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

Abstract

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 alsomore »« less

Authors:

Fishman, Randy S. ^[1]

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

Publication Date:: 2018-01-03

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

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

OSTI Identifier:: 1422612

Alternate Identifier(s):: OSTI ID: 1415531

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; antiferromagnetism; domains; magnetic anisotropy; condensed matter & materials physics

Citation Formats


                    Fishman, Randy S. Pinning, rotation, and metastability of BiFeO3 cycloidal domains in a magnetic field.  United States: N. p., 2018. 
Web.  doi:10.1103/physrevb.97.014405.

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                    Fishman, Randy S. Pinning, rotation, and metastability of BiFeO3 cycloidal domains in a magnetic field.  United States.  https://doi.org/10.1103/physrevb.97.014405

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                    Fishman, Randy S. Wed .  
"Pinning, rotation, and metastability of BiFeO3 cycloidal domains in a magnetic field".  United States.  https://doi.org/10.1103/physrevb.97.014405.  https://www.osti.gov/servlets/purl/1422612.

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@article{osti_1422612,

  title        = {Pinning, rotation, and metastability of BiFeO3 cycloidal domains in a magnetic field},

  author       = {Fishman, Randy S.},

  abstractNote = {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 Bc1≈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 τpin. 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.},

  doi          = {10.1103/physrevb.97.014405},

  journal      = {Physical Review. B},

  number       = 1,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {1}

}

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https://doi.org/10.1103/physrevb.97.014405

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Cited by: 9 works

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FIG. 1:: A hexagonal plane normal to Z with the magnetic field taken to lie along X. In zero field, three domains with wave vectors q_k are stable. Wave vectors q₁ and q₃ rotate towards Y⊥m with increasing field. A domain with wave vector q′ ‖ Y is stable abovemore »

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Works referenced in this record:

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Works referencing / citing this record:

Progress in BiFeO ₃ -based heterostructures: materials, properties and applications
journal, January 2020

Yin, Li; Mi, Wenbo
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Direct coupling of ferromagnetic moment and ferroelectric polarization in ${BiFeO}_{3}$
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Kawachi, Shiro; Miyahara, Shin; Ito, Toshimitsu
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Magnetic Field Control of Cycloidal Domains and Electric Polarization in Multiferroic ${BiFeO}_{3}$
journal, April 2018

Bordács, S.; Farkas, D. G.; White, J. S.
Physical Review Letters, Vol. 120, Issue 14
DOI: 10.1103/physrevlett.120.147203

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

Abstract

Citation Formats

Figures / Tables:

Local Weak Ferromagnetism in Single-Crystalline Ferroelectric BiFeO 3 journal, November 2011

Flexomagnetoelectric interaction in multiferroics journal, August 2009

Magnetic Cycloid of BiFeO 3 from Atomistic Simulations journal, July 2012

Negative magnetostrictive magnetoelectric coupling of BiFeO 3 journal, August 2013

Giant Spin-Driven Ferroelectric Polarization in BiFeO 3 at Room Temperature journal, November 2015

Electrical control of antiferromagnetic domains in multiferroic BiFeO3 films at room temperature journal, September 2006

Origin of the giant linear magnetoelectric effect in perovskitelike multiferroic BiFeO 3 journal, March 2016

Very large spontaneous electric polarization in BiFeO3 single crystals at room temperature and its evolution under cycling fields journal, July 2007

Structure and spin dynamics of multiferroic BiFeO 3 journal, October 2014

Polar phonons and spin excitations coupling in multiferroic BiFeO 3 crystals journal, May 2009

Field dependence of the spin state and spectroscopic modes of multiferroic BiFeO 3 journal, June 2013

Tight-binding approach to the orbital magnetic moment and magnetocrystalline anisotropy of transition-metal monolayers journal, January 1989

Magnetoelectric Feedback among Magnetic Order, Polarization, and Lattice in Multiferroic BiFeO 3 journal, November 2011

Domain Wall Creep in an Ising Ultrathin Magnetic Film journal, January 1998

On the problem of coexistence of the weak ferromagnetism and the spin flexoelectricity in multiferroic bismuth ferrite journal, September 2012

Noncollinear magnetism and single-ion anisotropy in multiferroic perovskites journal, September 2012

The magnetocrystalline anisotropy of cobalt journal, October 1984

Spin state and spectroscopic modes of multiferroic BiFeO 3 journal, April 2013

Terahertz Spectroscopy of Spin Waves in Multiferroic BiFeO 3 in High Magnetic Fields journal, June 2013

Origin of the long period magnetic ordering in BiFeO3 journal, February 1995

Long-wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO 3 journal, March 2011

Pinning of magnetic domain walls to structural defects in thin layers within a Heisenberg-type model journal, March 2007

Orientation dependence of the critical magnetic field for multiferroic BiFeO 3 journal, September 2013

High-Field Study of Strong Magnetoelectric Coupling in Single-Domain Crystals of BiFeO 3 journal, June 2010

Spiral magnetic ordering in bismuth ferrite journal, August 1982

Room-temperature coexistence of large electric polarization and magnetic order in Bi Fe O 3 single crystals journal, July 2007

Theory of collective flux creep journal, November 1989

Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite 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’ journal, December 2006

Self-polarized terahertz magnon absorption in a single crystal of BiFeO 3 journal, August 2016

Trigonal Magnetocrystalline Anisotropy in Hexagonal Oxides journal, August 1960

Magnetic control of transverse electric polarization in BiFeO3 journal, January 2015

Optical coupling to spin waves in the cycloidal multiferroic Bi Fe O 3 journal, January 2008

First-principles approach to the dynamic magnetoelectric couplings for the non-reciprocal directional dichroism in BiFeO 3 journal, April 2016

Modes of Periodic Domain Wall Motion in Ultrathin Ferromagnetic Layers journal, August 2007

Multiferroic and magnetoelectric materials journal, August 2006

Dielectric hysteresis in single crystal BiFeO3 journal, July 1970

Long wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO3 text, January 2011

Progress in BiFeO 3 -based heterostructures: materials, properties and applications journal, January 2020

Direct coupling of ferromagnetic moment and ferroelectric polarization in BiFeO 3 journal, October 2019

Magnetic Field Control of Cycloidal Domains and Electric Polarization in Multiferroic BiFeO 3 journal, April 2018

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

Local Weak Ferromagnetism in Single-Crystalline Ferroelectric ${BiFeO}_{3}$
journal, November 2011

Flexomagnetoelectric interaction in multiferroics
journal, August 2009

Magnetic Cycloid of ${BiFeO}_{3}$ from Atomistic Simulations
journal, July 2012

Negative magnetostrictive magnetoelectric coupling of BiFeO $_{3}$
journal, August 2013

Giant Spin-Driven Ferroelectric Polarization in ${BiFeO}_{3}$ at Room Temperature
journal, November 2015

Electrical control of antiferromagnetic domains in multiferroic BiFeO3 films at room temperature
journal, September 2006

Origin of the giant linear magnetoelectric effect in perovskitelike multiferroic ${BiFeO}_{3}$
journal, March 2016

Very large spontaneous electric polarization in BiFeO3 single crystals at room temperature and its evolution under cycling fields
journal, July 2007

Structure and spin dynamics of multiferroic BiFeO ₃
journal, October 2014

Polar phonons and spin excitations coupling in multiferroic ${BiFeO}_{3}$ crystals
journal, May 2009

Field dependence of the spin state and spectroscopic modes of multiferroic BiFeO $_{3}$
journal, June 2013

Tight-binding approach to the orbital magnetic moment and magnetocrystalline anisotropy of transition-metal monolayers
journal, January 1989

Magnetoelectric Feedback among Magnetic Order, Polarization, and Lattice in Multiferroic BiFeO ₃
journal, November 2011

Domain Wall Creep in an Ising Ultrathin Magnetic Film
journal, January 1998

On the problem of coexistence of the weak ferromagnetism and the spin flexoelectricity in multiferroic bismuth ferrite
journal, September 2012

Noncollinear magnetism and single-ion anisotropy in multiferroic perovskites
journal, September 2012

The magnetocrystalline anisotropy of cobalt
journal, October 1984

Spin state and spectroscopic modes of multiferroic BiFeO $_{3}$
journal, April 2013

Terahertz Spectroscopy of Spin Waves in Multiferroic ${BiFeO}_{3}$ in High Magnetic Fields
journal, June 2013

Origin of the long period magnetic ordering in BiFeO3
journal, February 1995

Long-wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO $_{3}$
journal, March 2011

Pinning of magnetic domain walls to structural defects in thin layers within a Heisenberg-type model
journal, March 2007

Orientation dependence of the critical magnetic field for multiferroic BiFeO $_{3}$
journal, September 2013

High-Field Study of Strong Magnetoelectric Coupling in Single-Domain Crystals of BiFeO ₃
journal, June 2010

Spiral magnetic ordering in bismuth ferrite
journal, August 1982

Room-temperature coexistence of large electric polarization and magnetic order in $Bi Fe O_{3}$ single crystals
journal, July 2007

Theory of collective flux creep
journal, November 1989

Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite
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’
journal, December 2006

Self-polarized terahertz magnon absorption in a single crystal of ${BiFeO}_{3}$
journal, August 2016

Trigonal Magnetocrystalline Anisotropy in Hexagonal Oxides
journal, August 1960

Magnetic control of transverse electric polarization in BiFeO3
journal, January 2015

Optical coupling to spin waves in the cycloidal multiferroic $Bi Fe O_{3}$
journal, January 2008

First-principles approach to the dynamic magnetoelectric couplings for the non-reciprocal directional dichroism in BiFeO ₃
journal, April 2016

Modes of Periodic Domain Wall Motion in Ultrathin Ferromagnetic Layers
journal, August 2007

Multiferroic and magnetoelectric materials
journal, August 2006

Dielectric hysteresis in single crystal BiFeO3
journal, July 1970

Long wavelength magnetic and magnetoelectric excitations in the ferroelectric antiferromagnet BiFeO3
text, January 2011

Progress in BiFeO ₃ -based heterostructures: materials, properties and applications
journal, January 2020

Direct coupling of ferromagnetic moment and ferroelectric polarization in ${BiFeO}_{3}$
journal, October 2019

Magnetic Field Control of Cycloidal Domains and Electric Polarization in Multiferroic ${BiFeO}_{3}$
journal, April 2018