Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3

Clark, Lucy; Sala, Gabriele; Maharaj, Dalini D.; Stone, Matthew B.; Knight, Kevin S.; Telling, Mark T. F.; Wang, Xueyun; Xu, Xianghan; Kim, Jaewook; Li, Yanbin; Cheong, Sang -Wook; Gaulin, Bruce D.

doi:10.1038/s41567-018-0407-2

Title: Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO₃

Abstract

Spin liquid ground states are predicted to arise within several distinct scenarios in condensed matter physics. The observation of these disordered magnetic states is particularly pervasive among a class of materials known as frustrated magnets, in which the competition between various magnetic exchange interactions prevents the system from adopting long-range magnetic order at low temperatures. Spin liquids continue to be of great interest due to their exotic nature and the possibility that they may support fractionalized excitations, such as Majorana fermions. Systems that allow for such phenomena are not only fascinating from a fundamental perspective but may also be practically significant in future technologies based on quantum computation. Here we show that the underlying antiferromagnetic sublattice in TbInO₃ can undergo a crystal field-induced distortion of its buckled triangular arrangement to one based on a honeycomb. The absence of a conventional magnetic ordering transition at the lowest measurable temperatures indicates that another critical mechanism must govern in the ground-state selection of TbInO₃. Here, we suggest that anisotropic exchange interactions—mediated through strong spin–orbit coupling on the emergent honeycomb lattice of TbInO₃—give rise to a highly frustrated spin liquid.

Authors:

^[1];

^[2]; Maharaj, Dalini D. ^[3];

^[4]; Knight, Kevin S. ^[5]; Telling, Mark T. F. ^[6]; Wang, Xueyun ^[7]; Xu, Xianghan ^[7]; Kim, Jaewook ^[7]; Li, Yanbin ^[8]; Cheong, Sang -Wook ^[7]; Gaulin, Bruce D. ^[9]

Univ. of Liverpool, Liverpool (United Kingdom); McMaster Univ., Hamilton, ON (Canada)
McMaster Univ., Hamilton, ON (Canada); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
McMaster Univ., Hamilton, ON (Canada)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. College London, London (United Kingdom); Natural History Museum, London (United Kingdom); Rutherford Appleton Lab., Didcot (United Kingdom)
Rutherford Appleton Lab., Didcot (United Kingdom)
Rutgers Univ., Piscataway, NJ (United States)
Rutgers Univ., Piscataway, NJ (United States); Shandong Univ., Jinan (China)
McMaster Univ., Hamilton, ON (Canada); Brockhouse Institute for Materials Research, Hamilton, ON (Canada); Canadian Institute for Advanced Research, Toronto, ON (Canada)

Publication Date:: Mon Jan 21 00:00:00 EST 2019

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

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1509564

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Nature Physics

Additional Journal Information:: Journal Volume: 15; Journal Issue: 3; Journal ID: ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Clark, Lucy, Sala, Gabriele, Maharaj, Dalini D., Stone, Matthew B., Knight, Kevin S., Telling, Mark T. F., Wang, Xueyun, Xu, Xianghan, Kim, Jaewook, Li, Yanbin, Cheong, Sang -Wook, and Gaulin, Bruce D. Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3.  United States: N. p., 2019. 
Web.  doi:10.1038/s41567-018-0407-2.

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                    Clark, Lucy, Sala, Gabriele, Maharaj, Dalini D., Stone, Matthew B., Knight, Kevin S., Telling, Mark T. F., Wang, Xueyun, Xu, Xianghan, Kim, Jaewook, Li, Yanbin, Cheong, Sang -Wook, & Gaulin, Bruce D. Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3.  United States.  https://doi.org/10.1038/s41567-018-0407-2

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                    Clark, Lucy, Sala, Gabriele, Maharaj, Dalini D., Stone, Matthew B., Knight, Kevin S., Telling, Mark T. F., Wang, Xueyun, Xu, Xianghan, Kim, Jaewook, Li, Yanbin, Cheong, Sang -Wook, and Gaulin, Bruce D. Mon .  
"Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3".  United States.  https://doi.org/10.1038/s41567-018-0407-2.  https://www.osti.gov/servlets/purl/1509564.

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@article{osti_1509564,

  title        = {Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3},

  author       = {Clark, Lucy and Sala, Gabriele and Maharaj, Dalini D. and Stone, Matthew B. and Knight, Kevin S. and Telling, Mark T. F. and Wang, Xueyun and Xu, Xianghan and Kim, Jaewook and Li, Yanbin and Cheong, Sang -Wook and Gaulin, Bruce D.},

  abstractNote = {Spin liquid ground states are predicted to arise within several distinct scenarios in condensed matter physics. The observation of these disordered magnetic states is particularly pervasive among a class of materials known as frustrated magnets, in which the competition between various magnetic exchange interactions prevents the system from adopting long-range magnetic order at low temperatures. Spin liquids continue to be of great interest due to their exotic nature and the possibility that they may support fractionalized excitations, such as Majorana fermions. Systems that allow for such phenomena are not only fascinating from a fundamental perspective but may also be practically significant in future technologies based on quantum computation. Here we show that the underlying antiferromagnetic sublattice in TbInO3 can undergo a crystal field-induced distortion of its buckled triangular arrangement to one based on a honeycomb. The absence of a conventional magnetic ordering transition at the lowest measurable temperatures indicates that another critical mechanism must govern in the ground-state selection of TbInO3. Here, we suggest that anisotropic exchange interactions—mediated through strong spin–orbit coupling on the emergent honeycomb lattice of TbInO3—give rise to a highly frustrated spin liquid.},

  doi          = {10.1038/s41567-018-0407-2},

  journal      = {Nature Physics},

  number       = 3,

  volume       = 15,

  place        = {United States},

  year         = {Mon Jan 21 00:00:00 EST 2019},

  month        = {Mon Jan 21 00:00:00 EST 2019}

}

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Spin Correlations and Short‐Range Magnetic Order in the Honeycomb‐Layered Na ₂ Ni ₂ TeO ₆
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Title: Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO3

Abstract

Citation Formats

Order by Quantum Disorder in Er 2 Ti 2 O 7 journal, October 2012

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

Short-range order in the topological spin glass ( D 3 O ) Fe 3 ( SO 4 ) 2 ( OD ) 6 using xyz polarized neutron diffraction journal, August 2001

Dynamically Induced Frustration as a Route to a Quantum Spin Ice State in Tb 2 Ti 2 O 7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects journal, April 2007

1510058 null, January 2015

SEQUOIA: A Newly Operating Chopper Spectrometer at the SNS journal, November 2010

Quantum spin liquids: a review journal, November 2016

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet journal, April 2011

Neutron scattering studies of the cooperative paramagnet pyrochlore Tb 2 Ti 2 O 7 journal, November 2001

Muon-spin relaxation in Au Fe and Cu Mn spin glasses journal, January 1985

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

Cooperative Paramagnetism in the Geometrically Frustrated Pyrochlore Antiferromagnet Tb 2 Ti 2 O 7 journal, February 1999

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

Spin-liquid ground state in the frustrated J 1 − J 2 zigzag chain system BaTb 2 O 4 journal, July 2015

Disordered magnetism and spin glasses journal, May 1996

Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet journal, November 2015

Neutron scattering lengths and cross sections journal, January 1992

1610136 null, January 2016

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

ESR measurements of phosphorus dimers in isotopically enriched Si 28 silicon journal, June 2015

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation journal, September 2016

BaNi 2 V 2 O 8 : A two-dimensional honeycomb antiferromagnet journal, April 2002

Monte Carlo simulations of the spin- 1 / 2 Heisenberg antiferromagnet in two dimensions journal, March 1989

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

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data journal, November 2009

“Magnetic monopole” condensation of the pyrochlore ice U(1) quantum spin liquid: Application to Pr 2 Ir 2 O 7 and Yb 2 Ti 2 O 7 journal, November 2016

Magnetic properties of the layered nickel compounds BaNi2(PO4)2 and BaNi2(AsO4)2 journal, January 1980

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

TbInO3 Reduced neutron spectroscopy data from SNS on the CNCS and SEQUOIA Instruments dataset, January 2018

Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4 journal, December 2016

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

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

Antiferromagnetic spin ice correlations at ( 1 2 , 1 2 , 1 2 ) in the ground state of the pyrochlore magnet Tb 2 Ti 2 O 7 journal, March 2013

Kitaev materials beyond iridates: Order by quantum disorder and Weyl magnons in rare-earth double perovskites journal, February 2017

Quadrupole order in the frustrated pyrochlore magnet Tb 2 Ti 2 O 7 journal, February 2016

Stability and structure of noncentrosymmetric hexagonal LnInO3 (Ln = Eu, Gd, Tb, Dy, Ho, Y) journal, January 1976

Dirac's “magnetic monopoles” in pyrochlore ice U ( 1 ) spin liquids: Spectrum and classification journal, November 2017

Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na 2 IrO 3 journal, May 2012

Field dependence of μSR signals in a polycrystalline magnet journal, October 2007

Spin Ice State in Frustrated Magnetic Pyrochlore Materials journal, November 2001

Spin-orbit excitations and electronic structure of the putative Kitaev magnet α − RuCl 3 journal, February 2016

Crystal-field states of Pr 3 + in the candidate quantum spin ice Pr 2 Sn 2 O 7 journal, September 2013

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

Muon spin relaxation investigation of the spin dynamics of geometrically frustrated antiferromagnets Y 2 Mo 2 O 7 and Tb 2 Mo 2 O 7 journal, October 1996

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3 journal, May 2015

Long-range magnetic ordering in Na 2 IrO 3 journal, June 2011

Magnetic monopoles in spin ice journal, January 2008

Muon-spin relaxation measurements on the dimerized spin- 1 ∕ 2 chains Na Ti Si 2 O 6 and TiOCl journal, March 2007

Magnetic Monopoles in Spin Ice journal, January 2008

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models journal, December 1966

ESR measurements of phosphorus dimers in isotopically enriched 28Si silicon text, January 2014

Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet text, January 2015

Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4 text, January 2016

Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites text, January 2016

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

Spin Correlations and Short‐Range Magnetic Order in the Honeycomb‐Layered Na 2 Ni 2 TeO 6 journal, August 2019

REZnAl 11 O 19 (RE = Pr, Nd, Sm–Tb): a new family of ideal 2D triangular lattice frustrated magnets journal, January 2019

Heisenberg–Kitaev physics in magnetic fields journal, July 2019

Magnetism and spin-gap behaviour in the layered Pr 3 T 4 Al 12 ( T = Fe, Ru, Os) compounds with the distorted Kagomé lattice journal, December 2019

Absence of magnetic ordering in the spin liquid candidate Ca 3 Cu 2 GeV 2 O 12 journal, December 2019

Spin-liquid-like state in pure and Mn-doped TbInO 3 with a nearly triangular lattice journal, July 2019

Title: Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO₃

Order by Quantum Disorder in ${Er}_{2} {Ti}_{2} O_{7}$
journal, October 2012

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

Short-range order in the topological spin glass $(D_{3} O) {Fe}_{3} ({SO}_{4})_{2} (OD)_{6}$ using $xyz$ polarized neutron diffraction
journal, August 2001

Dynamically Induced Frustration as a Route to a Quantum Spin Ice State in ${Tb}_{2} {Ti}_{2} O_{7}$ via Virtual Crystal Field Excitations and Quantum Many-Body Effects
journal, April 2007

1510058
null, January 2015

SEQUOIA: A Newly Operating Chopper Spectrometer at the SNS
journal, November 2010

Quantum spin liquids: a review
journal, November 2016

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011

Neutron scattering studies of the cooperative paramagnet pyrochlore ${Tb}_{2} {Ti}_{2} O_{7}$
journal, November 2001

Muon-spin relaxation in Au Fe and Cu Mn spin glasses
journal, January 1985

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

Cooperative Paramagnetism in the Geometrically Frustrated Pyrochlore Antiferromagnet ${Tb}_{2} {Ti}_{2} O_{7}$
journal, February 1999

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

Spin-liquid ground state in the frustrated $J_{1} − J_{2}$ zigzag chain system ${BaTb}_{2} O_{4}$
journal, July 2015

Disordered magnetism and spin glasses
journal, May 1996

Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet
journal, November 2015

Neutron scattering lengths and cross sections
journal, January 1992

1610136
null, January 2016

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

ESR measurements of phosphorus dimers in isotopically enriched ${}^{28}{Si}$ silicon
journal, June 2015

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation
journal, September 2016

${BaNi}_{2} V_{2} O_{8} :$ A two-dimensional honeycomb antiferromagnet
journal, April 2002

Monte Carlo simulations of the spin- ¹ / ₂ Heisenberg antiferromagnet in two dimensions
journal, March 1989

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

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
journal, November 2009

“Magnetic monopole” condensation of the pyrochlore ice U(1) quantum spin liquid: Application to $\Pr_{2} {Ir}_{2} O_{7}$ and ${Yb}_{2} {Ti}_{2} O_{7}$
journal, November 2016

Magnetic properties of the layered nickel compounds BaNi2(PO4)2 and BaNi2(AsO4)2
journal, January 1980

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

TbInO3 Reduced neutron spectroscopy data from SNS on the CNCS and SEQUOIA Instruments
dataset, January 2018

Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
journal, December 2016

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

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

Antiferromagnetic spin ice correlations at ( $\frac{1}{2}$ , $\frac{1}{2}$ , $\frac{1}{2}$ ) in the ground state of the pyrochlore magnet Tb $_{2}$ Ti $_{2}$ O $_{7}$
journal, March 2013

Kitaev materials beyond iridates: Order by quantum disorder and Weyl magnons in rare-earth double perovskites
journal, February 2017

Quadrupole order in the frustrated pyrochlore magnet Tb ₂ Ti ₂ O ₇
journal, February 2016

Stability and structure of noncentrosymmetric hexagonal LnInO3 (Ln = Eu, Gd, Tb, Dy, Ho, Y)
journal, January 1976

Dirac's “magnetic monopoles” in pyrochlore ice $U (1)$ spin liquids: Spectrum and classification
journal, November 2017

Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na $_{2}$ IrO $_{3}$
journal, May 2012

Field dependence of μSR signals in a polycrystalline magnet
journal, October 2007

Spin Ice State in Frustrated Magnetic Pyrochlore Materials
journal, November 2001

Spin-orbit excitations and electronic structure of the putative Kitaev magnet $α - {RuCl}_{3}$
journal, February 2016

Crystal-field states of Pr $^{3 +}$ in the candidate quantum spin ice Pr $_{2}$ Sn $_{2}$ O $_{7}$
journal, September 2013

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

Muon spin relaxation investigation of the spin dynamics of geometrically frustrated antiferromagnets $Y_{2}$ ${Mo}_{2}$ $O_{7}$ and ${Tb}_{2}$ ${Mo}_{2}$ $O_{7}$
journal, October 1996

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3
journal, May 2015

Long-range magnetic ordering in Na $_{2}$ IrO $_{3}$
journal, June 2011

Magnetic monopoles in spin ice
journal, January 2008

Muon-spin relaxation measurements on the dimerized spin- $1 ∕ 2$ chains $Na Ti {Si}_{2} O_{6}$ and TiOCl
journal, March 2007

Magnetic Monopoles in Spin Ice
journal, January 2008

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, December 1966

ESR measurements of phosphorus dimers in isotopically enriched 28Si silicon
text, January 2014

Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
text, January 2015

Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
text, January 2016

Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
text, January 2016

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

Spin Correlations and Short‐Range Magnetic Order in the Honeycomb‐Layered Na ₂ Ni ₂ TeO ₆
journal, August 2019

REZnAl ₁₁ O ₁₉ (RE = Pr, Nd, Sm–Tb): a new family of ideal 2D triangular lattice frustrated magnets
journal, January 2019

Heisenberg–Kitaev physics in magnetic fields
journal, July 2019

Magnetism and spin-gap behaviour in the layered Pr ₃ T ₄ Al ₁₂ ( T = Fe, Ru, Os) compounds with the distorted Kagomé lattice
journal, December 2019

Absence of magnetic ordering in the spin liquid candidate Ca ₃ Cu ₂ GeV ₂ O ₁₂
journal, December 2019

Spin-liquid-like state in pure and Mn-doped ${TbInO}_{3}$ with a nearly triangular lattice
journal, July 2019