Pinning, rotation, and metastability of BiFeO3 cycloidal domains in a magnetic field

Fishman, Randy S.

doi:10.1103/physrevb.97.014405

Title: Pinning, rotation, and metastability of ${BiFeO}_{3}$ cycloidal domains in a magnetic field

Journal Article · Wed Jan 03 00:00:00 EST 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.97.014405· OSTI ID:1422612

Fishman, Randy S. ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division

Earlier models for the room-temperature multiferroic BiFeO₃ implicitly assumed that a very strong anisotropy restricts the domain wave vectors q to the threefold-symmetric axis normal to the static polarization P. However, recent measurements demonstrate that the domain wave vectors q rotate within the hexagonal plane normal to P away from the magnetic field orientation m. In this paper, we show that the previously neglected threefold anisotropy K₃ restricts the wave vectors to lie along the threefold axis in zero field. Taking m to lie along a threefold axis, the domain with q parallel to m remains metastable below B_c1≈7 T. Due to the pinning of domains by nonmagnetic impurities, the wave vectors of the other two domains start to rotate away from m above 5.6 T, when the component of the torque τ=M×B along P exceeds a threshold value τ_pin. Since τ=0 when m⊥q, the wave vectors of those domains never become completely perpendicular to the magnetic field. Our results explain recent measurements of the critical field as a function of field orientation, small-angle neutron scattering measurements of the wave vectors, as well as spectroscopic measurements with m along a threefold axis. Finally, the model developed in this paper also explains how the three multiferroic domains of BiFeO₃ for a fixed P can be manipulated by a magnetic field.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

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

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1422612

Alternate ID(s):: OSTI ID: 1415531

Journal Information:: Physical Review. B, Vol. 97, Issue 1; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 9 works

Citation information provided by
Web of Science

References (38)

Local Weak Ferromagnetism in Single-Crystalline Ferroelectric ${BiFeO}_{3}$ Ramazanoglu, M.; Laver, M.; Ratcliff, W. Physical Review Letters, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevLett.107.207206	journal	November 2011
Flexomagnetoelectric interaction in multiferroics Pyatakov, A. P.; Zvezdin, A. K. The European Physical Journal B, Vol. 71, Issue 3 https://doi.org/10.1140/epjb/e2009-00281-5	journal	August 2009
Magnetic Cycloid of ${BiFeO}_{3}$ from Atomistic Simulations Rahmedov, D.; Wang, Dawei; Íñiguez, Jorge Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.037207	journal	July 2012
Negative magnetostrictive magnetoelectric coupling of BiFeO $_{3}$ Lee, Sanghyun; Fernandez-Diaz, M. T.; Kimura, H. Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.060103	journal	August 2013
Giant Spin-Driven Ferroelectric Polarization in ${BiFeO}_{3}$ at Room Temperature Lee, Jun Hee; Fishman, Randy S. Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.207203	journal	November 2015
Electrical control of antiferromagnetic domains in multiferroic BiFeO3 films at room temperature Zhao, T.; Scholl, A.; Zavaliche, F. Nature Materials, Vol. 5, Issue 10 https://doi.org/10.1038/nmat1731	journal	September 2006
Origin of the giant linear magnetoelectric effect in perovskitelike multiferroic ${BiFeO}_{3}$ Popkov, A. F.; Davydova, M. D.; Zvezdin, K. A. Physical Review B, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevB.93.094435	journal	March 2016
Very large spontaneous electric polarization in BiFeO3 single crystals at room temperature and its evolution under cycling fields Lebeugle, D.; Colson, D.; Forget, A. Applied Physics Letters, Vol. 91, Issue 2 https://doi.org/10.1063/1.2753390	journal	July 2007
Structure and spin dynamics of multiferroic BiFeO ₃ Park, Je-Geun; Le, Manh Duc; Jeong, Jaehong Journal of Physics: Condensed Matter, Vol. 26, Issue 43 https://doi.org/10.1088/0953-8984/26/43/433202	journal	October 2014
Polar phonons and spin excitations coupling in multiferroic ${BiFeO}_{3}$ crystals Rovillain, P.; Cazayous, M.; Gallais, Y. Physical Review B, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevB.79.180411	journal	May 2009
Field dependence of the spin state and spectroscopic modes of multiferroic BiFeO $_{3}$ Fishman, Randy S. Physical Review B, Vol. 87, Issue 22 https://doi.org/10.1103/PhysRevB.87.224419	journal	June 2013
Tight-binding approach to the orbital magnetic moment and magnetocrystalline anisotropy of transition-metal monolayers Bruno, Patrick Physical Review B, Vol. 39, Issue 1, p. 865-868 https://doi.org/10.1103/PhysRevB.39.865	journal	January 1989
Magnetoelectric Feedback among Magnetic Order, Polarization, and Lattice in Multiferroic BiFeO ₃ Park, Junghwan; Lee, Sang-Hyun; Lee, Seongsu Journal of the Physical Society of Japan, Vol. 80, Issue 11 https://doi.org/10.1143/JPSJ.80.114714	journal	November 2011
Domain Wall Creep in an Ising Ultrathin Magnetic Film Lemerle, S.; Ferré, J.; Chappert, C. Physical Review Letters, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevLett.80.849	journal	January 1998
On the problem of coexistence of the weak ferromagnetism and the spin flexoelectricity in multiferroic bismuth ferrite Zvezdin, Anatoly K.; Pyatakov, Alexander P. EPL (Europhysics Letters), Vol. 99, Issue 5 https://doi.org/10.1209/0295-5075/99/57003	journal	September 2012
Noncollinear magnetism and single-ion anisotropy in multiferroic perovskites Weingart, Carlo; Spaldin, Nicola; Bousquet, Eric Physical Review B, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevB.86.094413	journal	September 2012
The magnetocrystalline anisotropy of cobalt Paige, D. M.; Szpunar, B.; Tanner, B. K. Journal of Magnetism and Magnetic Materials, Vol. 44, Issue 3 https://doi.org/10.1016/0304-8853(84)90248-8	journal	October 1984
Spin state and spectroscopic modes of multiferroic BiFeO $_{3}$ Fishman, Randy S.; Haraldsen, Jason T.; Furukawa, Nobuo Physical Review B, Vol. 87, Issue 13 https://doi.org/10.1103/PhysRevB.87.134416	journal	April 2013
Terahertz Spectroscopy of Spin Waves in Multiferroic ${BiFeO}_{3}$ in High Magnetic Fields Nagel, U.; Fishman, Randy S.; Katuwal, T. Physical Review Letters, Vol. 110, Issue 25 https://doi.org/10.1103/PhysRevLett.110.257201	journal	June 2013
Origin of the long period magnetic ordering in BiFeO3 Sosnowska, I.; Zvezdin, A. K. Journal of Magnetism and Magnetic Materials, Vol. 140-144 https://doi.org/10.1016/0304-8853(94)01120-6	journal	February 1995
Long-wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO $_{3}$ Talbayev, D.; Trugman, S. A.; Lee, Seongsu Physical Review B, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevB.83.094403	journal	March 2011
Pinning of magnetic domain walls to structural defects in thin layers within a Heisenberg-type model Jourdan, Thomas; Lançon, Frédéric; Marty, Alain Physical Review B, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevB.75.094422	journal	March 2007
Orientation dependence of the critical magnetic field for multiferroic BiFeO $_{3}$ Fishman, Randy S. Physical Review B, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevB.88.104419	journal	September 2013
High-Field Study of Strong Magnetoelectric Coupling in Single-Domain Crystals of BiFeO ₃ Tokunaga, Masashi; Azuma, Masaki; Shimakawa, Yuichi Journal of the Physical Society of Japan, Vol. 79, Issue 6 https://doi.org/10.1143/JPSJ.79.064713	journal	June 2010
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
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
Theory of collective flux creep Feigel’man, M. V.; Geshkenbein, V. B.; Larkin, A. I. Physical Review Letters, Vol. 63, Issue 20 https://doi.org/10.1103/PhysRevLett.63.2303	journal	November 1989
Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite Ederer, Claude; Spaldin, Nicola A. Physical Review B, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevB.71.060401	journal	February 2005
Phase transitions in multiferroic BiFeO ₃ crystals, thin-layers, and ceramics: enduring potential for a single phase, room-temperature magnetoelectric ‘holy grail’ Kadomtseva, A. M.; Popov, Yu. F.; Pyatakov, A. P. Phase Transitions, Vol. 79, Issue 12 https://doi.org/10.1080/01411590601067235	journal	December 2006
Self-polarized terahertz magnon absorption in a single crystal of ${BiFeO}_{3}$ Matsubara, Eiichi; Mochizuki, Takeshi; Nagai, Masaya Physical Review B, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevB.94.054426	journal	August 2016
Trigonal Magnetocrystalline Anisotropy in Hexagonal Oxides Bickford, L. R. Physical Review, Vol. 119, Issue 3 https://doi.org/10.1103/PhysRev.119.1000	journal	August 1960
Magnetic control of transverse electric polarization in BiFeO3 Tokunaga, M.; Akaki, M.; Ito, T. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6878	journal	January 2015
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
First-principles approach to the dynamic magnetoelectric couplings for the non-reciprocal directional dichroism in BiFeO ₃ Lee, Jun Hee; Kézsmáki, István; Fishman, Randy S. New Journal of Physics, Vol. 18, Issue 4 https://doi.org/10.1088/1367-2630/18/4/043025	journal	April 2016
Modes of Periodic Domain Wall Motion in Ultrathin Ferromagnetic Layers Kleemann, W.; Rhensius, J.; Petracic, O. Physical Review Letters, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevLett.99.097203	journal	August 2007
Multiferroic and magnetoelectric materials Eerenstein, W.; Mathur, N. D.; Scott, J. F. Nature, Vol. 442, Issue 7104 https://doi.org/10.1038/nature05023	journal	August 2006
Dielectric hysteresis in single crystal BiFeO3 Teague, James R.; Gerson, Robert; James, W. J. Solid State Communications, Vol. 8, Issue 13 https://doi.org/10.1016/0038-1098(70)90262-0	journal	July 1970
Long wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO3 Talbayev, D.; Trugman, S. A.; Lee, Seongsu arXiv https://doi.org/10.48550/arxiv.1102.2552	text	January 2011

Cited By (1)

Progress in BiFeO ₃ -based heterostructures: materials, properties and applications Yin, Li; Mi, Wenbo Nanoscale, Vol. 12, Issue 2 https://doi.org/10.1039/c9nr08800h	journal	January 2020