Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice

Smit, R. L.; Keupert, S.; Tsyplyatyev, O.; Maksimov, P. A.; Chernyshev, Alexander L.; Kopietz, P.

doi:10.1103/PhysRevB.101.054424

Title: Magnon damping in the zigzag phase of the Kitaev-Heisenberg- $Γ$ model on a honeycomb lattice

Abstract

We calculate dispersions and damping of the magnetic excitations in the model that is relevant to a description of the magnetic properties of iridium oxides α-Li₂IrO₃ and Na₂IrO₃, and Ru-based materials such as α-RuCl₃. Focusing on the parameter regime with the zigzag spin pattern in the ground state that is consistent with experiments, we are able to obtain explicit analytical expressions for magnon energies and eigenstates and go beyond the standard linear spin-wave theory approximation by calculating magnon damping and demonstrating its role in the dynamical structure factor. Here, we show that the magnon damping effects in both Born and self-consistent approximations are very significant, underscoring the importance of nonlinear magnon coupling in interpreting broad features in the neutron-scattering spectra.

Authors:

^[1];

^[1]; Tsyplyatyev, O. ^[1];

^[2]; Chernyshev, Alexander L. ^[3]; Kopietz, P. ^[1]

Univ. Frankfurt (Germany)
Univ. of California, Irvine, CA (United States); Joint Inst. for Nuclear Research, Moscow (Russia)
Univ. of California, Irvine, CA (United States)

Publication Date:: Tue Feb 18 00:00:00 EST 2020

Research Org.:: Univ. of California, Irvine, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); USDOE

OSTI Identifier:: 1635666

Alternate Identifier(s):: OSTI ID: 1600064

Grant/Contract Number:: FG02-04ER46174; PHY-1607611; PHY-1748958

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 101; Journal Issue: 5; 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; lifetimes & widths; magnetism; magnons; methods in magnetism; honeycomb lattice; iridates; ruthenates; Feynman diagrams; Holstein-Primakoff method; Kitaev-Heisenberg model; second quantization; spin lattice models

Citation Formats


                    Smit, R. L., Keupert, S., Tsyplyatyev, O., Maksimov, P. A., Chernyshev, Alexander L., and Kopietz, P. Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevB.101.054424.

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                    Smit, R. L., Keupert, S., Tsyplyatyev, O., Maksimov, P. A., Chernyshev, Alexander L., & Kopietz, P. Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice.  United States.  https://doi.org/10.1103/PhysRevB.101.054424

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                    Smit, R. L., Keupert, S., Tsyplyatyev, O., Maksimov, P. A., Chernyshev, Alexander L., and Kopietz, P. Tue .  
"Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice".  United States.  https://doi.org/10.1103/PhysRevB.101.054424.  https://www.osti.gov/servlets/purl/1635666.

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@article{osti_1635666,

  title        = {Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice},

  author       = {Smit, R. L. and Keupert, S. and Tsyplyatyev, O. and Maksimov, P. A. and Chernyshev, Alexander L. and Kopietz, P.},

  abstractNote = {We calculate dispersions and damping of the magnetic excitations in the model that is relevant to a description of the magnetic properties of iridium oxides α-Li2IrO3 and Na2IrO3, and Ru-based materials such as α-RuCl3. Focusing on the parameter regime with the zigzag spin pattern in the ground state that is consistent with experiments, we are able to obtain explicit analytical expressions for magnon energies and eigenstates and go beyond the standard linear spin-wave theory approximation by calculating magnon damping and demonstrating its role in the dynamical structure factor. Here, we show that the magnon damping effects in both Born and self-consistent approximations are very significant, underscoring the importance of nonlinear magnon coupling in interpreting broad features in the neutron-scattering spectra.},

  doi          = {10.1103/PhysRevB.101.054424},

  journal      = {Physical Review B},

  number       = 5,

  volume       = 101,

  place        = {United States},

  year         = {Tue Feb 18 00:00:00 EST 2020},

  month        = {Tue Feb 18 00:00:00 EST 2020}

}

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DOI: 10.1088/0034-4885/79/9/094504

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

Kimchi, Itamar; Vishwanath, Ashvin
Physical Review B, Vol. 89, Issue 1
DOI: 10.1103/PhysRevB.89.014414

Avoided quasiparticle decay from strong quantum interactions
journal, May 2019

Verresen, Ruben; Moessner, Roderich; Pollmann, Frank
Nature Physics, Vol. 15, Issue 8
DOI: 10.1038/s41567-019-0535-3

Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $α − {RuCl}_{3}$ and ${Na}_{2} {IrO}_{3}$
journal, August 2017

Janssen, Lukas; Andrade, Eric C.; Vojta, Matthias
Physical Review B, Vol. 96, Issue 6
DOI: 10.1103/PhysRevB.96.064430

Dynamical structure factor of quasi-two-dimensional antiferromagnet in high fields
journal, May 2012

Fuhrman, W. T.; Mourigal, M.; Zhitomirsky, M. E.
Physical Review B, Vol. 85, Issue 18
DOI: 10.1103/PhysRevB.85.184405

Magnetic orders proximal to the Kitaev limit in frustrated triangular systems: Application to ${Ba}_{3} {IrTi}_{2} O_{9}$
journal, October 2015

Catuneanu, Andrei; Rau, Jeffrey G.; Kim, Heung-Sik
Physical Review B, Vol. 92, Issue 16
DOI: 10.1103/PhysRevB.92.165108

Brillouin light scattering spectroscopy of parametrically excited dipole-exchange magnons
journal, October 2012

Serga, A. A.; Sandweg, C. W.; Vasyuchka, V. I.
Physical Review B, Vol. 86, Issue 13
DOI: 10.1103/PhysRevB.86.134403

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Title: Magnon damping in the zigzag phase of the Kitaev-Heisenberg- Γ model on a honeycomb lattice

Abstract

Citation Formats

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

Probing Anomalous Longitudinal Fluctuations of the Interacting Bose Gas via Bose-Einstein Condensation of Magnons journal, February 2007

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

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales journal, June 2016

Theory of triplon dynamics in the quantum magnet BiCu 2 PO 6 journal, June 2016

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

Instability of magnons in two-dimensional antiferromagnets at high magnetic fields journal, March 2010

Spectral-edge mode in interacting one-dimensional systems journal, July 2014

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

Models and materials for generalized Kitaev magnetism journal, November 2017

Magnon Decay in Gapped Quantum Spin Systems journal, March 2006

Probing α − RuCl 3 Beyond Magnetic Order: Effects of Temperature and Magnetic Field journal, February 2018

Selection of direction of the ordered moments in Na 2 IrO 3 and α − RuCl 3 journal, August 2016

One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm journal, September 2012

Dynamics of a quantum spin liquid beyond integrability: The Kitaev-Heisenberg- Γ model in an augmented parton mean-field theory journal, April 2018

Singular spin-wave theory and scattering continua in the cone state of Cs 2 CuCl 4 journal, August 2014

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

Magnon Decay in Noncollinear Quantum Antiferromagnets journal, November 2006

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

Spin-wave interactions in quantum antiferromagnets journal, June 2006

Universal Theory of Nonlinear Luttinger Liquids journal, January 2009

Magnetic properties of a metal-organic antiferromagnet on a distorted honeycomb lattice journal, November 2005

Quantum spin liquid signatures in Kitaev-like frustrated magnets journal, February 2018

Quasiparticle breakdown in a quantum spin liquid journal, March 2006

Persistent Spin Currents in Mesoscopic Heisenberg Rings journal, July 2003

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

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

Spin liquids in frustrated magnets journal, March 2010

Topography of Spin Liquids on a Triangular Lattice journal, May 2018

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

Bond-Disordered Spin Liquid and the Honeycomb Iridate H 3 LiIr 2 O 6 : Abundant Low-Energy Density of States from Random Majorana Hopping journal, February 2019

Spontaneous decays of magneto-elastic excitations in non-collinear antiferromagnet (Y,Lu)MnO3 journal, October 2016

Orbital Order and Fluctuations in Mott Insulators journal, January 2005

Decay of quasiparticles in quantum spin liquids journal, March 2006

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

Colloquium : Spontaneous magnon decays journal, January 2013

Diagonalization of the quadratic boson hamiltonian journal, September 1978

Magnetic anisotropy in the Kitaev model systems Na 2 IrO 3 and RuCl 3 journal, August 2016

Many-Particle Physics book, January 1990

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

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

Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na 2 IrO 3 journal, August 2010

Quantum spin liquid at finite temperature: Proximate dynamics and persistent typicality journal, July 2019

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering journal, May 2019

Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit journal, June 2019

Field-induced decay dynamics in square-lattice antiferromagnets journal, October 2010

Quasiparticle-continuum level repulsion in a quantum magnet journal, November 2015

Nature of the many-body excitations in a quantum wire: Theory and experiment journal, February 2016

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

Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A 2 IrO 3 journal, July 2015

Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet journal, May 2017

Correlated Quantum Phenomena in the Strong Spin-Orbit Regime journal, March 2014

Instability of Antiferromagnetic Magnons in Strong Fields journal, May 1999

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

On the Bogoliubov transformation for quadratic boson observables journal, November 1993

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

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

Spin- S Kitaev model: Classical ground states, order from disorder, and exact correlation functions journal, September 2008

Field-induced decays in XXZ triangular-lattice antiferromagnets journal, October 2016

Unified theory of spiral magnetism in the harmonic-honeycomb iridates α , β , and γ Li 2 IrO 3 journal, June 2015

Topological magnons in Kitaev magnets at high fields journal, August 2018

Semiclassical ground-state phase diagram and multi- Q phase of a spin-orbit-coupled model on triangular lattice journal, November 2016

Specific Heat Study of 1D and 2D Excitations in the Layered Frustrated Quantum Antiferromagnets Cs 2 CuCl 4 − x Br x journal, October 2019

Majorana spin liquid and dimensional reduction in Cs 2 CuCl 4 journal, November 2013

Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs 2 CuCl 4 journal, July 2011

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

Strong quantum effects in an almost classical antiferromagnet on a kagome lattice journal, September 2015

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

Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 journal, July 2010

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

Nonlinear spectra of spinons and holons in short GaAs quantum wires journal, September 2016

Raman Scattering Signatures of Kitaev Spin Liquids in A 2 IrO 3 Iridates with A = Na or Li journal, October 2014

Extreme sensitivity of a frustrated quantum magnet: Cs 2 Cu Cl 4 journal, July 2010

Damped Topological Magnons in the Kagome-Lattice Ferromagnets journal, October 2016

Quantum Heisenberg antiferromagnets in a uniform magnetic field: Nonanalytic magnetic field dependence of the magnon spectrum journal, July 2008

Hierarchy of Modes in an Interacting One-Dimensional System journal, May 2015

Title: Magnon damping in the zigzag phase of the Kitaev-Heisenberg- $Γ$ model on a honeycomb lattice

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

Probing Anomalous Longitudinal Fluctuations of the Interacting Bose Gas via Bose-Einstein Condensation of Magnons
journal, February 2007

Spin-orbit physics of $j = \frac{1}{2}$ Mott insulators on the triangular lattice
journal, April 2015

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
journal, June 2016

Theory of triplon dynamics in the quantum magnet ${BiCu}_{2} {PO}_{6}$
journal, June 2016

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

Instability of magnons in two-dimensional antiferromagnets at high magnetic fields
journal, March 2010

Spectral-edge mode in interacting one-dimensional systems
journal, July 2014

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

Models and materials for generalized Kitaev magnetism
journal, November 2017

Magnon Decay in Gapped Quantum Spin Systems
journal, March 2006

Probing $α - {RuCl}_{3}$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
journal, February 2018

Selection of direction of the ordered moments in ${Na}_{2} {IrO}_{3}$ and $α - {RuCl}_{3}$
journal, August 2016

One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
journal, September 2012

Dynamics of a quantum spin liquid beyond integrability: The Kitaev-Heisenberg- $Γ$ model in an augmented parton mean-field theory
journal, April 2018

Singular spin-wave theory and scattering continua in the cone state of ${Cs}_{2} {CuCl}_{4}$
journal, August 2014

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

Magnon Decay in Noncollinear Quantum Antiferromagnets
journal, November 2006

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

Spin-wave interactions in quantum antiferromagnets
journal, June 2006

Universal Theory of Nonlinear Luttinger Liquids
journal, January 2009

Magnetic properties of a metal-organic antiferromagnet on a distorted honeycomb lattice
journal, November 2005

Quantum spin liquid signatures in Kitaev-like frustrated magnets
journal, February 2018

Quasiparticle breakdown in a quantum spin liquid
journal, March 2006

Persistent Spin Currents in Mesoscopic Heisenberg Rings
journal, July 2003

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

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

Spin liquids in frustrated magnets
journal, March 2010

Topography of Spin Liquids on a Triangular Lattice
journal, May 2018

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

Bond-Disordered Spin Liquid and the Honeycomb Iridate $H_{3} {LiIr}_{2} O_{6}$ : Abundant Low-Energy Density of States from Random Majorana Hopping
journal, February 2019

Spontaneous decays of magneto-elastic excitations in non-collinear antiferromagnet (Y,Lu)MnO3
journal, October 2016

Orbital Order and Fluctuations in Mott Insulators
journal, January 2005

Decay of quasiparticles in quantum spin liquids
journal, March 2006

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

Colloquium : Spontaneous magnon decays
journal, January 2013

Diagonalization of the quadratic boson hamiltonian
journal, September 1978

Magnetic anisotropy in the Kitaev model systems ${Na}_{2} {IrO}_{3}$ and ${RuCl}_{3}$
journal, August 2016

Many-Particle Physics
book, January 1990

Kitaev anisotropy induces mesoscopic $Z_{2}$ vortex crystals in frustrated hexagonal antiferromagnets
journal, March 2016

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

Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material ${Na}_{2} {IrO}_{3}$
journal, August 2010

Quantum spin liquid at finite temperature: Proximate dynamics and persistent typicality
journal, July 2019

Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
journal, May 2019

Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
journal, June 2019

Field-induced decay dynamics in square-lattice antiferromagnets
journal, October 2010

Quasiparticle-continuum level repulsion in a quantum magnet
journal, November 2015

Nature of the many-body excitations in a quantum wire: Theory and experiment
journal, February 2016

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

Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates $A_{2} {IrO}_{3}$
journal, July 2015

Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet
journal, May 2017

Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
journal, March 2014

Instability of Antiferromagnetic Magnons in Strong Fields
journal, May 1999

Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $β − {Li}_{2} {IrO}_{3}$
journal, March 2018

On the Bogoliubov transformation for quadratic boson observables
journal, November 1993

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

Phase Diagram and Quantum Order by Disorder in the Kitaev $K_{1} - K_{2}$ Honeycomb Magnet
journal, December 2015

Spin- $S$ Kitaev model: Classical ground states, order from disorder, and exact correlation functions
journal, September 2008

Field-induced decays in XXZ triangular-lattice antiferromagnets
journal, October 2016

Unified theory of spiral magnetism in the harmonic-honeycomb iridates $α, β$ , and $γ {Li}_{2} {IrO}_{3}$
journal, June 2015

Topological magnons in Kitaev magnets at high fields
journal, August 2018

Semiclassical ground-state phase diagram and $multi- Q$ phase of a spin-orbit-coupled model on triangular lattice
journal, November 2016

Specific Heat Study of 1D and 2D Excitations in the Layered Frustrated Quantum Antiferromagnets ${Cs}_{2} {CuCl}_{4 - x} {Br}_{x}$
journal, October 2019

Majorana spin liquid and dimensional reduction in Cs $_{2}$ CuCl $_{4}$
journal, November 2013

Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs $_{2}$ CuCl $_{4}$
journal, July 2011

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

Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
journal, September 2015

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

Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_{2} {IrO}_{3}$
journal, July 2010

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

Nonlinear spectra of spinons and holons in short GaAs quantum wires
journal, September 2016

Raman Scattering Signatures of Kitaev Spin Liquids in $A_{2} {IrO}_{3}$ Iridates with $A = Na$ or Li
journal, October 2014

Extreme sensitivity of a frustrated quantum magnet: ${Cs}_{2} Cu {Cl}_{4}$
journal, July 2010

Damped Topological Magnons in the Kagome-Lattice Ferromagnets
journal, October 2016

Quantum Heisenberg antiferromagnets in a uniform magnetic field: Nonanalytic magnetic field dependence of the magnon spectrum
journal, July 2008

Hierarchy of Modes in an Interacting One-Dimensional System
journal, May 2015

Concept and realization of Kitaev quantum spin liquids
journal, March 2019

Monoclinic crystal structure of $α - {RuCl}_{3}$ and the zigzag antiferromagnetic ground state
journal, December 2015