Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α–RuCl3

Jiang, Yi-Fan; Devereaux, Thomas P.; Jiang, Hong-Chen

doi:10.1103/physrevb.100.165123

Title: Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $α – {RuCl}_{3}$

Abstract

Recently considerable excitement has arisen due to the experimental observation of a field-induced spin liquid phase in the compound α– RuCl₃. Yet, the nature of this putative spin liquid phase and the relevant microscopic model Hamiltonian remain still unclear. In this work, we address these questions by performing large-scale numerical simulations of a generalized Kitaev-Heisenberg model proposed to describe the physics of α– RuCl₃. Although an intermediate phase does not appear for in-plane magnetic fields, our results strongly suggest that a stable intermediate spin liquid phase, sandwiched between a magnetically ordered phase at low fields and a high-field polarized phase, can be induced by out-of-plane magnetic fields. Moreover, we show that this field-induced spin liquid phase can be smoothly connected to a spin liquid possessing a spinon Fermi surface as proposed recently for the Kitaev model. The relevance of our findings to α– RuCl₃ is also discussed.

Authors:

^[1]; Devereaux, Thomas P. ^[1]; Jiang, Hong-Chen ^[1]

SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)

Publication Date:: 2019-10-15

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1574854

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 100; Journal Issue: 16; 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

Citation Formats


                    Jiang, Yi-Fan, Devereaux, Thomas P., and Jiang, Hong-Chen. Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α–RuCl3.  United States: N. p., 2019. 
Web.  doi:10.1103/physrevb.100.165123.

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                    Jiang, Yi-Fan, Devereaux, Thomas P., & Jiang, Hong-Chen. Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α–RuCl3.  United States.  https://doi.org/10.1103/physrevb.100.165123

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                    Jiang, Yi-Fan, Devereaux, Thomas P., and Jiang, Hong-Chen. Tue .  
"Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α–RuCl3".  United States.  https://doi.org/10.1103/physrevb.100.165123.  https://www.osti.gov/servlets/purl/1574854.

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@article{osti_1574854,

  title        = {Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α–RuCl3},

  author       = {Jiang, Yi-Fan and Devereaux, Thomas P. and Jiang, Hong-Chen},

  abstractNote = {Recently considerable excitement has arisen due to the experimental observation of a field-induced spin liquid phase in the compound α– RuCl3. Yet, the nature of this putative spin liquid phase and the relevant microscopic model Hamiltonian remain still unclear. In this work, we address these questions by performing large-scale numerical simulations of a generalized Kitaev-Heisenberg model proposed to describe the physics of α– RuCl3. Although an intermediate phase does not appear for in-plane magnetic fields, our results strongly suggest that a stable intermediate spin liquid phase, sandwiched between a magnetically ordered phase at low fields and a high-field polarized phase, can be induced by out-of-plane magnetic fields. Moreover, we show that this field-induced spin liquid phase can be smoothly connected to a spin liquid possessing a spinon Fermi surface as proposed recently for the Kitaev model. The relevance of our findings to α– RuCl3 is also discussed.},

  doi          = {10.1103/physrevb.100.165123},

  journal      = {Physical Review B},

  number       = 16,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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FIG. 1: (a) Honeycomb cylinder with periodic and open boundary conditions along the directions specified by the lattice basis vectors, e₂ and e₁, respectively. L_x and L_y are the number of unit cells in the e₁ and e₂ directions. Bond directions γ = x, y, z are labeled by differentmore »

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Works referencing / citing this record:

Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface
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Patel, Niravkumar D.; Trivedi, Nandini
Proceedings of the National Academy of Sciences, Vol. 116, Issue 25
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Patel, Niravkumar D.; Trivedi, Nandini
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DOI: 10.48550/arxiv.1812.06105

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Title: Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to α – RuCl 3

Abstract

Citation Formats

Figures / Tables:

Field-induced quantum criticality in the Kitaev system α − RuCl 3 journal, July 2017

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

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

Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model journal, January 2019

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

Observation of two types of fractional excitation in the Kitaev honeycomb magnet journal, May 2018

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model journal, July 2014

Evidence for a Field-Induced Quantum Spin Liquid in α - RuCl 3 journal, July 2017

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

Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface journal, May 2019

Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects journal, January 2017

Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of α − RuCl 3 journal, December 2017

Scattering Continuum and Possible Fractionalized Excitations in α − RuCl 3 journal, April 2015

Ultralow-Temperature Thermal Conductivity of the Kitaev Honeycomb Magnet α − RuCl 3 across the Field-Induced Phase Transition journal, February 2018

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

Unveiling magnetic interactions of ruthenium trichloride via constraining direction of orbital moments: Potential routes to realize a quantum spin liquid journal, August 2017

Density matrix formulation for quantum renormalization groups journal, November 1992

Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3 journal, November 2016

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

Crystal structure and magnetism in α − RuCl 3 : An ab initio study journal, April 2016

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms journal, November 2014

Possible proximity of the Mott insulating iridate Na 2 IrO 3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field journal, June 2011

Theoretical investigation of magnetic dynamics in α − RuCl 3 journal, September 2017

Strain- and pressure-tuned magnetic interactions in honeycomb Kitaev materials journal, September 2018

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

Spin liquids in frustrated magnets journal, March 2010

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

Dynamics of the Kitaev-Heisenberg Model journal, October 2017

Neutron scattering in the proximate quantum spin liquid α-RuCl 3 journal, June 2017

Unusual Phonon Heat Transport in α − RuCl 3 : Strong Spin-Phonon Scattering and Field-Induced Spin Gap journal, March 2018

The half-filled Landau level: The case for Dirac composite fermions journal, April 2016

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

Spin Waves and Revised Crystal Structure of Honeycomb Iridate Na 2 IrO 3 journal, March 2012

Kitaev magnetism in honeycomb RuCl 3 with intermediate spin-orbit coupling journal, June 2015

Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field journal, June 2018

Recent progress on correlated electron systems with strong spin–orbit coupling journal, August 2016

Anomalous Thermal Conductivity and Magnetic Torque Response in the Honeycomb Magnet α − RuCl 3 journal, May 2017

Non-Abelian anyons and topological quantum computation journal, September 2008

Resonating valence bonds: A new kind of insulator? journal, February 1973

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

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

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons journal, December 2012

Entanglement entropy and quantum field theory journal, June 2004

Theory of the field-revealed Kitaev spin liquid journal, June 2019

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

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

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α − RuCl 3 journal, March 2017

Observation of two types of fractional excitation in the Kitaev honeycomb magnet text, January 2018

Non-Abelian Anyons and Topological Quantum Computation text, January 2007

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons text, January 2012

Correlated quantum phenomena in the strong spin-orbit regime text, January 2013

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model text, January 2014

Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials text, January 2015

The half-filled Landau level: the case for Dirac composite fermions text, January 2015

Recent progress on correlated electron systems with strong spin-orbit coupling text, January 2015

Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales text, January 2016

Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals text, January 2016

Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface text, January 2018

Anyons in an exactly solved model and beyond text, January 2005

Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface journal, May 2019

Kitaev honeycomb models in magnetic fields: Dynamical response and dual models journal, October 2019

Magnetic field induced competing phases in spin-orbital entangled Kitaev magnets journal, January 2020

Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface text, January 2018

Title: Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $α – {RuCl}_{3}$

Field-induced quantum criticality in the Kitaev system $α - {RuCl}_{3}$
journal, July 2017

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

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

Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model
journal, January 2019

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

Observation of two types of fractional excitation in the Kitaev honeycomb magnet
journal, May 2018

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
journal, July 2014

Evidence for a Field-Induced Quantum Spin Liquid in $α$ - ${RuCl}_{3}$
journal, July 2017

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

Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface
journal, May 2019

Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
journal, January 2017

Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of $α − {RuCl}_{3}$
journal, December 2017

Scattering Continuum and Possible Fractionalized Excitations in $α − {RuCl}_{3}$
journal, April 2015

Ultralow-Temperature Thermal Conductivity of the Kitaev Honeycomb Magnet $α − {RuCl}_{3}$ across the Field-Induced Phase Transition
journal, February 2018

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

Unveiling magnetic interactions of ruthenium trichloride via constraining direction of orbital moments: Potential routes to realize a quantum spin liquid
journal, August 2017

Density matrix formulation for quantum renormalization groups
journal, November 1992

Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3
journal, November 2016

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

Crystal structure and magnetism in $α - {RuCl}_{3}$ : An ab initio study
journal, April 2016

Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
journal, November 2014

Possible proximity of the Mott insulating iridate Na $_{2}$ IrO $_{3}$ to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
journal, June 2011

Theoretical investigation of magnetic dynamics in $α - {RuCl}_{3}$
journal, September 2017

Strain- and pressure-tuned magnetic interactions in honeycomb Kitaev materials
journal, September 2018

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

Spin liquids in frustrated magnets
journal, March 2010

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

Dynamics of the Kitaev-Heisenberg Model
journal, October 2017

Neutron scattering in the proximate quantum spin liquid α-RuCl ₃
journal, June 2017

Unusual Phonon Heat Transport in $α − {RuCl}_{3}$ : Strong Spin-Phonon Scattering and Field-Induced Spin Gap
journal, March 2018

The half-filled Landau level: The case for Dirac composite fermions
journal, April 2016

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

Spin Waves and Revised Crystal Structure of Honeycomb Iridate ${Na}_{2} {IrO}_{3}$
journal, March 2012

Kitaev magnetism in honeycomb ${RuCl}_{3}$ with intermediate spin-orbit coupling
journal, June 2015

Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field
journal, June 2018

Recent progress on correlated electron systems with strong spin–orbit coupling
journal, August 2016

Anomalous Thermal Conductivity and Magnetic Torque Response in the Honeycomb Magnet $α − {RuCl}_{3}$
journal, May 2017

Non-Abelian anyons and topological quantum computation
journal, September 2008

Resonating valence bonds: A new kind of insulator?
journal, February 1973

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

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

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
journal, December 2012

Entanglement entropy and quantum field theory
journal, June 2004

Theory of the field-revealed Kitaev spin liquid
journal, June 2019

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

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

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline $α − {RuCl}_{3}$
journal, March 2017

Observation of two types of fractional excitation in the Kitaev honeycomb magnet
text, January 2018

Non-Abelian Anyons and Topological Quantum Computation
text, January 2007

Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
text, January 2012

Correlated quantum phenomena in the strong spin-orbit regime
text, January 2013

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
text, January 2014

Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
text, January 2015

The half-filled Landau level: the case for Dirac composite fermions
text, January 2015

Recent progress on correlated electron systems with strong spin-orbit coupling
text, January 2015

Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
text, January 2016

Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
text, January 2016

Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
text, January 2018

Anyons in an exactly solved model and beyond
text, January 2005

Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface
journal, May 2019

Kitaev honeycomb models in magnetic fields: Dynamical response and dual models
journal, October 2019

Magnetic field induced competing phases in spin-orbital entangled Kitaev magnets
journal, January 2020

Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
text, January 2018