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Title: Experimental observation of Weyl points

Abstract

The massless solutions to the Dirac equation are described by the so-called Weyl Hamiltonian. The Weyl equation requires a particle to have linear dispersion in all three dimensions while being doubly degenerate at a single momentum point. These Weyl points are topological monopoles of quantized Berry flux exhibiting numerous unusual properties. We performed angle-resolved microwave transmission measurements through a double-gyroid photonic crystal with inversion-breaking where Weyl points have been theoretically predicted to occur. The excited bulk states show two linear dispersion bands touching at four isolated points in the three-dimensional Brillouin zone, indicating the observation of Weyl points. Here, we pave the way to a variety of photonic topological phenomena in three dimensions.

Authors:
 [1];  [2];  [2];  [2];  [1];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  2. Zhejiang Univ., Hangzhou, Zhejiang (China). Lab. of Applied Research on Electromagnetics (ARE)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1370988
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Science
Additional Journal Information:
Journal Volume: 349; Journal Issue: 6248; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 0036-8075
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
14 SOLAR ENERGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)

Citation Formats

Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., and Soljačić, Marin. Experimental observation of Weyl points. United States: N. p., 2019. Web. doi:10.1126/science.aaa9273.
Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., & Soljačić, Marin. Experimental observation of Weyl points. United States. doi:10.1126/science.aaa9273.
Lu, Ling, Wang, Zhiyu, Ye, Dexin, Ran, Lixin, Fu, Liang, Joannopoulos, John D., and Soljačić, Marin. Wed . "Experimental observation of Weyl points". United States. doi:10.1126/science.aaa9273.
@article{osti_1370988,
title = {Experimental observation of Weyl points},
author = {Lu, Ling and Wang, Zhiyu and Ye, Dexin and Ran, Lixin and Fu, Liang and Joannopoulos, John D. and Soljačić, Marin},
abstractNote = {The massless solutions to the Dirac equation are described by the so-called Weyl Hamiltonian. The Weyl equation requires a particle to have linear dispersion in all three dimensions while being doubly degenerate at a single momentum point. These Weyl points are topological monopoles of quantized Berry flux exhibiting numerous unusual properties. We performed angle-resolved microwave transmission measurements through a double-gyroid photonic crystal with inversion-breaking where Weyl points have been theoretically predicted to occur. The excited bulk states show two linear dispersion bands touching at four isolated points in the three-dimensional Brillouin zone, indicating the observation of Weyl points. Here, we pave the way to a variety of photonic topological phenomena in three dimensions.},
doi = {10.1126/science.aaa9273},
journal = {Science},
number = 6248,
volume = 349,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
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This content will become publicly available on August 7, 2020
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Works referenced in this record:

A Bicontinuous Double Gyroid Hybrid Solar Cell
journal, August 2009

  • Crossland, Edward J. W.; Kamperman, Marleen; Nedelcu, Mihaela
  • Nano Letters, Vol. 9, Issue 8
  • DOI: 10.1021/nl803174p

Prediction of a Weyl semimetal in Hg 1 x y Cd x Mn y Te
journal, February 2014


Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point
journal, January 2014

  • Chua, Song-Liang; Lu, Ling; Bravo-Abad, Jorge
  • Optics Letters, Vol. 39, Issue 7
  • DOI: 10.1364/OL.39.002072

Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods
journal, July 1994


Direct creation of three-dimensional photonic crystals by a top-down approach
journal, August 2009

  • Takahashi, Shigeki; Suzuki, Katsuyoshi; Okano, Makoto
  • Nature Materials, Vol. 8, Issue 9
  • DOI: 10.1038/nmat2507

Photonic Floquet topological insulators
journal, April 2013

  • Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
  • Nature, Vol. 496, Issue 7444
  • DOI: 10.1038/nature12066

Elektron und Gravitation. I
journal, May 1929


Weyl points and line nodes in gyroid photonic crystals
journal, March 2013


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


Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011


Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4
journal, October 2011


Imaging topological edge states in silicon photonics
journal, October 2013


Topological Crystalline Insulators
journal, March 2011


Dirac Semimetal in Three Dimensions
journal, April 2012


Weyl semimetals from noncentrosymmetric topological insulators
journal, October 2014


Miniature chiral beamsplitter based on gyroid photonic crystals
journal, September 2013


Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
journal, May 2015


Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals
journal, October 2014

  • Potter, Andrew C.; Kimchi, Itamar; Vishwanath, Ashvin
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6161

Photonic band structure: The face-centered-cubic case employing nonspherical atoms
journal, October 1991


The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983


Accidental Degeneracy in the Energy Bands of Crystals
journal, August 1937


Topological photonics
journal, October 2014


Measurement of photonic band structure in a two-dimensional periodic dielectric array
journal, March 1992


Fabrication and characterization of three-dimensional biomimetic chiral composites
journal, January 2011

  • Turner, Mark D.; Schröder-Turk, Gerd E.; Gu, Min
  • Optics Express, Vol. 19, Issue 10
  • DOI: 10.1364/OE.19.010001

Charge Transport in Weyl Semimetals
journal, January 2012


Observation of unidirectional backscattering-immune topological electromagnetic states
journal, October 2009

  • Wang, Zheng; Chong, Yidong; Joannopoulos, J. D.
  • Nature, Vol. 461, Issue 7265
  • DOI: 10.1038/nature08293

Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
journal, August 2011


Recent developments in transport phenomena in Weyl semimetals
journal, November 2013


Optical Broadband Angular Selectivity
journal, March 2014


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


    Works referencing / citing this record:

    Metasurfaces Atop Metamaterials: Surface Morphology Induces Linear Dichroism in Gyroid Optical Metamaterials
    journal, November 2018

    • Dolan, James A.; Dehmel, Raphael; Demetriadou, Angela
    • Advanced Materials, Vol. 31, Issue 2
    • DOI: 10.1002/adma.201803478

    A magnetic topological semimetal Sr1−yMn1−zSb2 (y, z < 0.1)
    journal, July 2017

    • Liu, J. Y.; Hu, J.; Zhang, Q.
    • Nature Materials, Vol. 16, Issue 9
    • DOI: 10.1038/nmat4953

    Floquet Weyl Magnons in Three-Dimensional Quantum Magnets
    journal, July 2018


    Topological protection of two-photon quantum correlation on a photonic chip
    journal, January 2019