Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3

doi:10.1103/PhysRevB.96.140402

Title: Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li₂IrO₃

Abstract

Here, we explore the response of Ir 5d orbitals to pressure in β-Li₂IrO₃, a hyperhoneycomb iridate in proximity to a Kitaev quantum spin-liquid (QSL) ground state. X-ray absorption spectroscopy reveals a reconstruction of the electronic ground state below 2 GPa, the same pressure range where x-ray magnetic circular dichroism shows an apparent collapse of magnetic order. The electronic reconstruction, which manifests a reduction in the effective spin-orbit interaction in 5d orbitals, pushes β-Li₂IrO₃ further away from the pure J_eff = 1/2 limit. Although lattice symmetry is preserved across the electronic transition, x-ray diffraction shows a highly anisotropic compression of the hyperhoneycomb lattice which affects the balance of bond-directional Ir-Ir exchange interactions driven by spin-orbit coupling at Ir sites. An enhancement of symmetric anisotropic exchange over Kitaev and Heisenberg exchange interactions seen in theoretical calculations that use precisely this anisotropic Ir-Ir bond compression provides one possible route to the realization of a QSL state in this hyperhoneycomb iridate at high pressures.

Authors:

Veiga, L. S. I. ^[1]; Etter, M. ^[2]; Glazyrin, K. ^[2]; Sun, F. ^[3]; Escanhoela, Jr., C. A. ^[4]; Fabbris, G. ^[5]; Mardegan, J. R. L. ^[2]; Malavi, P. S. ^[6]; Deng, Y. ^[6]; Stavropoulos, P. P. ^[7]; Kee, H. -Y. ^[8]; Yang, W. G. ^[9]; van Veenendaal, M. ^[10]; Schilling, J. S. ^[6]; Takayama, T. ^[11]; Takagi, H. ^[11]; Haskel, D. ^[12]

Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Argonne National Lab. (ANL), Argonne, IL (United States); Univ. College London, London (United Kingdom)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Argonne National Lab. (ANL), Argonne, IL (United States); Center for High Pressure Science & Technology Advanced Research (HPSTAR), Shanghai (China); Chinese Academy of Sciences (CAS), Beijing (China)
Argonne National Lab. (ANL), Argonne, IL (United States); Brazilian Synchrotron Light Lab. (LNLS), Campinas (Brazil)
Argonne National Lab. (ANL), Argonne, IL (United States); Washington Univ., St. Louis, MO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Washington Univ., St. Louis, MO (United States)
Univ. of Toronto, Toronto, ON (Canada)
Univ. of Toronto, Toronto, ON (Canada); Canadian Institute for Advanced Research/Quantum Materials Program, Toronto, ON (Canada)
Center for High Pressure Science & Technology Advanced Research (HPSTAR), Shanghai (China); Carnegie Inst. of Washington, Argonne, IL (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Northern Illinois Univ., DeKalb, IL (United States)
Max Planck Institute for Solid State Research, Stuttgart (Germany); Univ. of Tokyo, Tokyo (Japan)
Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: 2017-10-10

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: Argonne National Laboratory, Advanced Photon Source; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences and Engineering Division; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1402077

Alternate Identifier(s):: OSTI ID: 1398826; OSTI ID: 1412661

Report Number(s):: BNL-114421-2017-JA
Journal ID: ISSN 0163-1829; 135629; TRN: US1702869

Grant/Contract Number:: AC02-06CH11357; SC0012704; 1047478; FG02-03ER46097; NA0001974; FG02-99ER45775

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review, B: Condensed Matter

Additional Journal Information:: Journal Volume: 96; Journal Issue: 14; Journal ID: ISSN 0163-1829

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Veiga, L. S. I., Etter, M., Glazyrin, K., Sun, F., Escanhoela, Jr., C. A., Fabbris, G., Mardegan, J. R. L., Malavi, P. S., Deng, Y., Stavropoulos, P. P., Kee, H. -Y., Yang, W. G., van Veenendaal, M., Schilling, J. S., Takayama, T., Takagi, H., and Haskel, D. Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3.  United States: N. p., 2017. 
        Web.  doi:10.1103/PhysRevB.96.140402.

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                    Veiga, L. S. I., Etter, M., Glazyrin, K., Sun, F., Escanhoela, Jr., C. A., Fabbris, G., Mardegan, J. R. L., Malavi, P. S., Deng, Y., Stavropoulos, P. P., Kee, H. -Y., Yang, W. G., van Veenendaal, M., Schilling, J. S., Takayama, T., Takagi, H., & Haskel, D. Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3.  United States.  doi:https://doi.org/10.1103/PhysRevB.96.140402

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                    Veiga, L. S. I., Etter, M., Glazyrin, K., Sun, F., Escanhoela, Jr., C. A., Fabbris, G., Mardegan, J. R. L., Malavi, P. S., Deng, Y., Stavropoulos, P. P., Kee, H. -Y., Yang, W. G., van Veenendaal, M., Schilling, J. S., Takayama, T., Takagi, H., and Haskel, D. Tue .  
        "Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3".  United States.  doi:https://doi.org/10.1103/PhysRevB.96.140402.  https://www.osti.gov/servlets/purl/1402077.

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@article{osti_1402077,

  title        = {Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3},

  author       = {Veiga, L. S. I. and Etter, M. and Glazyrin, K. and Sun, F. and Escanhoela, Jr., C. A. and Fabbris, G. and Mardegan, J. R. L. and Malavi, P. S. and Deng, Y. and Stavropoulos, P. P. and Kee, H. -Y. and Yang, W. G. and van Veenendaal, M. and Schilling, J. S. and Takayama, T. and Takagi, H. and Haskel, D.},

  abstractNote = {Here, we explore the response of Ir 5d orbitals to pressure in β-Li2IrO3, a hyperhoneycomb iridate in proximity to a Kitaev quantum spin-liquid (QSL) ground state. X-ray absorption spectroscopy reveals a reconstruction of the electronic ground state below 2 GPa, the same pressure range where x-ray magnetic circular dichroism shows an apparent collapse of magnetic order. The electronic reconstruction, which manifests a reduction in the effective spin-orbit interaction in 5d orbitals, pushes β-Li2IrO3 further away from the pure Jeff = 1/2 limit. Although lattice symmetry is preserved across the electronic transition, x-ray diffraction shows a highly anisotropic compression of the hyperhoneycomb lattice which affects the balance of bond-directional Ir-Ir exchange interactions driven by spin-orbit coupling at Ir sites. An enhancement of symmetric anisotropic exchange over Kitaev and Heisenberg exchange interactions seen in theoretical calculations that use precisely this anisotropic Ir-Ir bond compression provides one possible route to the realization of a QSL state in this hyperhoneycomb iridate at high pressures.},

  doi          = {10.1103/PhysRevB.96.140402},

  journal      = {Physical Review, B: Condensed Matter},

  number       = 14,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

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DOI: https://doi.org/10.1103/PhysRevB.96.140402

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Cited by: 18 works

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Figure 1: (a,b) Ir L_2,3 XANES data at T = 5 K as a function of pressure collected in experimental run 2. (c) Pressure dependence of the branching ratio at T = 5 K and T=300 K measured in independent experiments. The inset shows the pressure dependence of the XMCDmore »

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Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate $\beta$−Li$_{2}$IrO$_{3}$
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Breakdown of Magnetic Order in the Pressurized Kitaev Iridate $β − {Li}_{2} {IrO}_{3}$
journal, June 2018

Majumder, M.; Manna, R. S.; Simutis, G.
Physical Review Letters, Vol. 120, Issue 23
DOI: 10.1103/physrevlett.120.237202

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials
journal, November 2019

Choi, Wonjune; Mizoguchi, Tomonari; Kim, Yong Baek
Physical Review Letters, Vol. 123, Issue 22
DOI: 10.1103/physrevlett.123.227202

Possible Quantum Paramagnetism in Compressed ${Sr}_{2} {IrO}_{4}$
journal, February 2020

Haskel, D.; Fabbris, G.; Kim, J. H.
Physical Review Letters, Vol. 124, Issue 6
DOI: 10.1103/physrevlett.124.067201

Anisotropic temperature-field phase diagram of single crystalline $β - {Li}_{2} {IrO}_{3}$ : Magnetization, specific heat, and ${}^{7}{Li}$ NMR study
journal, July 2019

Majumder, M.; Freund, F.; Dey, T.
Physical Review Materials, Vol. 3, Issue 7
DOI: 10.1103/physrevmaterials.3.074408

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

Li, Mengqun; Perkins, Natalia B.; Rousochatzakis, Ioannis
Physical Review Research, Vol. 1, Issue 1
DOI: 10.1103/physrevresearch.1.013002

Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $β - {Li}_{2} {IrO}_{3}$
journal, January 2020

Li, Mengqun; Rousochatzakis, Ioannis; Perkins, Natalia B.
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.013065

Pressure-Tuned Interactions in Frustrated Magnets: Pathway to Quantum Spin Liquids?
journal, December 2019

Biesner, Tobias; Uykur, Ece
Crystals, Vol. 10, Issue 1
DOI: 10.3390/cryst10010004

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Similar Records in DOE PAGES and OSTI.GOV collections:

Pressure-induced structural dimerization in the hyperhoneycomb iridate $β - Li_{2} IrO_{3}$ at low temperatures

Journal Article Veiga, L. S. I. ; Glazyrin, K. ; Fabbris, G. ; ... - Physical Review B

A pressure-induced collapse of magnetic ordering in β-Li₂IrO₃ at P_m similar to 1.5-2 GPa has previously been interpreted as evidence for potential emergence of spin liquid states in this hyperhoneycomb iridate, raising prospects for experimental realizations of the Kitaev model. Based on structural data obtained at room temperature, this magnetic transition is believed to originate in small lattice perturbations that preserve crystal symmetry, and related changes in bond-directional anisotropic exchange interactions. In this work, we report on the evolution of the crystal structure of β-Li₂IrO₃ under pressure at low temperatures (T ≤ 50 K) and show that the suppression ofmore »« less
Cited by 4
DOI: https://doi.org/10.1103/PhysRevB.100.064104

Full Text Available
Hyperhoneycomb Iridate $β - {Li}_{2} {IrO}_{3}$ as a Platform for Kitaev Magnetism

Journal Article Takayama, T. ; Kato, A. ; Dinnebier, R. ; ... - Physical Review Letters

A complex iridium oxide β-Li₂IrO₃ crystallizes in a hyperhoneycomb structure, a three-dimensional analogue of honeycomb lattice, and is found to be a spin-orbital Mott insulator with J_eff = 1/2 moment. Ir ions are connected to the three neighboring Ir ions via Ir-O₂-Ir bonding planes, which very likely gives rise to bond-dependent ferromagnetic interactions between the J_eff = 1/2 moments, an essential ingredient of Kitaev model with a spin liquid ground state. Dominant ferromagnetic interaction between J(eff) = 1/2 moments is indeed confirmed by the temperature dependence of magnetic susceptibility chi(T) which shows a positive Curie-Weiss temperaturemore »« less
DOI: https://doi.org/10.1103/PhysRevLett.114.077202
Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $β – {Li}_{2} {IrO}_{3}$

Journal Article Ducatman, Samuel ; Rousochatzakis, Ioannis ; Perkins, Natalia B. - Physical Review B

We present a theoretical study of the static and dynamical properties of the three-dimensional, hyperhoneycomb Kitaev magnet β–Li₂IrO₃. We argue that the observed incommensurate order can be understood in terms of a long-wavelength twisting of a nearby commensurate period-3 state, with the same key qualitatively features. The period-3 state shows very different structure when either the Kitaev interaction K or the off-diagonal exchange anisotropy Γ is dominant. A comparison of the associated static spin structure factors with reported scattering experiments in zero and finite fields gives strong evidence that β–Li₂IrO₃ lies in the regime of dominant Kitaev coupling, and thatmore »« less
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DOI: https://doi.org/10.1103/PhysRevB.97.125125

Full Text Available
Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na₂IrO₃

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We show that heisenberg interactions are ubiquitous in magnetic materials and play a central role in modelling and designing quantum magnets. Bond-directional interactions offer a novel alternative to Heisenberg exchange and provide the building blocks of the Kitaev model, which has a quantum spin liquid as its exact ground state. Honeycomb iridates, A₂IrO₃ (A = Na, Li), offer potential realizations of the Kitaev magnetic exchange coupling, and their reported magnetic behaviour may be interpreted within the Kitaev framework. However, the extent of their relevance to the Kitaev model remains unclear, as evidence for bond-directional interactions has so far been indirect.more »« less
Cited by 99
DOI: https://doi.org/10.1038/nphys3322

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Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $γ - {Li}_{2} {IrO}_{3}$

Journal Article Breznay, Nicholas P. ; Ruiz, Alejandro ; Frano, Alex ; ... - Physical Review B

Honeycomb iridates such as γ-Li₂IrO₃ are argued to realize Kitaev spin-anisotropic magnetic exchange, along with Heisenberg and possibly other couplings. While systems with pure Kitaev interactions are candidates to realize a quantum spin-liquid ground state, in γ-Li₂IrO₃ it has been shown that the presence of competing magnetic interactions leads to an incommensurate spiral spin order at ambient pressure below 38 K. We study the pressure sensitivity of this magnetically ordered state in single crystals of γ-Li₂IrO₃ using resonant x-ray scattering (RXS) under applied hydrostatic pressures of up to 3 GPa. RXS is a direct probe of electronic order, and wemore »« less
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DOI: https://doi.org/10.1103/PhysRevB.96.020402

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Similar Records

Title: Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li2IrO3

Abstract

Citation Formats

Figures / Tables:

Efficient projector expansion for the ab initio LCAO method journal, July 2005

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

Experimental Confirmation of the X-Ray Magnetic Circular Dichroism Sum Rules for Iron and Cobalt journal, July 1995

Pressure-induced Superconductivity in Elemental Materials journal, May 2005

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

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

Evolution of magnetism in the single-crystal honeycomb iridates ( Na 1 − x Li x ) 2 Ir O 3 journal, December 2013

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

The ruby pressure standard to 150GPa journal, December 2005

Linear relation between x-ray absorption branching ratio and valence-band spin-orbit expectation value journal, August 1988

X-ray circular dichroism and local magnetic fields journal, February 1993

Theory of magnetic phase diagrams in hyperhoneycomb and harmonic-honeycomb iridates journal, February 2015

Topological crystalline metal in orthorhombic perovskite iridates journal, March 2015

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

Local Probe for Spin-Orbit Interaction journal, May 1988

Topological insulators and metal-insulator transition in the pyrochlore iridates journal, August 2010

Topological Spinon Semimetals and Gapless Boundary States in Three Dimensions journal, March 2015

Semimetal and Topological Insulator in Perovskite Iridates journal, March 2012

Three-dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite- D approximation journal, November 2014

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

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

Pressure Tuning of the Spin-Orbit Coupled Ground State in Sr 2 IrO 4 journal, July 2012

Calculating branching ratio and spin-orbit coupling from first principles: A formalism and its application to iridates journal, September 2016

Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets journal, April 2017

Numerical atomic basis orbitals from H to Kr journal, May 2004

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

Theory of Raman response in three-dimensional Kitaev spin liquids: Application to β - and γ − Li 2 IrO 3 compounds journal, September 2015

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

Topological and magnetic phases of interacting electrons in the pyrochlore iridates journal, January 2012

Hyperhoneycomb Iridate β − Li 2 IrO 3 as a Platform for Kitaev Magnetism journal, February 2015

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

VESTA : a three-dimensional visualization system for electronic and structural analysis journal, May 2008

Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate γ − Li 2 IrO 3 journal, July 2017

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3 journal, March 2012

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

Pressure dependence of the structure and electronic properties of Sr 3 Ir 2 O 7 journal, May 2016

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

Magnetic ordering at anomalously high temperatures in Dy at extreme pressures journal, January 2015

O ( N ) LDA + U electronic structure calculation method based on the nonorthogonal pseudoatomic orbital basis journal, January 2006

Orbital Magnetism and Spin-Orbit Effects in the Electronic Structure of BaIrO 3 journal, November 2010

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

Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates β- and γ-Li2IrO3 journal, July 2016

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

Ab-initio structure determination of LiSbWO6 by X-ray powder diffraction journal, March 1988

Different response of transport and magnetic properties of BaIrO 3 to chemical and physical pressure journal, July 2014

Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid journal, December 2016

X-ray circular dichroism as a probe of orbital magnetization journal, March 1992

Sr 2 Ir 1 − x Rh x O 4 ( x < 0.5 ) : An inhomogeneous j eff = 1 2 Hubbard system journal, August 2015

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

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

Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: From ab initio to spin model journal, December 2015

Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate $\beta$−Li$_{2}$IrO$_{3}$ text, January 2017

Pressure-induced structural dimerization in the hyperhoneycomb iridate β − Li 2 IrO 3 at low temperatures journal, August 2019

Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange journal, June 2019

Pressure-induced structural dimerization in the hyperhoneycomb iridate β − Li 2 IrO 3 at low temperatures journal, August 2019

Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange journal, June 2019

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

Models and materials for generalized Kitaev magnetism journal, November 2017

Coexistence of static and dynamic magnetism in the Kitaev spin liquid material Cu 2 IrO 3 journal, September 2019

Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling journal, October 2019

Lattice dynamics and structural transition of the hyperhoneycomb iridate β − Li 2 IrO 3 investigated by high-pressure Raman scattering journal, February 2020

Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: α − Li 2 IrO 3 under pressure journal, January 2018

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

Magnetic field induced evolution of intertwined orders in the Kitaev magnet β − Li 2 IrO 3 journal, May 2018

Electronic and structural response to pressure in the hyperkagome-lattice Na 3 Ir 3 O 8 journal, August 2018

Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet α − Li 2 IrO 3 journal, February 2019

Pressure-induced collapse of the spin-orbital Mott state in the hyperhoneycomb iridate β − Li 2 IrO 3 journal, March 2019

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β − Li 2 IrO 3 journal, June 2018

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials journal, November 2019

Possible Quantum Paramagnetism in Compressed Sr 2 IrO 4 journal, February 2020

Anisotropic temperature-field phase diagram of single crystalline β − Li 2 IrO 3 : Magnetization, specific heat, and Li 7 NMR study journal, July 2019

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

Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3 journal, January 2020

Pressure-Tuned Interactions in Frustrated Magnets: Pathway to Quantum Spin Liquids? journal, December 2019

Title: Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate β-Li₂IrO₃

Efficient projector expansion for the ab initio LCAO method
journal, July 2005

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

Experimental Confirmation of the X-Ray Magnetic Circular Dichroism Sum Rules for Iron and Cobalt
journal, July 1995

Pressure-induced Superconductivity in Elemental Materials
journal, May 2005

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

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

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

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

The ruby pressure standard to 150GPa
journal, December 2005

Linear relation between x-ray absorption branching ratio and valence-band spin-orbit expectation value
journal, August 1988

X-ray circular dichroism and local magnetic fields
journal, February 1993

Theory of magnetic phase diagrams in hyperhoneycomb and harmonic-honeycomb iridates
journal, February 2015

Topological crystalline metal in orthorhombic perovskite iridates
journal, March 2015

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

Local Probe for Spin-Orbit Interaction
journal, May 1988

Topological insulators and metal-insulator transition in the pyrochlore iridates
journal, August 2010

Topological Spinon Semimetals and Gapless Boundary States in Three Dimensions
journal, March 2015

Semimetal and Topological Insulator in Perovskite Iridates
journal, March 2012

Three-dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite- $D$ approximation
journal, November 2014

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

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

Pressure Tuning of the Spin-Orbit Coupled Ground State in ${Sr}_{2} {IrO}_{4}$
journal, July 2012

Calculating branching ratio and spin-orbit coupling from first principles: A formalism and its application to iridates
journal, September 2016

Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets
journal, April 2017

Numerical atomic basis orbitals from H to Kr
journal, May 2004

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

Theory of Raman response in three-dimensional Kitaev spin liquids: Application to $β$ - and $γ - {Li}_{2} {IrO}_{3}$ compounds
journal, September 2015

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

Topological and magnetic phases of interacting electrons in the pyrochlore iridates
journal, January 2012

Hyperhoneycomb Iridate $β − {Li}_{2} {IrO}_{3}$ as a Platform for Kitaev Magnetism
journal, February 2015

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

VESTA : a three-dimensional visualization system for electronic and structural analysis
journal, May 2008

Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $γ - {Li}_{2} {IrO}_{3}$
journal, July 2017

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates $A_{2} {IrO}_{3}$
journal, March 2012

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

Pressure dependence of the structure and electronic properties of ${Sr}_{3} {Ir}_{2} O_{7}$
journal, May 2016

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

Magnetic ordering at anomalously high temperatures in Dy at extreme pressures
journal, January 2015

$O (N)$ $LDA + U$ electronic structure calculation method based on the nonorthogonal pseudoatomic orbital basis
journal, January 2006

Orbital Magnetism and Spin-Orbit Effects in the Electronic Structure of ${BaIrO}_{3}$
journal, November 2010

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

Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates β- and γ-Li2IrO3
journal, July 2016

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

Ab-initio structure determination of LiSbWO6 by X-ray powder diffraction
journal, March 1988

Different response of transport and magnetic properties of ${BaIrO}_{3}$ to chemical and physical pressure
journal, July 2014

Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid
journal, December 2016

X-ray circular dichroism as a probe of orbital magnetization
journal, March 1992

${Sr}_{2} {Ir}_{1 - x} {Rh}_{x} O_{4} (x < 0.5)$ : An inhomogeneous $j_{eff} = \frac{1}{2}$ Hubbard system
journal, August 2015

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

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

Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: From ab initio to spin model
journal, December 2015

Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate $\beta$−Li$_{2}$IrO$_{3}$
text, January 2017

Pressure-induced structural dimerization in the hyperhoneycomb iridate $β − Li_{2} IrO_{3}$ at low temperatures
journal, August 2019

Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange
journal, June 2019

Pressure-induced structural dimerization in the hyperhoneycomb iridate $β − Li_{2} IrO_{3}$ at low temperatures
journal, August 2019

Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange
journal, June 2019

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

Models and materials for generalized Kitaev magnetism
journal, November 2017

Coexistence of static and dynamic magnetism in the Kitaev spin liquid material ${Cu}_{2} {IrO}_{3}$
journal, September 2019

Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling
journal, October 2019

Lattice dynamics and structural transition of the hyperhoneycomb iridate $β - {Li}_{2} {IrO}_{3}$ investigated by high-pressure Raman scattering
journal, February 2020

Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: $α - {Li}_{2} {IrO}_{3}$ under pressure
journal, January 2018

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

Magnetic field induced evolution of intertwined orders in the Kitaev magnet $β − {Li}_{2} {IrO}_{3}$
journal, May 2018

Electronic and structural response to pressure in the hyperkagome-lattice ${Na}_{3} {Ir}_{3} O_{8}$
journal, August 2018

Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $α − {Li}_{2} {IrO}_{3}$
journal, February 2019

Pressure-induced collapse of the spin-orbital Mott state in the hyperhoneycomb iridate $β - {Li}_{2} {IrO}_{3}$
journal, March 2019

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate $β − {Li}_{2} {IrO}_{3}$
journal, June 2018

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials
journal, November 2019

Possible Quantum Paramagnetism in Compressed ${Sr}_{2} {IrO}_{4}$
journal, February 2020

Anisotropic temperature-field phase diagram of single crystalline $β - {Li}_{2} {IrO}_{3}$ : Magnetization, specific heat, and ${}^{7}{Li}$ NMR study
journal, July 2019

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

Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $β - {Li}_{2} {IrO}_{3}$
journal, January 2020

Pressure-Tuned Interactions in Frustrated Magnets: Pathway to Quantum Spin Liquids?
journal, December 2019