Resolution of zigzag magnetic correlations in Na-deficient NaxIrO3 without long-range ordering

Kim, Jungho; Zhao, Hengdi; Cao, Gang

doi:10.1103/physrevb.106.075157

Title: Resolution of zigzag magnetic correlations in Na-deficient Na x IrO 3 without long-range ordering

Abstract

The materials search for Kitaev quantum spin liquids led to the discovery of many honeycomb lattice materials. Much attention has been paid to materials without magnetic order down to the lowest temperatures. The newly synthesized Na-deficient Na_xIrO₃ has been found to bear no sign of long-range magnetic order above 1 K from physical property measurements. In this paper, we report momentum-and energy-resolved excitation spectra in Na-deficient Na_xIrO₃ measured using a resonant inelastic x-ray scattering spectrometer. Orbital excitation spectra show that the octahedral and trigonal crystal field splittings are larger in Na_xIrO₃ than in Na₂IrO₃. On the other hand, the low-energy spectrum at low temperature shows a wave-vector dispersion and a spectral weight distribution that are similar to those of Na₂IrO₃, revealing that the two-dimensional zigzag magnetic correlations in Na_xIrO₃ are similar to those in Na₂IrO₃ in terms of the ordered magnetic moment direction and three dynamically fluctuating zigzag orders. The azimuth angle dependence of the low-energy spectrum corroborates these results. The two-dimensional zigzag magnetic correlations rapidly weaken until 50 K. At high temperatures, the spectral weight distribution of the low-energy excitation resembles that of the pure Kitaev model, indicating that the Kitaev interaction dominates the dynamic magnetic response at highmore »« less

Authors:

^[1];

^[2]; Cao, Gang ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Univ. of Colorado, Boulder, CO (United States)

Publication Date:: Wed Aug 31 00:00:00 EDT 2022

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Czech Science Foundation (GA CR); National Science Foundation (NSF)

OSTI Identifier:: 1909595

Grant/Contract Number:: AC02-06CH11357; DMR 1903888

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 106; Journal Issue: 7; 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; quantum spin liquid; RIXS; honeycomb lattice; iridates; Kitaev-Heisenberg model; resonant inelastic x-ray scattering

Citation Formats


                    Kim, Jungho, Zhao, Hengdi, and Cao, Gang. Resolution of zigzag magnetic correlations in Na-deficient NaxIrO3 without long-range ordering.  United States: N. p., 2022. 
Web.  doi:10.1103/physrevb.106.075157.

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                    Kim, Jungho, Zhao, Hengdi, & Cao, Gang. Resolution of zigzag magnetic correlations in Na-deficient NaxIrO3 without long-range ordering.  United States.  https://doi.org/10.1103/physrevb.106.075157

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                    Kim, Jungho, Zhao, Hengdi, and Cao, Gang. Wed .  
"Resolution of zigzag magnetic correlations in Na-deficient NaxIrO3 without long-range ordering".  United States.  https://doi.org/10.1103/physrevb.106.075157.  https://www.osti.gov/servlets/purl/1909595.

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@article{osti_1909595,

  title        = {Resolution of zigzag magnetic correlations in Na-deficient NaxIrO3 without long-range ordering},

  author       = {Kim, Jungho and Zhao, Hengdi and Cao, Gang},

  abstractNote = {The materials search for Kitaev quantum spin liquids led to the discovery of many honeycomb lattice materials. Much attention has been paid to materials without magnetic order down to the lowest temperatures. The newly synthesized Na-deficient NaxIrO3 has been found to bear no sign of long-range magnetic order above 1 K from physical property measurements. In this paper, we report momentum-and energy-resolved excitation spectra in Na-deficient NaxIrO3 measured using a resonant inelastic x-ray scattering spectrometer. Orbital excitation spectra show that the octahedral and trigonal crystal field splittings are larger in NaxIrO3 than in Na2IrO3. On the other hand, the low-energy spectrum at low temperature shows a wave-vector dispersion and a spectral weight distribution that are similar to those of Na2IrO3, revealing that the two-dimensional zigzag magnetic correlations in NaxIrO3 are similar to those in Na2IrO3 in terms of the ordered magnetic moment direction and three dynamically fluctuating zigzag orders. The azimuth angle dependence of the low-energy spectrum corroborates these results. The two-dimensional zigzag magnetic correlations rapidly weaken until 50 K. At high temperatures, the spectral weight distribution of the low-energy excitation resembles that of the pure Kitaev model, indicating that the Kitaev interaction dominates the dynamic magnetic response at high temperature. Here we suggest that the larger crystal field and distortion and the weakened longer-range Heisenberg exchange interactions due to the Na deficiency in NaxIrO3 contribute to bring NaxIrO3 away from the zigzag long-range magnetic order phase.},

  doi          = {10.1103/physrevb.106.075157},

  journal      = {Physical Review. B},

  number       = 7,

  volume       = 106,

  place        = {United States},

  year         = {Wed Aug 31 00:00:00 EDT 2022},

  month        = {Wed Aug 31 00:00:00 EDT 2022}

}

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Works referenced in this record:

Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes
journal, May 2014

Knolle, J.; Kovrizhin, D. L.; Chalker, J. T.
Physical Review Letters, Vol. 112, Issue 20
DOI: 10.1103/PhysRevLett.112.207203

Ground state in proximity to a possible Kitaev spin liquid: The undistorted honeycomb iridate NaxIrO3 (0.60≤x≤0.80)
journal, July 2021

Zhao, Hengdi; Hu, Bing; Ye, Feng
Physical Review B, Vol. 104, Issue 4
DOI: 10.1103/PhysRevB.104.L041108

Crystal-Field Splitting and Correlation Effect on the Electronic Structure of $A_{2} {IrO}_{3}$
journal, February 2013

Gretarsson, H.; Clancy, J. P.; Liu, X.
Physical Review Letters, Vol. 110, Issue 7
DOI: 10.1103/PhysRevLett.110.076402

Heat capacity evidence for proximity to the Kitaev quantum spin liquid in $A_{2} {IrO}_{3}$ ( $A = Na$ , Li)
journal, April 2017

Mehlawat, Kavita; Thamizhavel, A.; Singh, Yogesh
Physical Review B, Vol. 95, Issue 14
DOI: 10.1103/PhysRevB.95.144406

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

Winter, Stephen M.; Li, Ying; Jeschke, Harald O.
Physical Review B, Vol. 93, Issue 21
DOI: 10.1103/PhysRevB.93.214431

Proximate ferromagnetic state in the Kitaev model material α-RuCl3
journal, July 2021

Suzuki, H.; Liu, H.; Bertinshaw, J.
Nature Communications, Vol. 12, Issue 1
DOI: 10.1038/s41467-021-24722-4

Dynamic Spin Correlations in the Honeycomb Lattice ${Na}_{2} {IrO}_{3}$ Measured by Resonant Inelastic x-Ray Scattering
journal, May 2020

Kim, Jungho; Chaloupka, Jiří; Singh, Yogesh
Physical Review X, Vol. 10, Issue 2
DOI: 10.1103/PhysRevX.10.021034

Universal thermodynamics in the Kitaev fractional liquid
journal, October 2020

Li, Han; Qu, Dai-Wei; Zhang, Hao-Kai
Physical Review Research, Vol. 2, Issue 4
DOI: 10.1103/PhysRevResearch.2.043015

Evolution of magnetism in the single-crystal honeycomb iridates $({Na}_{1 - x}$ Li $_{x})_{2} Ir O_{3}$
journal, December 2013

Cao, G.; Qi, T. F.; Li, L.
Physical Review B, Vol. 88, Issue 22
DOI: 10.1103/PhysRevB.88.220414

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

Sela, Eran; Jiang, Hong-Chen; Gerlach, Max H.
Physical Review B, Vol. 90, Issue 3
DOI: 10.1103/PhysRevB.90.035113

Models and materials for generalized Kitaev magnetism
journal, November 2017

Winter, Stephen M.; Tsirlin, Alexander A.; Daghofer, Maria
Journal of Physics: Condensed Matter, Vol. 29, Issue 49
DOI: 10.1088/1361-648X/aa8cf5

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

Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young
Physical Review Letters, Vol. 112, Issue 7
DOI: 10.1103/PhysRevLett.112.077204

Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
journal, October 2020

Revelli, A.; Moretti Sala, M.; Monaco, G.
Physical Review Research, Vol. 2, Issue 4
DOI: 10.1103/PhysRevResearch.2.043094

Electronic excitations in the edge-shared relativistic Mott insulator: ${Na}_{2}$ ${IrO}_{3}$
journal, February 2014

Kim, Beom Hyun; Khaliullin, G.; Min, B. I.
Physical Review B, Vol. 89, Issue 8
DOI: 10.1103/PhysRevB.89.081109

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

Choi, S. K.; Coldea, R.; Kolmogorov, A. N.
Physical Review Letters, Vol. 108, Issue 12
DOI: 10.1103/PhysRevLett.108.127204

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

Winter, Stephen M.; Riedl, Kira; Kaib, David
Physical Review Letters, Vol. 120, Issue 7
DOI: 10.1103/PhysRevLett.120.077203

Majorana fermions in the Kitaev quantum spin system α-RuCl3
journal, September 2017

Do, Seung-Hwan; Park, Sang-Youn; Yoshitake, Junki
Nature Physics, Vol. 13, Issue 11
DOI: 10.1038/nphys4264

Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in ${Na}_{2} {IrO}_{3}$
journal, October 2014

Sizyuk, Yuriy; Price, Craig; Wölfle, Peter
Physical Review B, Vol. 90, Issue 15
DOI: 10.1103/PhysRevB.90.155126

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

Kimchi, Itamar; You, Yi-Zhuang
Physical Review B, Vol. 84, Issue 18
DOI: 10.1103/PhysRevB.84.180407

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

Sandilands, Luke J.; Tian, Yao; Plumb, Kemp W.
Physical Review Letters, Vol. 114, Issue 14
DOI: 10.1103/PhysRevLett.114.147201

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

Ye, Feng; Chi, Songxue; Cao, Huibo
Physical Review B, Vol. 85, Issue 18
DOI: 10.1103/PhysRevB.85.180403

Ground-state properties of ${Na}_{2} {IrO}_{3}$ determined from an ab initio Hamiltonian and its extensions containing Kitaev and extended Heisenberg interactions
journal, August 2017

Okubo, Tsuyoshi; Shinjo, Kazuya; Yamaji, Youhei
Physical Review B, Vol. 96, Issue 5
DOI: 10.1103/PhysRevB.96.054434

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

Singh, Yogesh; Gegenwart, P.
Physical Review B, Vol. 82, Issue 6
DOI: 10.1103/PhysRevB.82.064412

Fractional Spin Fluctuations as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model
journal, October 2016

Yoshitake, Junki; Nasu, Joji; Motome, Yukitoshi
Physical Review Letters, Vol. 117, Issue 15
DOI: 10.1103/PhysRevLett.117.157203

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

Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat
Physical Review Letters, Vol. 105, Issue 2
DOI: 10.1103/PhysRevLett.105.027204

Density-matrix renormalization group study of the extended Kitaev-Heisenberg model
journal, February 2015

Shinjo, Kazuya; Sota, Shigetoshi; Tohyama, Takami
Physical Review B, Vol. 91, Issue 5
DOI: 10.1103/PhysRevB.91.054401

Magnetic excitation spectrum of Na $_{2}$ IrO $_{3}$ probed with resonant inelastic x-ray scattering
journal, June 2013

Gretarsson, H.; Clancy, J. P.; Singh, Yogesh
Physical Review B, Vol. 87, Issue 22
DOI: 10.1103/PhysRevB.87.220407

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

Jackeli, G.; Khaliullin, G.
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.017205

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

Hwan Chun, Sae; Kim, Jong-Woo; Kim, Jungho
Nature Physics, Vol. 11, Issue 6
DOI: 10.1038/nphys3322

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

Liu, X.; Berlijn, T.; Yin, W. -G.
Physical Review B, Vol. 83, Issue 22
DOI: 10.1103/PhysRevB.83.220403

Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions
journal, September 2015

Nasu, Joji; Udagawa, Masafumi; Motome, Yukitoshi
Physical Review B, Vol. 92, Issue 11
DOI: 10.1103/PhysRevB.92.115122

Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
journal, July 2017

Yoshitake, Junki; Nasu, Joji; Kato, Yasuyuki
Physical Review B, Vol. 96, Issue 2
DOI: 10.1103/PhysRevB.96.024438

First-Principles Study of the Honeycomb-Lattice Iridates ${Na}_{2} {IrO}_{3}$ in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
journal, September 2014

Yamaji, Youhei; Nomura, Yusuke; Kurita, Moyuru
Physical Review Letters, Vol. 113, Issue 10
DOI: 10.1103/PhysRevLett.113.107201

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Title: Resolution of zigzag magnetic correlations in Na-deficient Na x IrO 3 without long-range ordering

Abstract

Citation Formats

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Ground state in proximity to a possible Kitaev spin liquid: The undistorted honeycomb iridate NaxIrO3 (0.60≤x≤0.80) journal, July 2021

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Universal thermodynamics in the Kitaev fractional liquid journal, October 2020

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