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Title: Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets

Abstract

We show that the mesoscopic incommensurate Z2 vortex crystals proposed for layered triangular anisotropic magnets can be most saliently identified by two distinctive signatures in dynamical spin response experiments: the presence of pseudo-Goldstone phononlike modes at low frequencies ω, associated with the collective vibrations of the vortex cores, and a characteristic multiscattered intensity profile at higher ω, arising from a large number of Bragg reflections and magnon band gaps. These are direct fingerprints of the large vortex sizes and magnetic unit cells and the solitonic spin profile around the vortex cores.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1549200
Alternate Identifier(s):
OSTI ID: 1637705
Grant/Contract Number:  
SC0018056
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 1; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; frustrated magnetism; magnetic vortices; spin dynamics; strongly correlated systems; Holstein-Primakoff method

Citation Formats

Li, Mengqun, Perkins, Natalia B., and Rousochatzakis, Ioannis. Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets. United States: N. p., 2019. Web. doi:10.1103/PhysRevResearch.1.013002.
Li, Mengqun, Perkins, Natalia B., & Rousochatzakis, Ioannis. Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets. United States. doi:10.1103/PhysRevResearch.1.013002.
Li, Mengqun, Perkins, Natalia B., and Rousochatzakis, Ioannis. Fri . "Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets". United States. doi:10.1103/PhysRevResearch.1.013002.
@article{osti_1549200,
title = {Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets},
author = {Li, Mengqun and Perkins, Natalia B. and Rousochatzakis, Ioannis},
abstractNote = {We show that the mesoscopic incommensurate Z2 vortex crystals proposed for layered triangular anisotropic magnets can be most saliently identified by two distinctive signatures in dynamical spin response experiments: the presence of pseudo-Goldstone phononlike modes at low frequencies ω, associated with the collective vibrations of the vortex cores, and a characteristic multiscattered intensity profile at higher ω, arising from a large number of Bragg reflections and magnon band gaps. These are direct fingerprints of the large vortex sizes and magnetic unit cells and the solitonic spin profile around the vortex cores.},
doi = {10.1103/PhysRevResearch.1.013002},
journal = {Physical Review Research},
number = 1,
volume = 1,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevResearch.1.013002

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Works referenced in this record:

Three-sublattice skyrmion crystal in the antiferromagnetic triangular lattice
journal, December 2015


Breakdown of magnons in a strongly spin-orbital coupled magnet
journal, October 2017


Scanning-Tunneling-Microscope Observation of the Abrikosov Flux Lattice and the Density of States near and inside a Fluxoid
journal, January 1989


Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb α Li 2 IrO 3
journal, May 2016


Spin-orbit physics of j = 1 2 Mott insulators on the triangular lattice
journal, April 2015


Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate β Li 2 IrO 3
journal, October 2017


Global phase diagram, possible chiral spin liquid, and topological superconductivity in the triangular Kitaev–Heisenberg model
journal, April 2015


Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy
journal, May 2016


Quantum order by disorder in the Kitaev model on a triangular lattice
journal, November 2015


Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet β Li 2 IrO 3
journal, March 2018

  • Ducatman, Samuel; Rousochatzakis, Ioannis; Perkins, Natalia B.
  • Physical Review B, Vol. 97, Issue 12
  • DOI: 10.1103/PhysRevB.97.125125

Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
journal, January 2017


Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940


Models and materials for generalized Kitaev magnetism
journal, November 2017

  • Winter, Stephen M.; Tsirlin, Alexander A.; Daghofer, Maria
  • Journal of Physics: Condensed Matter, Vol. 29, Issue 49
  • DOI: 10.1088/1361-648X/aa8cf5

Phase Diagram and Quantum Order by Disorder in the Kitaev K 1 K 2 Honeycomb Magnet
journal, December 2015

  • Rousochatzakis, Ioannis; Reuther, Johannes; Thomale, Ronny
  • Physical Review X, Vol. 5, Issue 4
  • DOI: 10.1103/PhysRevX.5.041035

Persistent low-temperature spin dynamics in the mixed-valence iridate Ba 3 InIr 2 O 9
journal, November 2017


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

Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in Na 2 IrO 3
journal, October 2014


Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in γ Li 2 IrO 3
journal, November 2014


Anisotropic Ru 3 +   4 d 5 magnetism in the α RuCl 3 honeycomb system: Susceptibility, specific heat, and zero-field NMR
journal, May 2015


Commensurate phases, incommensurate phases and the devil's staircase
journal, June 1982


Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β Li 2 IrO 3
journal, June 2018


Ground state phase diagram of the Kitaev-Heisenberg model on a honeycomb-triangular lattice
journal, August 2018

  • Kishimoto, Masanori; Morita, Katsuhiro; Matsubayashi, Yukihiro
  • Physical Review B, Vol. 98, Issue 5
  • DOI: 10.1103/PhysRevB.98.054411

Phase Transition of the Two-Dimensional Heisenberg Antiferromagnet on the Triangular Lattice
journal, December 1984

  • Kawamura, Hikaru; Miyashita, Seiji
  • Journal of the Physical Society of Japan, Vol. 53, Issue 12
  • DOI: 10.1143/JPSJ.53.4138

α RuCl 3 : A spin-orbit assisted Mott insulator on a honeycomb lattice
journal, July 2014


Spin waves in a triangular lattice antiferromagnet: Decays, spectrum renormalization, and singularities
journal, April 2009


A Microscopic Theory of the Phase Transition in RbFeCl 3 -Type Hexagonal Antiferromagnets: Effects of the Dipole-Dipole Interaction
journal, September 1983

  • Suzuki, Naoshi
  • Journal of the Physical Society of Japan, Vol. 52, Issue 9
  • DOI: 10.1143/JPSJ.52.3199

Density-Matrix Renormalization Group Study of Kitaev–Heisenberg Model on a Triangular Lattice
journal, November 2016

  • Shinjo, Kazuya; Sota, Shigetoshi; Yunoki, Seiji
  • Journal of the Physical Society of Japan, Vol. 85, Issue 11
  • DOI: 10.7566/JPSJ.85.114710

Putative spin liquid in the triangle-based iridate Ba 3 IrTi 2 O 9
journal, July 2017


Real-Space Observation of Skyrmion Lattice in Helimagnet MnSi Thin Samples
journal, February 2012

  • Tonomura, Akira; Yu, Xiuzhen; Yanagisawa, Keiichi
  • Nano Letters, Vol. 12, Issue 3
  • DOI: 10.1021/nl300073m

Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
journal, April 2019


Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate
journal, June 2014

  • Modic, K. A.; Smidt, Tess E.; Kimchi, Itamar
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5203

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


The quantum nature of skyrmions and half-skyrmions in Cu2OSeO3
journal, November 2014

  • Janson, Oleg; Rousochatzakis, Ioannis; Tsirlin, Alexander A.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6376

Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets
journal, April 2017


Zigzag Magnetic Order in the Iridium Oxide Na 2 IrO 3
journal, February 2013


Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
journal, April 2016

  • Banerjee, A.; Bridges, C. A.; Yan, J. -Q.
  • Nature Materials, Vol. 15, Issue 7
  • DOI: 10.1038/nmat4604

Monoclinic crystal structure of α RuCl 3 and the zigzag antiferromagnetic ground state
journal, December 2015


Anyons in an exactly solved model and beyond
journal, January 2006


Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
journal, March 2016


Magnetic order in α RuCl 3 : A honeycomb-lattice quantum magnet with strong spin-orbit coupling
journal, April 2015


Kitaev-Heisenberg model in a magnetic field: Order-by-disorder and commensurate-incommensurate transitions
journal, April 2017


Antiferromagnetic Arrangements in Ferrites
journal, July 1952


Skyrmion Lattice in a Chiral Magnet
journal, February 2009


Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
journal, March 2018


Spin-liquid behavior in J eff = 1 2 triangular lattice compound Ba 3 IrTi 2 O 9
journal, October 2012


Hyperhoneycomb Iridate β Li 2 IrO 3 as a Platform for Kitaev Magnetism
journal, February 2015


Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO4
journal, November 2015

  • Li, Yuesheng; Liao, Haijun; Zhang, Zhen
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep16419

Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit
journal, February 2014


Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
journal, July 2018


Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate γ Li 2 IrO 3
journal, July 2017


Skyrmion flow near room temperature in an ultralow current density
journal, January 2012

  • Yu, X. Z.; Kanazawa, N.; Zhang, W. Z.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1990

Coupled Skyrmion Sublattices in Cu 2 OSeO 3
journal, April 2014


Rare-Earth Triangular Lattice Spin Liquid: A Single-Crystal Study of YbMgGaO 4
journal, October 2015


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

Topological triple-vortex lattice stabilized by mixed frustration in expanded honeycomb Kitaev-Heisenberg model
journal, May 2016

  • Yao, Xiaoyan; Dong, Shuai
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep26750

Field-Induced Commensurate-Incommensurate Phase Transition in a Dzyaloshinskii-Moriya Spiral Antiferromagnet
journal, June 1997


Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
journal, January 2014


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


Kitaev anisotropy induces mesoscopic Z 2 vortex crystals in frustrated hexagonal antiferromagnets
journal, March 2016

  • Rousochatzakis, Ioannis; Rössler, Ulrich K.; van den Brink, Jeroen
  • Physical Review B, Vol. 93, Issue 10
  • DOI: 10.1103/PhysRevB.93.104417

Dynamical structure factor of the triangular-lattice antiferromagnet
journal, September 2013


Magnetic orders proximal to the Kitaev limit in frustrated triangular systems: Application to Ba 3 IrTi 2 O 9
journal, October 2015


Crystalline liquids: the blue phases
journal, April 1989


Observation of Skyrmions in a Multiferroic Material
journal, April 2012


Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009


The direct observation of individual flux lines in type II superconductors
journal, May 1967


Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals
journal, December 2016


Phase diagrams of systems exhibiting incommensurate structures
journal, November 1985