Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction [Topologically Non-Trivial Magnon Bands in Artificial Square Spin Ices Subject to Dzyaloshinskii-Moriya Interaction]
Abstract
Systems that exhibit topologically protected edge states are interesting both from a fundamental point of view as well as for potential applications, the latter because of the absence of backscattering and robustness to perturbations. It is desirable to be able to control and manipulate such edge states. Here, we demonstrate using a semi-analytical model that artificial square ices can incorporate both features: an interfacial Dzyaloshinksii-Moriya gives rise to topologically non-trivial magnon bands, and the equilibrium state of the spin ice is reconfigurable with different states having different magnon dispersions and topology. Micromagnetic simulations are used to determine the magnetization equilibrium states and to validate the semi-analytical model. Lastly, our results are amenable to experimental verification via, e.g., lithographic patterning and micro-focused Brillouin light scattering.
- Authors:
-
- Univ. of Colorado, Boulder, CO (United States); Chalmers Univ. of Technology, Gothenburg (Sweden)
- Argonne National Lab. (ANL), Lemont, IL (United States); Northwestern-Argonne Institute for Science and Engineering, Evanston, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences and Engineering Division; Swedish Research Council (SRC); Argonne National Laboratory, Laboratory Computing Resource Center; USDOE
- OSTI Identifier:
- 1393936
- Alternate Identifier(s):
- OSTI ID: 1393310
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Applied
- Additional Journal Information:
- Journal Volume: 8; Journal Issue: 3; Journal ID: ISSN 2331-7019
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Iacocca, Ezio, and Heinonen, Olle. Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction [Topologically Non-Trivial Magnon Bands in Artificial Square Spin Ices Subject to Dzyaloshinskii-Moriya Interaction]. United States: N. p., 2017.
Web. doi:10.1103/PhysRevApplied.8.034015.
Iacocca, Ezio, & Heinonen, Olle. Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction [Topologically Non-Trivial Magnon Bands in Artificial Square Spin Ices Subject to Dzyaloshinskii-Moriya Interaction]. United States. https://doi.org/10.1103/PhysRevApplied.8.034015
Iacocca, Ezio, and Heinonen, Olle. Wed .
"Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction [Topologically Non-Trivial Magnon Bands in Artificial Square Spin Ices Subject to Dzyaloshinskii-Moriya Interaction]". United States. https://doi.org/10.1103/PhysRevApplied.8.034015. https://www.osti.gov/servlets/purl/1393936.
@article{osti_1393936,
title = {Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction [Topologically Non-Trivial Magnon Bands in Artificial Square Spin Ices Subject to Dzyaloshinskii-Moriya Interaction]},
author = {Iacocca, Ezio and Heinonen, Olle},
abstractNote = {Systems that exhibit topologically protected edge states are interesting both from a fundamental point of view as well as for potential applications, the latter because of the absence of backscattering and robustness to perturbations. It is desirable to be able to control and manipulate such edge states. Here, we demonstrate using a semi-analytical model that artificial square ices can incorporate both features: an interfacial Dzyaloshinksii-Moriya gives rise to topologically non-trivial magnon bands, and the equilibrium state of the spin ice is reconfigurable with different states having different magnon dispersions and topology. Micromagnetic simulations are used to determine the magnetization equilibrium states and to validate the semi-analytical model. Lastly, our results are amenable to experimental verification via, e.g., lithographic patterning and micro-focused Brillouin light scattering.},
doi = {10.1103/PhysRevApplied.8.034015},
journal = {Physical Review Applied},
number = 3,
volume = 8,
place = {United States},
year = {Wed Sep 20 00:00:00 EDT 2017},
month = {Wed Sep 20 00:00:00 EDT 2017}
}
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Works referenced in this record:
Topological magnon insulator in insulating ferromagnet
journal, April 2013
- Zhang, Lifa; Ren, Jie; Wang, Jian-Sheng
- Physical Review B, Vol. 87, Issue 14
Magnonics
journal, June 2010
- Kruglyak, V. V.; Demokritov, S. O.; Grundler, D.
- Journal of Physics D: Applied Physics, Vol. 43, Issue 26
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958
- Dzyaloshinsky, I.
- Journal of Physics and Chemistry of Solids, Vol. 4, Issue 4
Magnonic logic circuits
journal, June 2010
- Khitun, Alexander; Bao, Mingqiang; Wang, Kang L.
- Journal of Physics D: Applied Physics, Vol. 43, Issue 26
Magnetodynamical response of large-area close-packed arrays of circular dots fabricated by nanosphere lithography
journal, May 2013
- Semenova, E. K.; Montoncello, F.; Tacchi, S.
- Physical Review B, Vol. 87, Issue 17
Emergent geometric frustration of artificial magnetic skyrmion crystals
journal, October 2016
- Ma, Fusheng; Reichhardt, C.; Gan, Weiliang
- Physical Review B, Vol. 94, Issue 14
A micro-structured ion-implanted magnonic crystal
journal, May 2013
- Obry, Björn; Pirro, Philipp; Brächer, Thomas
- Applied Physics Letters, Vol. 102, Issue 20
The design and verification of MuMax3
journal, October 2014
- Vansteenkiste, Arne; Leliaert, Jonathan; Dvornik, Mykola
- AIP Advances, Vol. 4, Issue 10
Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures
journal, October 2013
- Sampaio, J.; Cros, V.; Rohart, S.
- Nature Nanotechnology, Vol. 8, Issue 11
Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice
journal, August 2014
- Gilbert, Ian; Chern, Gia-Wei; Zhang, Sheng
- Nature Physics, Vol. 10, Issue 9
Dynamically stabilized magnetic skyrmions
journal, September 2015
- Zhou, Y.; Iacocca, E.; Awad, A. A.
- Nature Communications, Vol. 6, Issue 1
Large Area Artificial Spin Ice and Anti-Spin Ice Ni 80 Fe 20 Structures: Static and Dynamic Behavior
journal, January 2016
- Zhou, Xue; Chua, Geng-Li; Singh, Navab
- Advanced Functional Materials, Vol. 26, Issue 9
Topological surface states protected from backscattering by chiral spin texture
journal, August 2009
- Roushan, Pedram; Seo, Jungpil; Parker, Colin V.
- Nature, Vol. 460, Issue 7259, p. 1106-1109
A topological Dirac insulator in a quantum spin Hall phase
journal, April 2008
- Hsieh, D.; Qian, D.; Wray, L.
- Nature, Vol. 452, Issue 7190, p. 970-974
Topological chiral magnonic edge mode in a magnonic crystal
journal, May 2013
- Shindou, Ryuichi; Matsumoto, Ryo; Murakami, Shuichi
- Physical Review B, Vol. 87, Issue 17
Photonic topological insulators
journal, December 2012
- Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong
- Nature Materials, Vol. 12, Issue 3
Review and prospects of magnonic crystals and devices with reprogrammable band structure
journal, March 2014
- Krawczyk, M.; Grundler, D.
- Journal of Physics: Condensed Matter, Vol. 26, Issue 12
Collective magnonic modes of pairs of closely spaced magnetic nano-elements
journal, April 2011
- Dvornik, M.; Bondarenko, P. V.; Ivanov, B. A.
- Journal of Applied Physics, Vol. 109, Issue 7
Reconfigurable magnonics heats up
journal, June 2015
- Grundler, Dirk
- Nature Physics, Vol. 11, Issue 6
Micromagnetic modeling of spin-wave dynamics in exchange-biased permalloy disks
journal, October 2007
- Heinonen, O. G.; Schreiber, D. K.; Petford-Long, A. K.
- Physical Review B, Vol. 76, Issue 14
The building blocks of magnonics
journal, October 2011
- Lenk, B.; Ulrichs, H.; Garbs, F.
- Physics Reports, Vol. 507, Issue 4-5
Direct Observation of Thermal Relaxation in Artificial Spin Ice
journal, August 2013
- Farhan, A.; Derlet, P. M.; Kleibert, A.
- Physical Review Letters, Vol. 111, Issue 5
Magnon spintronics
journal, June 2015
- Chumak, A. V.; Vasyuchka, V. I.; Serga, A. A.
- Nature Physics, Vol. 11, Issue 6
Blowing magnetic skyrmion bubbles
journal, June 2015
- Jiang, W.; Upadhyaya, P.; Zhang, W.
- Science, Vol. 349, Issue 6245
From micro- to nanomagnetic dots: evolution of the eigenmode spectrum on reducing the lateral size
journal, June 2014
- Carlotti, G.; Gubbiotti, G.; Madami, M.
- Journal of Physics D: Applied Physics, Vol. 47, Issue 26
A tunable topological insulator in the spin helical Dirac transport regime
journal, July 2009
- Hsieh, D.; Xia, Y.; Qian, D.
- Nature, Vol. 460, Issue 7259
Broken vertex symmetry and finite zero-point entropy in the artificial square ice ground state
journal, August 2015
- Gliga, Sebastian; Kákay, Attila; Heyderman, Laura J.
- Physical Review B, Vol. 92, Issue 6
Dynamic response of an artificial square spin ice
journal, March 2016
- Jungfleisch, M. B.; Zhang, W.; Iacocca, E.
- Physical Review B, Vol. 93, Issue 10
Observation of Unconventional Quantum Spin Textures in Topological Insulators
journal, February 2009
- Hsieh, D.; Xia, Y.; Wray, L.
- Science, Vol. 323, Issue 5916, p. 919-922
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
Microwave absorption measurements using a broad-band meanderline approach
journal, February 2009
- Tsai, C. C.; Choi, J.; Cho, Sunglae
- Review of Scientific Instruments, Vol. 80, Issue 2
Magnonics: Spin Waves on the Nanoscale
journal, July 2009
- Neusser, Sebastian; Grundler, Dirk
- Advanced Materials, Vol. 21, Issue 28
Photonic Floquet topological insulators
journal, April 2013
- Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
- Nature, Vol. 496, Issue 7444
Linear relation between Heisenberg exchange and interfacial Dzyaloshinskii–Moriya interaction in metal films
journal, August 2015
- Nembach, Hans T.; Shaw, Justin M.; Weiler, Mathias
- Nature Physics, Vol. 11, Issue 10
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Quantized Hall conductance as a topological invariant
journal, March 1985
- Niu, Qian; Thouless, D. J.; Wu, Yong-Shi
- Physical Review B, Vol. 31, Issue 6
Micromagnetic modeling of the magnetization dynamics in a circularly exchange-biased and exchange-coupled ferromagnetic multilayer
journal, July 2009
- Schreiber, D. K.; Heinonen, O. G.; Petford-Long, A. K.
- Physical Review B, Vol. 80, Issue 1
Extensive degeneracy, Coulomb phase and magnetic monopoles in artificial square ice
journal, November 2016
- Perrin, Yann; Canals, Benjamin; Rougemaille, Nicolas
- Nature, Vol. 540, Issue 7633
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
journal, May 2009
- Xia, Y.; Qian, D.; Hsieh, D.
- Nature Physics, Vol. 5, Issue 6, p. 398-402
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
Nonlinear Auto-Oscillator Theory of Microwave Generation by Spin-Polarized Current
journal, April 2009
- Slavin, A.; Tiberkevich, V.
- IEEE Transactions on Magnetics, Vol. 45, Issue 4
Diagonalization of the quadratic boson hamiltonian
journal, September 1978
- Colpa, J. H. P.
- Physica A: Statistical Mechanics and its Applications, Vol. 93, Issue 3-4
Spin waves in periodic magnetic structures—magnonic crystals
journal, November 2001
- Nikitov, S. A.; Tailhades, Ph.; Tsai, C. S.
- Journal of Magnetism and Magnetic Materials, Vol. 236, Issue 3
Oscillatory Energy Exchange between Waves Coupled by a Dynamic Artificial Crystal
journal, January 2012
- Karenowska, A. D.; Gregg, J. F.; Tiberkevich, V. S.
- Physical Review Letters, Vol. 108, Issue 1
Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, January 2006
- Wang, R. F.; Nisoli, C.; Freitas, R. S.
- Nature, Vol. 439, Issue 7074
Generation of magnetic skyrmion bubbles by inhomogeneous spin Hall currents
journal, March 2016
- Heinonen, Olle; Jiang, Wanjun; Somaily, Hamoud
- Physical Review B, Vol. 93, Issue 9
Real-Space Observation of Helical Spin Order
journal, January 2006
- Uchida, Masaya; Onose, Yoshinori; Matsui, Yoshio
- Science, Vol. 311, Issue 5759
Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
journal, June 2005
- Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi
- Journal of the Physical Society of Japan, Vol. 74, Issue 6
Rewritable artificial magnetic charge ice
journal, May 2016
- Wang, Y. -L.; Xiao, Z. -L.; Snezhko, A.
- Science, Vol. 352, Issue 6288
Design of a spin-wave majority gate employing mode selection
journal, October 2014
- Klingler, S.; Pirro, P.; Brächer, T.
- Applied Physics Letters, Vol. 105, Issue 15
Colloquium : Artificial spin ice: Designing and imaging magnetic frustration
journal, October 2013
- Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter
- Reviews of Modern Physics, Vol. 85, Issue 4
Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960
- Moriya, Tôru
- Physical Review, Vol. 120, Issue 1
Topological invariants of time-reversal-invariant band structures
journal, March 2007
- Moore, J. E.; Balents, L.
- Physical Review B, Vol. 75, Issue 12, Article No. 121306(R)
Artificial ferroic systems: novel functionality from structure, interactions and dynamics
journal, August 2013
- Heyderman, L. J.; Stamps, R. L.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 36
Nonreciprocal spin-wave channeling along textures driven by the Dzyaloshinskii-Moriya interaction
journal, June 2014
- Garcia-Sanchez, Felipe; Borys, Pablo; Vansteenkiste, Arne
- Physical Review B, Vol. 89, Issue 22
Optically reconfigurable magnetic materials
journal, May 2015
- Vogel, Marc; Chumak, Andrii V.; Waller, Erik H.
- Nature Physics, Vol. 11, Issue 6
Emergent reduced dimensionality by vertex frustration in artificial spin ice
journal, October 2015
- Gilbert, Ian; Lao, Yuyang; Carrasquillo, Isaac
- Nature Physics, Vol. 12, Issue 2
Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, March 2007
- Wang, R. F.; Nisoli, C.; Freitas, R. S.
- Nature, Vol. 446, Issue 7131
Probing a mesoscopic elephant
journal, January 2021
- Stamps, Robert
- Nature Materials, Vol. 20, Issue 2
Photonic Floquet topological insulators
conference, September 2013
- Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
- SPIE NanoScience + Engineering, SPIE Proceedings
Photonic Topological Insulators
journal, January 2013
- Rechtsman, Mikael C.; Plotnik, Yonatan; Lumer, Yaakov
- Optics and Photonics News, Vol. 24, Issue 12
Dynamically stabilized magnetic skyrmions
text, January 2015
- Zhou, Y.; Iacocca, Ezio; Awad, Ahmad A.
- ETH Zurich
A tunable topological insulator in the spin helical Dirac transport regime
text, January 2009
- D., Hsieh,; Y., Xia,; D., Qian,
- Nature Publishing Group
Observation of unconventional quantum spin textures in topological insulators
text, January 2009
- Hsieh, D.; Xia, Y.; Wray, L.
- American Association for the Advancement of Science (AAAS)
Topological Surface States Protected From Backscattering by Chiral Spin Texture
text, January 2009
- Roushan, Pedram; Seo, Jungpil; Parker, Colin V.
- arXiv
The building blocks of magnonics
text, January 2011
- Lenk, Benjamin; Ulrichs, Henning; Garbs, Fabian
- arXiv
Bias dependence of perpendicular spin torque and of free and fixed layer eigenmodes in MgO-based nanopillars
text, January 2011
- Muduli, P. K.; Heinonen, O. G.; Åkerman, Johan
- arXiv
Oscillatory Energy Exchange Between Waves Coupled by a Dynamic Artificial Crystal
text, January 2011
- Karenowska, Alexy D.; Tiberkevich, Vasil S.; Chumak, Andrii V.
- arXiv
Topological chiral magnonic edge mode in a magnonic crystal
text, January 2012
- Shindou, Ryuichi; Matsumoto, Ryo; Murakami, Shuichi
- arXiv
Photonic Floquet Topological Insulators
text, January 2012
- Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
- arXiv
Chiral spin-wave edge modes in dipolar magnetic thin films
text, January 2013
- Shindou, Ryuichi; Ohe, Jun-ichiro; Matsumoto, Ryo
- arXiv
Spin wave mode coexistence on the nano-scale: A consequence of the Oersted field induced asymmetric energy landscape
text, January 2013
- Dumas, Randy K.; Iacocca, Ezio; Bonetti, Stefano
- arXiv
A micro-structured ion-implanted magnonic crystal
text, January 2013
- Obry, Björn; Pirro, Philipp; Brächer, Thomas
- arXiv
Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
text, January 2013
- Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter
- arXiv
Nonreciprocal spin-wave channeling along textures driven by the Dzyaloshinskii-Moriya interaction
text, January 2014
- Garcia-Sanchez, Felipe; Borys, Pablo; Vansteenkiste, Arne
- arXiv
Generation of magnetic skyrmion bubbles by inhomogeneous spin Hall currents
text, January 2015
- Heinonen, Olle; Jiang, Wanjun; Somaily, Hamoud
- arXiv
Dynamic response of an artificial square spin ice
text, January 2016
- Jungfleisch, M. B.; Zhang, W.; Iacocca, E.
- arXiv
Voltage-Controlled Nano-Scale Reconfigurable Magnonic Crystal
text, January 2016
- Wang, Qi; Chumak, Andrii V.; Jin, Lichuan
- arXiv
Emergent Geometric Frustration of Artificial Magnetic Skyrmion Crystals
text, January 2016
- Ma, Fusheng; Reichhardt, C.; Gan, Weiliang
- arXiv
Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
text, January 2005
- Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi
- arXiv
Topological invariants of time-reversal-invariant band structures
text, January 2006
- Moore, J. E.; Balents, L.
- arXiv
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- Nature Reviews Physics, Vol. 2, Issue 1
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journal, September 2019
- Wang, Xi-guang; Chotorlishvili, L.; Guo, Guang-hua
- Physical Review Applied, Vol. 12, Issue 3
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journal, February 2019
- Gallardo, R. A.; Cortés-Ortuño, D.; Schneider, T.
- Physical Review Letters, Vol. 122, Issue 6
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text, January 2018
- Mohseni, M.; Verba, R.; Bracher, T.
- arXiv
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text, January 2018
- Gallardo, R. A.; Cortés-Ortuño, D.; Schneider, T.
- arXiv