 2012
Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet Kurumaji, Takashi; Nakajima, Taro; Hirschberger, Max Science, Vol. 365, Issue 6456 https://doi.org/10.1126/science.aau0968	journal	August 2019
Disclinations in the nematic phase of a magnet with spin 1 Ivanov, B. A. JETP Letters, Vol. 84, Issue 2 https://doi.org/10.1134/S0021364006140098	journal	September 2006
Review / Synthèse : Triangular antiferromagnets Collins, M. F.; Petrenko, O. A. Canadian Journal of Physics, Vol. 75, Issue 9 https://doi.org/10.1139/p97-007	journal	September 1997
The Origins of Skyrmions Skyrme, T. H. R. International Journal of Modern Physics A, Vol. 03, Issue 12 https://doi.org/10.1142/S0217751X88001156	journal	December 1988
Crystal and Magnetic Structures in Layered, Transition Metal Dihalides and Trihalides McGuire, Michael Crystals, Vol. 7, Issue 5 https://doi.org/10.3390/cryst7050121	journal	April 2017

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