Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3

Balz, Christian; Janssen, Lukas; Lampen-Kelley, Paige; Banerjee, Arnab; Liu, Yaohua; Yan, Jiaqiang; Mandrus, David; Vojta, Matthias; Nagler, Stephen

doi:10.1103/physrevb.103.174417

Title: Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl₃

Abstract

In α-RuCl₃, an external magnetic field applied within the honeycomb plane can induce a transition from a magnetically ordered state to a disordered state that is potentially related to the Kitaev quantum spin liquid. In zero field, single crystals with minimal stacking faults display a low-temperature state with in-plane zigzag antiferromagnetic order and a three-layer periodicity in the direction perpendicular to the honeycomb planes. In this work, we present angle-dependent magnetization, ac susceptibility, and thermal transport data that demonstrate the presence of an additional intermediate-field ordered state at fields below the transition to the disordered phase. Neutron-diffraction results show that the magnetic structure in this phase is characterized by a six-layer periodicity in the direction perpendicular to the honeycomb planes. Theoretically, the intermediate ordered phase can be accounted for by including spin-anisotropic couplings between the layers in a three-dimensional spin model. Together, this demonstrates the importance of interlayer exchange interactions in α-RuCl₃.

Authors:

Balz, Christian ^[1];

^[2]; Lampen-Kelley, Paige ^[3];

^[4];

^[5];

^[5]; Mandrus, David ^[3]; Vojta, Matthias ^[2];

^[5]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Rutherford Appleton Laboratory, Didcot (United Kingdom)
Dresden Univ. of Technology (Germany)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Purdue Univ., West Lafayette, IN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Thu May 13 00:00:00 EDT 2021

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; German Research Foundation (DFG); Gordon and Betty Moore Foundation

OSTI Identifier:: 1785194

Grant/Contract Number:: AC05-00OR22725; GBMF4416; SFB 1143; EXC 2147; JA2306/4-1

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 103; Journal Issue: 17; 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; frustrated magnetism; magnetism; quantum spin liquid; honeycomb lattice; neutron diffraction; susceptibility measurements

Citation Formats


                    Balz, Christian, Janssen, Lukas, Lampen-Kelley, Paige, Banerjee, Arnab, Liu, Yaohua, Yan, Jiaqiang, Mandrus, David, Vojta, Matthias, and Nagler, Stephen. Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevb.103.174417.

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                    Balz, Christian, Janssen, Lukas, Lampen-Kelley, Paige, Banerjee, Arnab, Liu, Yaohua, Yan, Jiaqiang, Mandrus, David, Vojta, Matthias, & Nagler, Stephen. Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3.  United States.  https://doi.org/10.1103/physrevb.103.174417

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                    Balz, Christian, Janssen, Lukas, Lampen-Kelley, Paige, Banerjee, Arnab, Liu, Yaohua, Yan, Jiaqiang, Mandrus, David, Vojta, Matthias, and Nagler, Stephen. Thu .  
"Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3".  United States.  https://doi.org/10.1103/physrevb.103.174417.  https://www.osti.gov/servlets/purl/1785194.

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@article{osti_1785194,

  title        = {Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3},

  author       = {Balz, Christian and Janssen, Lukas and Lampen-Kelley, Paige and Banerjee, Arnab and Liu, Yaohua and Yan, Jiaqiang and Mandrus, David and Vojta, Matthias and Nagler, Stephen},

  abstractNote = {In α-RuCl3, an external magnetic field applied within the honeycomb plane can induce a transition from a magnetically ordered state to a disordered state that is potentially related to the Kitaev quantum spin liquid. In zero field, single crystals with minimal stacking faults display a low-temperature state with in-plane zigzag antiferromagnetic order and a three-layer periodicity in the direction perpendicular to the honeycomb planes. In this work, we present angle-dependent magnetization, ac susceptibility, and thermal transport data that demonstrate the presence of an additional intermediate-field ordered state at fields below the transition to the disordered phase. Neutron-diffraction results show that the magnetic structure in this phase is characterized by a six-layer periodicity in the direction perpendicular to the honeycomb planes. Theoretically, the intermediate ordered phase can be accounted for by including spin-anisotropic couplings between the layers in a three-dimensional spin model. Together, this demonstrates the importance of interlayer exchange interactions in α-RuCl3.},

  doi          = {10.1103/physrevb.103.174417},

  journal      = {Physical Review B},

  number       = 17,

  volume       = 103,

  place        = {United States},

  year         = {Thu May 13 00:00:00 EDT 2021},

  month        = {Thu May 13 00:00:00 EDT 2021}

}

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Title: Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl3

Abstract

Citation Formats

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

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

Rethinking α − RuCl 3 journal, July 2020

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

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

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

Mantid—Data analysis and visualization package for neutron scattering and μ SR experiments journal, November 2014

Angle-dependent thermodynamics of α − Ru Cl 3 journal, February 2021

Anisotropic susceptibilities in the honeycomb Kitaev system α − RuCl 3 journal, September 2018

Dynamics of the Kitaev-Heisenberg Model journal, October 2017

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

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

Excitations in the field-induced quantum spin liquid state of α-RuCl3 journal, February 2018

Finite field regime for a quantum spin liquid in α − RuCl 3 journal, August 2019

Phase diagram of α − RuCl 3 in an in-plane magnetic field journal, May 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

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

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

Magnon bound states versus anyonic Majorana excitations in the Kitaev honeycomb magnet α-RuCl3 journal, March 2020

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

Thermal and magnetoelastic properties of α − RuCl 3 in the field-induced low-temperature states journal, December 2020

Corelli: Efficient single crystal diffraction with elastic discrimination journal, October 2008

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

Nature of Magnetic Excitations in the High-Field Phase of α − RuCl 3 journal, July 2020

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

Kitaev-Heisenberg- J 2 - J 3 model for the iridates A 2 IrO 3 journal, November 2011

Relation between Kitaev magnetism and structure in α − RuCl 3 journal, May 2017

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

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

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

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

Magnetic Excitations and Continuum of a Possibly Field-Induced Quantum Spin Liquid in α − RuCl 3 journal, November 2017

Magnon dispersion and dynamic spin response in three-dimensional spin models for α − RuCl 3 journal, May 2020

Thermodynamic Perspective on Field-Induced Behavior of α − RuCl 3 journal, August 2020

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

Field-induced transitions in the Kitaev material α − RuCl 3 probed by thermal expansion and magnetostriction journal, June 2020

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

Sign Structure of Thermal Hall Conductivity and Topological Magnons for In-Plane Field Polarized Kitaev Magnets journal, April 2021

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Title: Field-induced intermediate ordered phase and anisotropic interlayer interactions in α-RuCl₃

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

Zigzag Magnetic Order in the Iridium Oxide ${Na}_{2} {IrO}_{3}$
journal, February 2013

Rethinking $α − {RuCl}_{3}$
journal, July 2020

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

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

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

Mantid—Data analysis and visualization package for neutron scattering and $μ$ SR experiments
journal, November 2014

Angle-dependent thermodynamics of $α − Ru {Cl}_{3}$
journal, February 2021

Anisotropic susceptibilities in the honeycomb Kitaev system $α - {RuCl}_{3}$
journal, September 2018

Dynamics of the Kitaev-Heisenberg Model
journal, October 2017

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

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

Excitations in the field-induced quantum spin liquid state of α-RuCl3
journal, February 2018

Finite field regime for a quantum spin liquid in $α − {RuCl}_{3}$
journal, August 2019

Phase diagram of $α - {RuCl}_{3}$ in an in-plane magnetic field
journal, May 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

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

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

Magnon bound states versus anyonic Majorana excitations in the Kitaev honeycomb magnet α-RuCl3
journal, March 2020

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

Thermal and magnetoelastic properties of $α - {RuCl}_{3}$ in the field-induced low-temperature states
journal, December 2020

Corelli: Efficient single crystal diffraction with elastic discrimination
journal, October 2008

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

Nature of Magnetic Excitations in the High-Field Phase of $α − {RuCl}_{3}$
journal, July 2020

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

Kitaev-Heisenberg- $J_{2}$ - $J_{3}$ model for the iridates $A_{2}$ IrO $_{3}$
journal, November 2011

Relation between Kitaev magnetism and structure in $α - {RuCl}_{3}$
journal, May 2017

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

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

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

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

Magnetic Excitations and Continuum of a Possibly Field-Induced Quantum Spin Liquid in $α − {RuCl}_{3}$
journal, November 2017

Magnon dispersion and dynamic spin response in three-dimensional spin models for $α − {RuCl}_{3}$
journal, May 2020

Thermodynamic Perspective on Field-Induced Behavior of $α − {RuCl}_{3}$
journal, August 2020

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

Field-induced transitions in the Kitaev material $α - {RuCl}_{3}$ probed by thermal expansion and magnetostriction
journal, June 2020

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

Sign Structure of Thermal Hall Conductivity and Topological Magnons for In-Plane Field Polarized Kitaev Magnets
journal, April 2021

High-field quantum disordered state in $α - {RuCl}_{3}$ : Spin flips, bound states, and multiparticle continuum
journal, April 2020

Effective model with strong Kitaev interactions for $α − {RuCl}_{3}$
journal, April 2018