Theory and phase-field simulations of electrical control of spin cycloids in a multiferroic

Xue, Fei; Yang, Tiannan; Chen, Long-Qing

doi:10.1103/physrevb.103.064202

Theory and phase-field simulations of electrical control of spin cycloids in a multiferroic

Journal Article · Thu Feb 04 23:00:00 EST 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.103.064202· OSTI ID:1806285

^[1]; Yang, Tiannan ^[2]; Chen, Long-Qing ^[2]

Pennsylvania State Univ., University Park, PA (United States); Penn State University
Pennsylvania State Univ., University Park, PA (United States)

Cycloidal spin orders are common in multiferroics. One of the prototypical examples is BiFeO₃ (BFO) which shows a large polarization and a cycloidal antiferromagnetic (AFM) order at room temperature. Here, we employ Landau theory and phase-field simulations to analyze the coupled switching dynamics of polarization and cycloidal AFM orders in BFO. We identify 14 types of transitional spin structures between two cycloids and nine electric-field-induced spin switching paths. We demonstrate the electric-field-induced rotation of wave vectors of the cycloidal spins and discover two types of cycloidal spin switching dynamics: fast local spin flips and slow rotation of wave vectors. Also, we construct roadmaps to achieve the switching between any two spin cycloids through multistep applications of electric fields. Furthermore, this paper provides a theoretical framework for the phenomenological description of spin cycloids and a fundamental understanding of the switching mechanisms to achieve electrical control of magnetic orders.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation

Grant/Contract Number:: SC0020145

OSTI ID:: 1806285

Alternate ID(s):: OSTI ID: 1806289
OSTI ID: 1880844

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 6 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (39)

Physics and Applications of Bismuth Ferrite Catalan, Gustau; Scott, James F. Advanced Materials, Vol. 21, Issue 24 https://doi.org/10.1002/adma.200802849	journal	June 2009
Multiferroics with Spiral Spin Orders Tokura, Yoshinori; Seki, Shinichiro Advanced Materials, Vol. 22, Issue 14 https://doi.org/10.1002/adma.200901961	journal	December 2009
Crystal structure and spiral magnetic ordering of BiFeO 3 doped with manganese Sosnowska, I.; Sch�fer, W.; Kockelmann, W. Applied Physics A: Materials Science & Processing, Vol. 74, Issue 0 https://doi.org/10.1007/s003390201604	journal	December 2002
Applications of semi-implicit Fourier-spectral method to phase field equations Chen, L. Q.; Shen, Jie Computer Physics Communications, Vol. 108, Issue 2-3 https://doi.org/10.1016/S0010-4655(97)00115-X	journal	February 1998
Phase-field microelasticity theory and micromagnetic simulations of domain structures in giant magnetostrictive materials Zhang, J. X.; Chen, L. Q. Acta Materialia, Vol. 53, Issue 9 https://doi.org/10.1016/j.actamat.2005.03.002	journal	May 2005
Nanoscale Control of Domain Architectures in BiFeO ₃ Thin Films Chu, Ying-Hao; He, Qing; Yang, Chan-Ho Nano Letters, Vol. 9, Issue 4 https://doi.org/10.1021/nl900723j	journal	April 2009
Deterministic switching of ferromagnetism at room temperature using an electric field Heron, J. T.; Bosse, J. L.; He, Q. Nature, Vol. 516, Issue 7531 https://doi.org/10.1038/nature14004	journal	December 2014
Real-space imaging of non-collinear antiferromagnetic order with a single-spin magnetometer Gross, I.; Akhtar, W.; Garcia, V. Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23656	journal	September 2017
Direct evidence for the spin cycloid in strained nanoscale bismuth ferrite thin films Bertinshaw, Joel; Maran, Ronald; Callori, Sara J. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12664	journal	September 2016
Permanent ferroelectric retention of BiFeO3 mesocrystal Hsieh, Ying-Hui; Xue, Fei; Yang, Tiannan Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13199	journal	October 2016
Multiferroics: a magnetic twist for ferroelectricity Cheong, Sang-Wook; Mostovoy, Maxim Nature Materials, Vol. 6, Issue 1 https://doi.org/10.1038/nmat1804	journal	January 2007
Multiferroics progress and prospects in thin films Ramesh, R.; Spaldin, Nicola A. Nature Materials, Vol. 6, Issue 1, p. 21-29 https://doi.org/10.1038/nmat1805	journal	January 2007
Ferroelastic switching for nanoscale non-volatile magnetoelectric devices Baek, S. H.; Jang, H. W.; Folkman, C. M. Nature Materials, Vol. 9, Issue 4 https://doi.org/10.1038/nmat2703	journal	February 2010
Crafting the magnonic and spintronic response of BiFeO3 films by epitaxial strain Sando, D.; Agbelele, A.; Rahmedov, D. Nature Materials, Vol. 12, Issue 7 https://doi.org/10.1038/nmat3629	journal	April 2013
Deterministic and robust room-temperature exchange coupling in monodomain multiferroic BiFeO3 heterostructures Saenrang, W.; Davidson, B. A.; Maccherozzi, F. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01581-6	journal	November 2017
Electric field control of magnetism using BiFeO ₃ -based heterostructures Heron, J. T.; Schlom, D. G.; Ramesh, R. Applied Physics Reviews, Vol. 1, Issue 2 https://doi.org/10.1063/1.4870957	journal	June 2014
Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology Dong, Shuai; Liu, Jun-Ming; Cheong, Sang-Wook Advances in Physics, Vol. 64, Issue 5-6 https://doi.org/10.1080/00018732.2015.1114338	journal	November 2015
Structural distortion and magnetism of BiFeO ₃ epitaxial thin films: A Raman spectroscopy and neutron diffraction study Béa, H.; Bibes, M.; Petit, S. Philosophical Magazine Letters, Vol. 87, Issue 3-4 https://doi.org/10.1080/09500830701235802	journal	March 2007
Spiral magnetic ordering in bismuth ferrite Sosnowska, I.; Neumaier, T. P.; Steichele, E. Journal of Physics C: Solid State Physics, Vol. 15, Issue 23 https://doi.org/10.1088/0022-3719/15/23/020	journal	August 1982
Emergent phenomena at multiferroic heterointerfaces Yu, P.; Chu, Y. H.; Ramesh, R. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, Issue 1977 https://doi.org/10.1098/rsta.2012.0199	journal	October 2012
Strain Engineering a Multiferroic Monodomain in Thin-Film Bi Fe O 3 Waterfield Price, N.; Vibhakar, A. M.; Johnson, R. D. Physical Review Applied, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevApplied.11.024035	journal	February 2019
Room-temperature coexistence of large electric polarization and magnetic order in Bi Fe O 3 single crystals Lebeugle, D.; Colson, D.; Forget, A. Physical Review B, Vol. 76, Issue 2 https://doi.org/10.1103/PhysRevB.76.024116	journal	July 2007
Optical coupling to spin waves in the cycloidal multiferroic Bi Fe O 3 de Sousa, Rogerio; Moore, Joel E. Physical Review B, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevB.77.012406	journal	January 2008
Domain walls of ferroelectric BaTiO 3 within the Ginzburg-Landau-Devonshire phenomenological model Marton, P.; Rychetsky, I.; Hlinka, J. Physical Review B, Vol. 81, Issue 14 https://doi.org/10.1103/PhysRevB.81.144125	journal	April 2010
Orientations of low-energy domain walls in perovskites with oxygen octahedral tilts Xue, Fei; Gu, Yijia; Liang, Linyun Physical Review B, Vol. 90, Issue 22 https://doi.org/10.1103/PhysRevB.90.220101	journal	December 2014
Switching the curl of polarization vectors by an irrotational electric field Xue, Fei; Li, Linze; Britson, Jason Physical Review B, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevB.94.100103	journal	September 2016
Strain-induced incommensurate phases in hexagonal manganites Xue, Fei; Wang, Xueyun; Shi, Yin Physical Review B, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevB.96.104109	journal	September 2017
Topological dynamics of vortex-line networks in hexagonal manganites Xue, Fei; Wang, Nan; Wang, Xueyun Physical Review B, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevB.97.020101	journal	January 2018
Electric-Field-Induced Spin Flop in BiFeO 3 Single Crystals at Room Temperature Lebeugle, D.; Colson, D.; Forget, A. Physical Review Letters, Vol. 100, Issue 22 https://doi.org/10.1103/PhysRevLett.100.227602	journal	June 2008
Phenomenology of Current-Induced Dynamics in Antiferromagnets Hals, Kjetil M. D.; Tserkovnyak, Yaroslav; Brataas, Arne Physical Review Letters, Vol. 106, Issue 10 https://doi.org/10.1103/PhysRevLett.106.107206	journal	March 2011
BiFeO 3 Domain Wall Energies and Structures: A Combined Experimental and Density Functional Theory + U Study Wang, Yi; Nelson, Chris; Melville, Alexander Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.267601	journal	June 2013
Ferroelectricity in Spiral Magnets Mostovoy, Maxim Physical Review Letters, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevLett.96.067601	journal	February 2006
Magnetic Reversal of the Ferroelectric Polarization in a Multiferroic Spinel Oxide Yamasaki, Y.; Miyasaka, S.; Kaneko, Y. Physical Review Letters, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevLett.96.207204	journal	May 2006
Electric Control of Spin Helicity in a Magnetic Ferroelectric Yamasaki, Y.; Sagayama, H.; Goto, T. Physical Review Letters, Vol. 98, Issue 14 https://doi.org/10.1103/PhysRevLett.98.147204	journal	April 2007
Antiferromagnetic spintronics Baltz, V.; Manchon, A.; Tsoi, M. Reviews of Modern Physics, Vol. 90, Issue 1 https://doi.org/10.1103/RevModPhys.90.015005	journal	February 2018
XSEDE: Accelerating Scientific Discovery Towns, John; Cockerill, Timothy; Dahan, Maytal Computing in Science & Engineering, Vol. 16, Issue 5 https://doi.org/10.1109/MCSE.2014.80	journal	September 2014
Definition of Magnetic Exchange Length Abo, Gavin S.; Hong, Yang-Ki; Park, Jihoon IEEE Transactions on Magnetics, Vol. 49, Issue 8 https://doi.org/10.1109/TMAG.2013.2258028	journal	August 2013
On the room temperature multiferroic BiFeO3: magnetic, dielectric and thermal properties Lu, J.; Günther, A.; Schrettle, F. The European Physical Journal B, Vol. 75, Issue 4 https://doi.org/10.1140/epjb/e2010-00170-x	journal	June 2010
The Landau Theory of Phase Transitions Tolédano, J. C.; Tolédano, P. World Scientific Lecture Notes in Physics, Vol. 3 https://doi.org/10.1142/0215	book	August 1987

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Theory and phase-field simulations of electrical control of spin cycloids in a multiferroic

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