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Title: Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy

Abstract

Here we clarify the conditions for the emergence of multiple-Q structures out of lattice and easy-axis spin anisotropy in frustrated magnets. By considering magnets whose exchange interaction has multiple global minima in momentum space, we find that both types of anisotropy stabilize triple-Q orderings. Moderate anisotropy leads to a magnetic field-induced skyrmion crystal, which evolves into a bubble crystal for increasing spatial and spin anisotropy. Lastly, the bubble crystal exhibits a quasi-continuous (devil’s staircase) temperature dependent ordering wave-vector, characteristic of the competition between frustrated exchange and strong easy-axis anisotropy.

Authors:
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division; Hokkaido Univ., Sapporo (Japan). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Condensed Matter Division
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1304725
Alternate Identifier(s):
OSTI ID: 1253023; OSTI ID: 1338738
Report Number(s):
LA-UR-16-22603; LA-UR-16-20104
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 18; 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; 36 MATERIALS SCIENCE; skyrmion crystals; frustrated magnets; anisotropy; bubble crystal; Material Science

Citation Formats

Hayami, Satoru, Lin, Shi-Zeng, and Batista, Cristian D. Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.184413.
Hayami, Satoru, Lin, Shi-Zeng, & Batista, Cristian D. Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy. United States. https://doi.org/10.1103/PhysRevB.93.184413
Hayami, Satoru, Lin, Shi-Zeng, and Batista, Cristian D. Thu . "Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy". United States. https://doi.org/10.1103/PhysRevB.93.184413. https://www.osti.gov/servlets/purl/1304725.
@article{osti_1304725,
title = {Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy},
author = {Hayami, Satoru and Lin, Shi-Zeng and Batista, Cristian D.},
abstractNote = {Here we clarify the conditions for the emergence of multiple-Q structures out of lattice and easy-axis spin anisotropy in frustrated magnets. By considering magnets whose exchange interaction has multiple global minima in momentum space, we find that both types of anisotropy stabilize triple-Q orderings. Moderate anisotropy leads to a magnetic field-induced skyrmion crystal, which evolves into a bubble crystal for increasing spatial and spin anisotropy. Lastly, the bubble crystal exhibits a quasi-continuous (devil’s staircase) temperature dependent ordering wave-vector, characteristic of the competition between frustrated exchange and strong easy-axis anisotropy.},
doi = {10.1103/PhysRevB.93.184413},
journal = {Physical Review B},
number = 18,
volume = 93,
place = {United States},
year = {Thu May 12 00:00:00 EDT 2016},
month = {Thu May 12 00:00:00 EDT 2016}
}

Journal Article:

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Cited by: 118 works
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Works referenced in this record:

A New Type of Antiferromagnetic Structure in the Rutile Type Crystal
journal, June 1959

  • Yoshimori, Akio
  • Journal of the Physical Society of Japan, Vol. 14, Issue 6
  • DOI: 10.1143/JPSJ.14.807

Some Effects of Anisotropy on Spiral Spin-Configurations with Application to Rare-Earth Metals
journal, October 1961


Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons
journal, October 1954


A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model
journal, July 1956

  • Kasuya, Tadao
  • Progress of Theoretical Physics, Vol. 16, Issue 1
  • DOI: 10.1143/PTP.16.45

Magnetic Properties of Cu-Mn Alloys
journal, June 1957


Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models
journal, October 2008


Spin Chirality Ordering and Anomalous Hall Effect in the Ferromagnetic Kondo Lattice Model on a Triangular Lattice
journal, August 2010

  • Akagi, Yutaka; Motome, Yukitoshi
  • Journal of the Physical Society of Japan, Vol. 79, Issue 8
  • DOI: 10.1143/JPSJ.79.083711

Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model
journal, December 2010


Hidden Multiple-Spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
journal, February 2012


Efficient Langevin simulation of coupled classical fields and fermions
journal, December 2013


Multiple- Q instability by ( d 2 ) -dimensional connections of Fermi surfaces
journal, August 2014


Spin Disorder on a Triangular Lattice
journal, September 2005


Inelastic neutron scattering investigation of the magnetic excitations in the helimagnetic state of NiBr2
journal, January 1982


Neutron diffraction study of the incommensurate magnetic phase of Ni 0.92 Zn 0.08 Br 2
journal, August 1981


Phase transitions with spontaneous modulation-the dipolar Ising ferromagnet
journal, July 1982


Multiple- q States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet under Magnetic Fields
journal, January 2012


Thermodynamically stable magnetic vortex states in magnetic crystals
journal, December 1994


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
  • DOI: 10.1038/nature05056

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
journal, September 2015

  • Leonov, A. O.; Mostovoy, M.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9275

Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
journal, February 2016


Magnetic Vortex Crystals in Frustrated Mott Insulator
journal, February 2014


Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
journal, September 2015


Novel phases in a square-lattice frustrated ferromagnet : 1 3 -magnetization plateau, helicoidal spin liquid, and vortex crystal
journal, February 2016


Phases of a Triangular-Lattice Antiferromagnet Near Saturation
journal, August 2014


Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966


Steady-State Motion of Magnetic Domains
journal, February 1973


Hexatic-to-liquid melting transition in two-dimensional magnetic-bubble lattices
journal, May 1991


Infinitely Many Commensurate Phases in a Simple Ising Model
journal, June 1980


The ANNNI model — Theoretical analysis and experimental application
journal, November 1988


Magnetic phase diagrams and helical magnetic phases inMxNi1−xBr2 (M =Fe, Mn): A neutron diffraction and magneto-optical study
journal, August 1985


Observation of a Complex Nanoscale Magnetic Structure in a Hexagonal Fe Monolayer
journal, April 2006


Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions
journal, July 2011

  • Heinze, Stefan; von Bergmann, Kirsten; Menzel, Matthias
  • Nature Physics, Vol. 7, Issue 9
  • DOI: 10.1038/nphys2045

Infinitely Many Commensurate Phases in a Simple Ising Model.
journal, July 1980


Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, December 1966


Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
text, January 2010


Efficient Langevin Simulation of Coupled Classical Fields and Fermions
text, January 2013


Phases of triangular lattice antiferromagnet near saturation
text, January 2014


Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
text, January 2015


Works referencing / citing this record:

Current‐Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet
journal, November 2019


Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets
journal, May 2019

  • Yu, Jianhe; Li, Weihao; Huang, Zongpeng
  • physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11
  • DOI: 10.1002/pssr.201900161

Edge states and skyrmion dynamics in nanostripes of frustrated magnets
journal, February 2017


Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4
journal, October 2016

  • Gao, Shang; Zaharko, Oksana; Tsurkan, Vladimir
  • Nature Physics, Vol. 13, Issue 2
  • DOI: 10.1038/nphys3914

Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition
journal, November 2017


Skyrmion phase and competing magnetic orders on a breathing kagomé lattice
journal, December 2019


Creation and Annihilation of Skyrmions in the Frustrated Magnets with Competing Exchange Interactions
journal, November 2017


Frustration and chiral orderings in correlated electron systems
journal, July 2016


Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets
journal, May 2018


Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic Bilayer
journal, April 2019


Cluster glass behavior of the frustrated birnessites A x Mn O 2 · y H 2 O ( A = Na , K )
journal, December 2019


Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
journal, November 2016


Skyrmions and multisublattice helical states in a frustrated chiral magnet
journal, October 2017


Effect of magnetic anisotropy on skyrmions with a high topological number in itinerant magnets
journal, March 2019


Dynamical and Reversible Control of Topological Spin Textures
journal, April 2017


Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
journal, August 2019


Disordered skyrmion phase stabilized by magnetic frustration in a chiral magnet
journal, September 2018

  • Karube, Kosuke; White, Jonathan S.; Morikawa, Daisuke
  • Science Advances, Vol. 4, Issue 9
  • DOI: 10.1126/sciadv.aar7043

Spiral spin structures and skyrmions in multiferroics
journal, September 2019


Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets
journal, May 2019

  • Yu, Jianhe; Li, Weihao; Huang, Zongpeng
  • physica status solidi (RRL) – Rapid Research Letters, Vol. 13, Issue 11
  • DOI: 10.1002/pssr.201970040

Spiral spin-liquid and the emergence of a vortex-like state in MnSc$_2$S$_4$
text, January 2016


Skyrmions with attractive interactions in an ultrathin magnetic film
text, January 2016


Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
text, January 2017


Principal Chiral Model in Correlated Electron Systems
text, January 2018


Skyrmion crystals in frustrated Shastry-Sutherland magnets
text, January 2018