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Title: Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet β Li 2 IrO 3

Journal Article · · Physical Review B

We present a theoretical study of the static and dynamical properties of the three-dimensional, hyperhoneycomb Kitaev magnet β–Li2IrO3. We argue that the observed incommensurate order can be understood in terms of a long-wavelength twisting of a nearby commensurate period-3 state, with the same key qualitatively features. The period-3 state shows very different structure when either the Kitaev interaction K or the off-diagonal exchange anisotropy Γ is dominant. A comparison of the associated static spin structure factors with reported scattering experiments in zero and finite fields gives strong evidence that β–Li2IrO3 lies in the regime of dominant Kitaev coupling, and that the Heisenberg exchange J is much weaker than both K and Γ. Furthermore, our predictions for the magnon excitation spectra, the dynamical spin structure factors, and their polarization dependence provide additional distinctive fingerprints that can be checked experimentally.

Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
SC0018056; DMR-1511768; PHY-1125915
OSTI ID:
1637941
Alternate ID(s):
OSTI ID: 1426520
Journal Information:
Physical Review B, Vol. 97, Issue 12; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

References (90)

Theory of Electromagnons in the Multiferroic Mn Perovskites: The Vital Role of Higher Harmonic Components of the Spiral Spin Order journal April 2010
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
Theory of Dipole Interaction in Crystals journal December 1946
Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate β Li 2 IrO 3 journal October 2017
Classification of gapless Z 2 spin liquids in three-dimensional Kitaev models journal February 2016
Phase diagram of α RuCl 3 in an in-plane magnetic field journal May 2017
Correlated Quantum Phenomena in the Strong Spin-Orbit Regime journal March 2014
Chiral magnetism and helimagnons in a pyrochlore antiferromagnet journal February 2013
Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in β Li 2 IrO 3 : Full solution via magnetic resonant x-ray diffraction journal November 2014
Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet journal December 1940
Exactly solvable Kitaev model in three dimensions journal January 2009
Robust spin correlations at high magnetic fields in the harmonic honeycomb iridates journal August 2017
Models and materials for generalized Kitaev magnetism journal November 2017
Phase Diagram and Quantum Order by Disorder in the Kitaev K 1 K 2 Honeycomb Magnet journal December 2015
Kitaev interactions between j = 1/2 moments in honeycomb Na 2 IrO 3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations journal January 2014
Evidence for a Field-Induced Quantum Spin Liquid in α - RuCl 3 journal July 2017
Spin dynamics of counterrotating Kitaev spirals via duality journal November 2016
Theory of magnetic phase diagrams in hyperhoneycomb and harmonic-honeycomb iridates journal February 2015
Unified theory of spiral magnetism in the harmonic-honeycomb iridates α , β , and γ Li 2 IrO 3 journal June 2015
Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in γ Li 2 IrO 3 journal November 2014
Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of α RuCl 3 journal December 2017
Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in Na 2 IrO 3 journal October 2014
Theory of discommensurations and the commensurate-incommensurate charge-density-wave phase transition journal August 1976
Commensurate phases, incommensurate phases and the devil's staircase journal June 1982
Entangled tetrahedron ground state and excitations of the magnetoelectric skyrmion material Cu 2 OSeO 3 journal October 2014
Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3 journal November 2016
Spin excitations in the skyrmion host Cu 2 OSeO 3 journal February 2016
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 journal July 2010
Three-dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite- D approximation journal November 2014
Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate journal June 2014
Heisenberg-Kitaev model on the hyperhoneycomb lattice journal January 2014
Configurations magnétiques. Méthode de fourier journal December 1961
The quantum nature of skyrmions and half-skyrmions in Cu2OSeO3 journal November 2014
Magnon spectrum of the helimagnetic insulator Cu2OSeO3 journal February 2016
Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets journal April 2017
Anyons in an exactly solved model and beyond journal January 2006
Monoclinic crystal structure of α RuCl 3 and the zigzag antiferromagnetic ground state journal December 2015
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials journal March 2016
Kitaev-Heisenberg model in a magnetic field: Order-by-disorder and commensurate-incommensurate transitions journal April 2017
Orbital Order and Fluctuations in Mott Insulators journal January 2005
The vicinity of hyper-honeycomb β-Li2IrO3 to a three-dimensional Kitaev spin liquid state null January 2016
Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections journal March 2018
Hyperhoneycomb Iridate β Li 2 IrO 3 as a Platform for Kitaev Magnetism journal February 2015
Numerical technique for integration of the Landau–Lifshitz equation journal June 2001
Method for Determining Ground-State Spin Configurations journal December 1960
Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit journal February 2014
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
Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3 journal March 2012
Spontaneous skyrmion ground states in magnetic metals journal August 2006
The vicinity of hyper-honeycomb β-Li2IrO3 to a three-dimensional Kitaev spin liquid state journal July 2016
Neutron scattering signatures of the 3D hyperhoneycomb Kitaev quantum spin liquid journal November 2015
Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices journal January 2014
The Luttinger-Tisza method journal October 1974
Kitaev anisotropy induces mesoscopic Z 2 vortex crystals in frustrated hexagonal antiferromagnets journal March 2016
Establishing the Fundamental Magnetic Interactions in the Chiral Skyrmionic Mott Insulator Cu 2 OSeO 3 by Terahertz Electron Spin Resonance journal October 2014
Probing Spinon Nodal Structures in Three-Dimensional Kitaev Spin Liquids journal August 2017
Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na 2 IrO 3 journal August 2010
Helimagnons in a chiral ground state of the pyrochlore antiferromagnets journal February 2013
Majorana spectroscopy of three-dimensional Kitaev spin liquids journal June 2016
Crystalline liquids: the blue phases journal April 1989
Correlated states in β-Li2IrO3 driven by applied magnetic fields journal October 2017
Two iridates, two models, and two approaches: A comparative study on magnetism in three-dimensional honeycomb materials journal May 2016
Spin ordering in three-dimensional crystals with strong competing exchange interactions journal September 2007
Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid journal December 2016
Spin-reorientation transitions in the Cairo pentagonal magnet Bi 4 Fe 5 O 13 F journal September 2017
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models journal January 2009
Long-range magnetic ordering in Na 2 IrO 3 journal June 2011
Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals journal December 2016
Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A 2 IrO 3 journal July 2015
Phase diagrams of systems exhibiting incommensurate structures journal November 1985
Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections text January 2018
Majorana spectroscopy of three-dimensional Kitaev spin liquids text January 2016
Exactly solvable Kitaev model in three dimensions text January 2008
Helimagnons in a chiral ground state of the pyrochlore antiferromagnets text January 2012
Correlated quantum phenomena in the strong spin-orbit regime text January 2013
Heisenberg-Kitaev model on hyperhoneycomb lattice text January 2013
Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation text January 2013
Generic spin model for the honeycomb iridates beyond the Kitaev limit text January 2013
Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations text January 2013
Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates text January 2014
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials text January 2015
Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid text January 2015
Magnon spectrum of the helimagnetic insulator Cu2OSeO3 text January 2015
Spin dynamics of counterrotating Kitaev spirals via duality text January 2016
Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals text January 2016
Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions text January 2016
Probing spinon nodal structures in three-dimensional Kitaev spin liquids text January 2017
Models and Materials for Generalized Kitaev Magnetism text January 2017
Anyons in an exactly solved model and beyond text January 2005

Cited By (3)


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