Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet

Bao, Song; Wang, Jinghui; Wang, Wei; Cai, Zhengwei; Li, Shichao; Ma, Zhen; Wang, Di; Ran, Kejing; Dong, Zhao-Yang; Abernathy, D. L.; Yu, Shun-Li; Wan, Xiangang; Li, Jian-Xin; Wen, Jinsheng

doi:10.1038/s41467-018-05054-2

Title: Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet

Abstract

Topological magnons are emergent quantum spin excitations featured by magnon bands crossing linearly at the points dubbed nodes, analogous to fermions in topological electronic systems. Experimental realisation of topological magnons in three dimensions has not been reported so far. Here, by measuring spin excitations (magnons) of a three-dimensional antiferromagnet Cu3TeO6 with inelastic neutron scattering, we provide direct spectroscopic evidence for the coexistence of symmetry-protected Dirac and triply degenerate nodes, the latter involving three-component magnons beyond the Dirac–Weyl framework. Our theoretical calculations show that the observed topological magnon band structure can be well described by the linear-spin-wave theory based on a Hamiltonian dominated by the nearest neighbour exchange interaction J1. As such, we showcase Cu3TeO6 as an example system where Dirac and triply degenerate magnonic nodal excitations coexist, demonstrate an exotic topological state of matter, and provide a fresh ground to explore the topological properties in quantum materials.

Authors:

Bao, Song ^[1]; Wang, Jinghui ^[1]; Wang, Wei ^[1]; Cai, Zhengwei ^[1]; Li, Shichao ^[1]; Ma, Zhen ^[1]; Wang, Di ^[1]; Ran, Kejing ^[1]; Dong, Zhao-Yang ^[1];

^[2]; Yu, Shun-Li ^[3]; Wan, Xiangang ^[3]; Li, Jian-Xin ^[3];

^[3]

Nanjing Univ. (China). National Lab. of Solid State Microstructures. Dept. of Physics
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Spallation Neutron Source (SNS). Neutron Scattering Division
Nanjing Univ. (China). National Lab. of Solid State Microstructures. Dept. of Physics; Nanjing Univ. (China). Collaborative Innovation Center for Advanced Microstructures

Publication Date:: Tue Jul 03 00:00:00 EDT 2018

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

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

OSTI Identifier:: 1624107

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Nature Communications

Additional Journal Information:: Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Science & Technology - Other Topics

Citation Formats


                    Bao, Song, Wang, Jinghui, Wang, Wei, Cai, Zhengwei, Li, Shichao, Ma, Zhen, Wang, Di, Ran, Kejing, Dong, Zhao-Yang, Abernathy, D. L., Yu, Shun-Li, Wan, Xiangang, Li, Jian-Xin, and Wen, Jinsheng. Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet.  United States: N. p., 2018. 
Web.  doi:10.1038/s41467-018-05054-2.

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                    Bao, Song, Wang, Jinghui, Wang, Wei, Cai, Zhengwei, Li, Shichao, Ma, Zhen, Wang, Di, Ran, Kejing, Dong, Zhao-Yang, Abernathy, D. L., Yu, Shun-Li, Wan, Xiangang, Li, Jian-Xin, & Wen, Jinsheng. Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet.  United States.  https://doi.org/10.1038/s41467-018-05054-2

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                    Bao, Song, Wang, Jinghui, Wang, Wei, Cai, Zhengwei, Li, Shichao, Ma, Zhen, Wang, Di, Ran, Kejing, Dong, Zhao-Yang, Abernathy, D. L., Yu, Shun-Li, Wan, Xiangang, Li, Jian-Xin, and Wen, Jinsheng. Tue .  
"Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet".  United States.  https://doi.org/10.1038/s41467-018-05054-2.  https://www.osti.gov/servlets/purl/1624107.

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@article{osti_1624107,

  title        = {Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet},

  author       = {Bao, Song and Wang, Jinghui and Wang, Wei and Cai, Zhengwei and Li, Shichao and Ma, Zhen and Wang, Di and Ran, Kejing and Dong, Zhao-Yang and Abernathy, D. L. and Yu, Shun-Li and Wan, Xiangang and Li, Jian-Xin and Wen, Jinsheng},

  abstractNote = {Topological magnons are emergent quantum spin excitations featured by magnon bands crossing linearly at the points dubbed nodes, analogous to fermions in topological electronic systems. Experimental realisation of topological magnons in three dimensions has not been reported so far. Here, by measuring spin excitations (magnons) of a three-dimensional antiferromagnet Cu3TeO6 with inelastic neutron scattering, we provide direct spectroscopic evidence for the coexistence of symmetry-protected Dirac and triply degenerate nodes, the latter involving three-component magnons beyond the Dirac–Weyl framework. Our theoretical calculations show that the observed topological magnon band structure can be well described by the linear-spin-wave theory based on a Hamiltonian dominated by the nearest neighbour exchange interaction J1. As such, we showcase Cu3TeO6 as an example system where Dirac and triply degenerate magnonic nodal excitations coexist, demonstrate an exotic topological state of matter, and provide a fresh ground to explore the topological properties in quantum materials.},

  doi          = {10.1038/s41467-018-05054-2},

  journal      = {Nature Communications},

  number       = 1,

  volume       = 9,

  place        = {United States},

  year         = {Tue Jul 03 00:00:00 EDT 2018},

  month        = {Tue Jul 03 00:00:00 EDT 2018}

}

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DOI: 10.48550/arxiv.1706.03384

Observation of a phononic quadrupole topological insulator
text, January 2017

Serra-Garcia, Marc; Peri, Valerio; Süsstrunk, Roman
arXiv
DOI: 10.48550/arxiv.1708.05015

Copper Tellurium Oxides - A Playground for Magnetism
text, January 2017

Norman, M. R.
arXiv
DOI: 10.48550/arxiv.1708.05100

Bulk and edge spin transport in topological magnon insulators
text, January 2017

Rückriegel, Andreas; Brataas, Arne; Duine, Rembert A.
arXiv
DOI: 10.48550/arxiv.1710.09998

Magnonic triply-degenerate nodal points
text, January 2017

Owerre, S. A.
arXiv
DOI: 10.48550/arxiv.1711.00007

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

Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming
Journal of Research of the National Institute of Standards and Technology, Vol. 114, Issue 6
DOI: 10.6028/jres.114.025

Works referencing / citing this record:

Quantum magnetism in minerals
journal, July 2018

Inosov, D. S.
Advances in Physics, Vol. 67, Issue 3
DOI: 10.1080/00018732.2018.1571986

Multifold nodal points in magnetic materials
journal, October 2019

Cano, Jennifer; Bradlyn, Barry; Vergniory, M. G.
APL Materials, Vol. 7, Issue 10
DOI: 10.1063/1.5124314

Magnonic Weyl states in Cu 2 OSeO 3
journal, January 2020

Zhang, L. -C.; Onykiienko, Y. A.; Buhl, P. M.
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.013063

Synthesis and Structural Determination of the Disordered Bixbyite Cu _{3‐ x} Sb _{1+ x} O _{5.5+3 x /2} with Spin‐Glass Behaviour
journal, November 2018

Spasovski, Martin; Avdeev, Maxim; Söhnel, Tilo
Chemistry – An Asian Journal, Vol. 14, Issue 8
DOI: 10.1002/asia.201801835

Evidence from transport measurements for $YR h_{6} G e_{4}$ being a triply degenerate nodal semimetal
journal, January 2020

Zhu, Yanglin; Gui, Xin; Wang, Yu
Physical Review B, Vol. 101, Issue 3
DOI: 10.1103/physrevb.101.035133

Topological Spin Excitations in Honeycomb Ferromagnet ${CrI}_{3}$
journal, November 2018

Chen, Lebing; Chung, Jae-Ho; Gao, Bin
Physical Review X, Vol. 8, Issue 4
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Quantum Magnetism in Minerals
text, January 2018

Inosov, D. S.
arXiv
DOI: 10.48550/arxiv.1806.10967

Multifold nodal points in magnetic materials
text, January 2019

Cano, Jennifer; Bradlyn, Barry; Vergniory, M. G.
arXiv
DOI: 10.48550/arxiv.1904.12867

Evidence for magnon-phonon coupling in the topological magnet Cu$_3$TeO$_6$
text, January 2020

Bao, Song; Cai, Zhengwei; Si, Wenda
arXiv
DOI: 10.48550/arxiv.2006.07012

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Title: Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet

Abstract

Citation Formats

Topological magnon insulator in insulating ferromagnet journal, April 2013

Observation of a phononic quadrupole topological insulator journal, January 2018

Topological insulators and superconductors journal, October 2011

Dirac materials journal, January 2014

Three-component fermions with surface Fermi arcs in tungsten carbide journal, January 2018

Ideal Weyl points and helicoid surface states in artificial photonic crystal structures journal, January 2018

Spin-Wave Spectrum of the Quantum Ferromagnet on the Pyrochlore Lattice Lu 2 V 2 O 7 journal, July 2014

Phenomenological Evidence for the Phonon Hall Effect journal, October 2005

Novel spin lattice in Cu 3 TeO 6 : an antiferromagnetic order and domain dynamics journal, November 2005

Observation of bulk Fermi arc and polarization half charge from paired exceptional points journal, January 2018

Weyl magnons in noncoplanar stacked kagome antiferromagnets journal, March 2018

Colloquium : Topological band theory journal, June 2016

Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators journal, April 2012

Experimental observation of Weyl points journal, July 2015

Bulk and edge spin transport in topological magnon insulators journal, February 2018

Observation of the Magnon Hall Effect journal, July 2010

Double-Weyl Phonons in Transition-Metal Monosilicides journal, January 2018

Dirac Semimetal in Three Dimensions journal, April 2012

Theoretical Prediction of a Rotating Magnon Wave Packet in Ferromagnets journal, May 2011

Topological chiral magnonic edge mode in a magnonic crystal journal, May 2013

Laser-Induced Spatiotemporal Dynamics of Magnetic Films journal, November 2015

Topological photonics journal, October 2014

Observation of Weyl nodes in TaAs journal, August 2015

All-optical observation and reconstruction of spin wave dispersion journal, June 2017

Topological triplon modes and bound states in a Shastry–Sutherland magnet journal, May 2017

Magnonic Weyl semimetal and chiral anomaly in pyrochlore ferromagnets journal, June 2017

Multiple Types of Topological Fermions in Transition Metal Silicides journal, November 2017

Magnon spintronics journal, June 2015

Photonic topological boundary pumping as a probe of 4D quantum Hall physics journal, January 2018

Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets journal, December 2017

Theory of the Thermal Hall Effect in Quantum Magnets journal, February 2010

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

Antiferromagnetic spintronics journal, February 2018

Weyl magnons in breathing pyrochlore antiferromagnets journal, September 2016

Berry curvature and various thermal Hall effects journal, October 2016

Topological Phonons and Weyl Lines in Three Dimensions journal, August 2016

Colloquium: Topological insulators journal, November 2010

Topological insulator laser: Theory journal, February 2018

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal, January 2014

Thermal Hall Effect of Spin Excitations in a Kagome Magnet journal, September 2015

Magnonic triply-degenerate nodal points journal, December 2017

Discovery of a Weyl fermion semimetal and topological Fermi arcs journal, July 2015

Magnetic Order and Transitions in the Spin-web Compound Cu3TeO6 journal, January 2012

High resolution electron energy loss spectroscopy with two-dimensional energy and momentum mapping journal, August 2015

Topological quantum chemistry journal, July 2017

Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb) journal, May 2012

Edge states in topological magnon insulators journal, July 2014

Topological Magnon Bands in a Kagome Lattice Ferromagnet journal, September 2015

Observation of three-component fermions in the topological semimetal molybdenum phosphide journal, June 2017

Topological insulator laser: Experiments journal, February 2018

Surface Phonons on GaAs(110) Measured by Inelastic Helium Atom Scattering journal, October 1987

Hall effect of triplons in a dimerized quantum magnet journal, April 2015

Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores journal, October 2016

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal, July 2016

Magnon Dirac materials journal, August 2016

Magnonic analogs of topological Dirac semimetals journal, September 2017

Copper tellurium oxides – A playground for magnetism journal, April 2018

A quantized microwave quadrupole insulator with topologically protected corner states journal, March 2018

A stable three-dimensional topological Dirac semimetal Cd3As2 journal, May 2014

Magnetic behaviors of Cu3TeO6 with multiple spin lattices journal, March 2014

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal, May 2011

Magnetic behaviors of Cu3TeO6 with multiple spin lattices journal, March 2014

Observation of three-component fermions in the topological semimetal molybdenum phosphide journal, June 2017

All-optical observation and reconstruction of spin wave dispersion journal, June 2017

Hall effect of triplons in a dimerized quantum magnet journal, April 2015

A stable three-dimensional topological Dirac semimetal Cd3As2 journal, May 2014

Topological photonics journal, October 2014

Magnon spintronics journal, June 2015

Observation of Weyl nodes in TaAs journal, August 2015

Trapped fractional charges at bulk defects in topological insulators journal, January 2021

High resolution electron energy loss spectroscopy with two-dimensional energy and momentum mapping journal, August 2015

Berry curvature and various thermal Hall effects journal, October 2016

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All-Optical Probe of Coherent Spin Waves journal, May 2002

Observation of the Magnon Hall Effect journal, July 2010

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal, January 2014

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal, July 2016

Topological magnon insulator in insulating ferromagnet
journal, April 2013

Observation of a phononic quadrupole topological insulator
journal, January 2018

Topological insulators and superconductors
journal, October 2011

Dirac materials
journal, January 2014

Three-component fermions with surface Fermi arcs in tungsten carbide
journal, January 2018

Ideal Weyl points and helicoid surface states in artificial photonic crystal structures
journal, January 2018

Spin-Wave Spectrum of the Quantum Ferromagnet on the Pyrochlore Lattice ${Lu}_{2} V_{2} O_{7}$
journal, July 2014

Phenomenological Evidence for the Phonon Hall Effect
journal, October 2005

Novel spin lattice in Cu ₃ TeO ₆ : an antiferromagnetic order and domain dynamics
journal, November 2005

Observation of bulk Fermi arc and polarization half charge from paired exceptional points
journal, January 2018

Weyl magnons in noncoplanar stacked kagome antiferromagnets
journal, March 2018

Colloquium : Topological band theory
journal, June 2016

Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
journal, April 2012

Experimental observation of Weyl points
journal, July 2015

Bulk and edge spin transport in topological magnon insulators
journal, February 2018

Observation of the Magnon Hall Effect
journal, July 2010

Double-Weyl Phonons in Transition-Metal Monosilicides
journal, January 2018

Dirac Semimetal in Three Dimensions
journal, April 2012

Theoretical Prediction of a Rotating Magnon Wave Packet in Ferromagnets
journal, May 2011

Topological chiral magnonic edge mode in a magnonic crystal
journal, May 2013

Laser-Induced Spatiotemporal Dynamics of Magnetic Films
journal, November 2015

Topological photonics
journal, October 2014

Observation of Weyl nodes in TaAs
journal, August 2015

All-optical observation and reconstruction of spin wave dispersion
journal, June 2017

Topological triplon modes and bound states in a Shastry–Sutherland magnet
journal, May 2017

Magnonic Weyl semimetal and chiral anomaly in pyrochlore ferromagnets
journal, June 2017

Multiple Types of Topological Fermions in Transition Metal Silicides
journal, November 2017

Magnon spintronics
journal, June 2015

Photonic topological boundary pumping as a probe of 4D quantum Hall physics
journal, January 2018

Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets
journal, December 2017

Theory of the Thermal Hall Effect in Quantum Magnets
journal, February 2010

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

Antiferromagnetic spintronics
journal, February 2018

Weyl magnons in breathing pyrochlore antiferromagnets
journal, September 2016

Berry curvature and various thermal Hall effects
journal, October 2016

Topological Phonons and Weyl Lines in Three Dimensions
journal, August 2016

Colloquium: Topological insulators
journal, November 2010

Topological insulator laser: Theory
journal, February 2018

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Thermal Hall Effect of Spin Excitations in a Kagome Magnet
journal, September 2015

Magnonic triply-degenerate nodal points
journal, December 2017

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Magnetic Order and Transitions in the Spin-web Compound Cu3TeO6
journal, January 2012

High resolution electron energy loss spectroscopy with two-dimensional energy and momentum mapping
journal, August 2015

Topological quantum chemistry
journal, July 2017

Dirac semimetal and topological phase transitions in $A_{3}$ Bi ( $A = Na$ , K, Rb)
journal, May 2012

Edge states in topological magnon insulators
journal, July 2014

Topological Magnon Bands in a Kagome Lattice Ferromagnet
journal, September 2015

Observation of three-component fermions in the topological semimetal molybdenum phosphide
journal, June 2017

Topological insulator laser: Experiments
journal, February 2018

Surface Phonons on GaAs(110) Measured by Inelastic Helium Atom Scattering
journal, October 1987

Hall effect of triplons in a dimerized quantum magnet
journal, April 2015

Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores
journal, October 2016

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016

Magnon Dirac materials
journal, August 2016

Magnonic analogs of topological Dirac semimetals
journal, September 2017

Copper tellurium oxides – A playground for magnetism
journal, April 2018

A quantized microwave quadrupole insulator with topologically protected corner states
journal, March 2018

A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014

Magnetic behaviors of Cu3TeO6 with multiple spin lattices
journal, March 2014

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Magnetic behaviors of Cu3TeO6 with multiple spin lattices
journal, March 2014

Observation of three-component fermions in the topological semimetal molybdenum phosphide
journal, June 2017

All-optical observation and reconstruction of spin wave dispersion
journal, June 2017

Hall effect of triplons in a dimerized quantum magnet
journal, April 2015

A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014

Topological photonics
journal, October 2014

Magnon spintronics
journal, June 2015

Observation of Weyl nodes in TaAs
journal, August 2015

Trapped fractional charges at bulk defects in topological insulators
journal, January 2021

High resolution electron energy loss spectroscopy with two-dimensional energy and momentum mapping
journal, August 2015

Berry curvature and various thermal Hall effects
journal, October 2016

Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac magnons in Noncollinear Antiferromagnets
journal, September 2017

All-Optical Probe of Coherent Spin Waves
journal, May 2002

Observation of the Magnon Hall Effect
journal, July 2010

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016

Observation of bulk Fermi arc and polarization half charge from paired exceptional points
journal, January 2018

Ideal Weyl points and helicoid surface states in artificial photonic crystal structures
journal, January 2018

Topological insulator laser: Theory
journal, February 2018