DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets

Abstract

Recently there has been substantial interest in realizations of skyrmions, in particular in quasi-two-dimensional (2D) systems due to increased stability resulting from reduced dimensionality. A stable skyrmion, representing the smallest realizable magnetic texture, could be an ideal element for ultradense magnetic memories. Here we use the most general form of the quasi-2D free energy with Dzyaloshinskii-Moriya interactions constructed from general symmetry considerations reflecting the underlying system. We predict that the skyrmion phase is robust and it is present even when the system lacks the in-plane rotational symmetry. In fact, the lowered symmetry leads to increased stability of vortex-antivortex lattices with fourfold symmetry and in-plane spirals, in some instances even in the absence of an external magnetic field. Our results relate different hexagonal and square cell phases to the symmetries of materials used for realizations of skyrmions. This will give clear directions for experimental realizations of hexagonal and square cell phases, and will allow engineering of skyrmions with unusual properties. We also predict striking differences in gyrodynamics induced by spin currents for isolated skyrmions and for crystals where spin currents can be induced by charge carriers or by thermal magnons. As a result, we find that under certain conditions, isolated skyrmionsmore » can move along the current without a side motion which can have implications for realizations of magnetic memories.« less

Authors:
 [1];  [1];  [2];  [1];  [1]
  1. Univ. of Nebraska, Lincoln, NE (United States)
  2. Tohoku Univ., Sendai (Japan); Far Eastern Federal Univ., Vladivostok (Russia)
Publication Date:
Research Org.:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1253328
Alternate Identifier(s):
OSTI ID: 1239428
Grant/Contract Number:  
SC0014189
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 6; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Gungordu, Utkan, Nepal, Rabindra, Tretiakov, Oleg A., Belashchenko, Kirill, and Kovalev, Alexey A. Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.064428.
Gungordu, Utkan, Nepal, Rabindra, Tretiakov, Oleg A., Belashchenko, Kirill, & Kovalev, Alexey A. Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets. United States. https://doi.org/10.1103/PhysRevB.93.064428
Gungordu, Utkan, Nepal, Rabindra, Tretiakov, Oleg A., Belashchenko, Kirill, and Kovalev, Alexey A. Wed . "Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets". United States. https://doi.org/10.1103/PhysRevB.93.064428. https://www.osti.gov/servlets/purl/1253328.
@article{osti_1253328,
title = {Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets},
author = {Gungordu, Utkan and Nepal, Rabindra and Tretiakov, Oleg A. and Belashchenko, Kirill and Kovalev, Alexey A.},
abstractNote = {Recently there has been substantial interest in realizations of skyrmions, in particular in quasi-two-dimensional (2D) systems due to increased stability resulting from reduced dimensionality. A stable skyrmion, representing the smallest realizable magnetic texture, could be an ideal element for ultradense magnetic memories. Here we use the most general form of the quasi-2D free energy with Dzyaloshinskii-Moriya interactions constructed from general symmetry considerations reflecting the underlying system. We predict that the skyrmion phase is robust and it is present even when the system lacks the in-plane rotational symmetry. In fact, the lowered symmetry leads to increased stability of vortex-antivortex lattices with fourfold symmetry and in-plane spirals, in some instances even in the absence of an external magnetic field. Our results relate different hexagonal and square cell phases to the symmetries of materials used for realizations of skyrmions. This will give clear directions for experimental realizations of hexagonal and square cell phases, and will allow engineering of skyrmions with unusual properties. We also predict striking differences in gyrodynamics induced by spin currents for isolated skyrmions and for crystals where spin currents can be induced by charge carriers or by thermal magnons. As a result, we find that under certain conditions, isolated skyrmions can move along the current without a side motion which can have implications for realizations of magnetic memories.},
doi = {10.1103/PhysRevB.93.064428},
journal = {Physical Review B},
number = 6,
volume = 93,
place = {United States},
year = {Wed Feb 24 00:00:00 EST 2016},
month = {Wed Feb 24 00:00:00 EST 2016}
}

Journal Article:

Citation Metrics:
Cited by: 55 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A unified field theory of mesons and baryons
journal, March 1962


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


Skyrmion Lattice in a Chiral Magnet
journal, February 2009


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

Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet
journal, August 2009


Real-space observation of a two-dimensional skyrmion crystal
journal, June 2010


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

Chiral skyrmions in thin magnetic films: new objects for magnetic storage technologies?
journal, September 2011


Magnetoelectric nature of skyrmions in a chiral magnetic insulator Cu 2 OSeO 3
journal, August 2012


Melting of hexagonal skyrmion states in chiral magnets
journal, May 2013


Helimagnons in the skyrmion lattice of MnSi
journal, January 2010


Skyrmion lattice phase in three-dimensional chiral magnets from Monte Carlo simulations
journal, November 2013


Spirals and Skyrmions in Two Dimensional Oxide Heterostructures
journal, February 2014


Skyrmionic spin Seebeck effect via dissipative thermomagnonic torques
journal, June 2014


Skyrmion lattice in a two-dimensional chiral magnet
journal, September 2010


Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
journal, September 2014


Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
journal, June 2015


Dynamics and inertia of skyrmionic spin structures
journal, February 2015

  • Büttner, Felix; Moutafis, C.; Schneider, M.
  • Nature Physics, Vol. 11, Issue 3
  • DOI: 10.1038/nphys3234

Chiral Skyrmionic matter in non-centrosymmetric magnets
journal, July 2011


A new class of chiral materials hosting magnetic skyrmions beyond room temperature
journal, July 2015

  • Tokunaga, Y.; Yu, X. Z.; White, J. S.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8638

ac Current Generation in Chiral Magnetic Insulators and Skyrmion Motion induced by the Spin Seebeck Effect
journal, May 2014


Chiral skyrmions in cubic helimagnet films: The role of uniaxial anisotropy
journal, March 2014


Universal current-velocity relation of skyrmion motion in chiral magnets
journal, February 2013

  • Iwasaki, Junichi; Mochizuki, Masahito; Nagaosa, Naoto
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2442

Skyrmions on the track
journal, March 2013

  • Fert, Albert; Cros, Vincent; Sampaio, João
  • Nature Nanotechnology, Vol. 8, Issue 3
  • DOI: 10.1038/nnano.2013.29

Spin Transfer Torques in MnSi at Ultralow Current Densities
journal, December 2010


Emergent electrodynamics of skyrmions in a chiral magnet
journal, February 2012

  • Schulz, T.; Ritz, R.; Bauer, A.
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2231

Topological properties and dynamics of magnetic skyrmions
journal, December 2013


A strategy for the design of skyrmion racetrack memories
journal, October 2014

  • Tomasello, R.; Martinez, E.; Zivieri, R.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep06784

Memory functions of magnetic skyrmions
journal, April 2015

  • Koshibae, Wataru; Kaneko, Yoshio; Iwasaki, Junichi
  • Japanese Journal of Applied Physics, Vol. 54, Issue 5
  • DOI: 10.7567/JJAP.54.053001

Dynamics of an Insulating Skyrmion under a Temperature Gradient
journal, August 2013


Thermally driven ratchet motion of a skyrmion microcrystal and topological magnon Hall effect
journal, January 2014

  • Mochizuki, M.; Yu, X. Z.; Seki, S.
  • Nature Materials, Vol. 13, Issue 3
  • DOI: 10.1038/nmat3862

Anomalous Hall effect
journal, May 2010


Dynamics of Skyrmion Crystals in Metallic Thin Films
journal, September 2011


Non-Fermi-liquid nature of the normal state of itinerant-electron ferromagnets
journal, November 2001

  • Pfleiderer, C.; Julian, S. R.; Lonzarich, G. G.
  • Nature, Vol. 414, Issue 6862
  • DOI: 10.1038/35106527

Fermi-liquid breakdown in the paramagnetic phase of a pure metal
journal, October 2003

  • Doiron-Leyraud, N.; Walker, I. R.; Taillefer, L.
  • Nature, Vol. 425, Issue 6958
  • DOI: 10.1038/nature01968

Anomalous Fermi-liquid phase in metallic skyrmion crystals
journal, July 2014


A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958


Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960


Theory of helical magnetic structures and phase transitions in MnSi and FeGe
journal, November 1980


Near room-temperature formation of a skyrmion crystal in thin-films of the helimagnet FeGe
journal, December 2010

  • Yu, X. Z.; Kanazawa, N.; Onose, Y.
  • Nature Materials, Vol. 10, Issue 2
  • DOI: 10.1038/nmat2916

Chiral magnetic order at surfaces driven by inversion asymmetry
journal, May 2007


Writing and Deleting Single Magnetic Skyrmions
journal, August 2013


Tailoring magnetic skyrmions in ultra-thin transition metal films
journal, June 2014

  • Dupé, Bertrand; Hoffmann, Markus; Paillard, Charles
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5030

Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature
journal, January 2016

  • Moreau-Luchaire, C.; Moutafis, C.; Reyren, N.
  • Nature Nanotechnology, Vol. 11, Issue 5
  • DOI: 10.1038/nnano.2015.313

Titanium dx y ferromagnetism at the LaAlO3/SrTiO3 interface
journal, June 2013

  • Lee, J. -S.; Xie, Y. W.; Sato, H. K.
  • Nature Materials, Vol. 12, Issue 8
  • DOI: 10.1038/nmat3674

Carrier-Controlled Ferromagnetism in SrTiO 3
journal, June 2012

  • Moetakef, Pouya; Williams, James R.; Ouellette, Daniel G.
  • Physical Review X, Vol. 2, Issue 2
  • DOI: 10.1103/PhysRevX.2.021014

Ferromagnetic exchange, spin–orbit coupling and spiral magnetism at the LaAlO3/SrTiO3 interface
journal, August 2013

  • Banerjee, Sumilan; Erten, Onur; Randeria, Mohit
  • Nature Physics, Vol. 9, Issue 10
  • DOI: 10.1038/nphys2702

Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure
journal, April 2014

  • Fan, Yabin; Upadhyaya, Pramey; Kou, Xufeng
  • Nature Materials, Vol. 13, Issue 7
  • DOI: 10.1038/nmat3973

Spin and orbital magnetic response on the surface of a topological insulator
journal, January 2015


Chirality from Interfacial Spin-Orbit Coupling Effects in Magnetic Bilayers
journal, November 2013


Spin Hall phenomenology of magnetic dynamics
journal, July 2014


Interplay of Rashba/Dresselhaus spin splittings probed by photogalvanic spectroscopy -A review: Interplay of Rashba/Dresselhaus spin splittings
journal, March 2014

  • Ganichev, Sergey D.; Golub, Leonid E.
  • physica status solidi (b), Vol. 251, Issue 9
  • DOI: 10.1002/pssb.201350261

Current Driven Magnetization Dynamics in Ferromagnetic Nanowires with a Dzyaloshinskii-Moriya Interaction
journal, October 2010


Skyrmions in chiral magnets with Rashba and Dresselhaus spin-orbit coupling
journal, January 2016


Stripes in thin ferromagnetic films with out-of-plane anisotropy
journal, May 2007


Experimental Separation of Rashba and Dresselhaus Spin Splittings in Semiconductor Quantum Wells
journal, June 2004


Effects of Rashba and Dresselhaus spin–orbit interactions on the ground state of two-dimensional localized spins
journal, April 2014


Spin-orbit coupling mediated spin torque in a single ferromagnetic layer
journal, September 2009


Steady-State Motion of Magnetic Domains
journal, February 1973


Dynamics of Domain Walls in Magnetic Nanostrips
journal, March 2008


Magnon-skyrmion scattering in chiral magnets
journal, September 2014


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

Scattering of high-energy magnons off a magnetic skyrmion
journal, October 2015

  • Schroeter, Sarah; Garst, Markus
  • Low Temperature Physics, Vol. 41, Issue 10
  • DOI: 10.1063/1.4932356

Magnetization pumping and dynamics in a Dzyaloshinskii-Moriya magnet
journal, March 2015


Landau-Lifshitz theory of thermomagnonic torque
journal, July 2015


Berry phase of magnons in textured ferromagnets
journal, July 2005


Works referencing / citing this record:

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


Trochoidal motion and pair generation in skyrmion and antiskyrmion dynamics under spin–orbit torques
journal, August 2018


Dynamics of an elliptical ferromagnetic skyrmion driven by the spin–orbit torque
journal, January 2020

  • Xia, Jing; Zhang, Xichao; Ezawa, Motohiko
  • Applied Physics Letters, Vol. 116, Issue 2
  • DOI: 10.1063/1.5132915

Phason thermal transport of three-helix state in insulating chiral magnets
journal, May 2018


Trochoidal antiskyrmion motion with microwave electric fields
journal, August 2019

  • Song, Chengkun; Jin, Chendong; Ma, Yunxu
  • Journal of Physics D: Applied Physics, Vol. 52, Issue 43
  • DOI: 10.1088/1361-6463/ab36d2

Edge instabilities and skyrmion creation in magnetic layers
journal, June 2016


Tunable skyrmion-skyrmion binding on the surface of a topological insulator
journal, September 2019


Interface-driven topological Hall effect in SrRuO 3 -SrIrO 3 bilayer
journal, July 2016


Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interactions
text, January 2017


Skyrmions and Antiskyrmions in Quasi-Two-Dimensional Magnets
journal, September 2018


Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interactions
journal, August 2017


Interface-driven topological Hall effect in SrRuO$_3$-SrIrO$_3$ bilayer
text, January 2016


Micromagnetics of anti-skyrmions in ultrathin films
text, January 2017


Trochoidal motion and pair generation in skyrmion and antiskyrmion dynamics under spin-orbit torques
preprint, January 2018


Skyrmions and antiskyrmions in quasi-two-dimensional magnets
text, January 2018


Tunable skyrmion-skyrmion binding on the surface of a topological insulator
text, January 2019