Weyl points in photonic-crystal superlattices

Bravo-Abad, Jorge; Lu, Ling; Fu, Liang; Buljan, Hrvoje; Soljačić, Marin

doi:10.1088/2053-1583/2/3/034013

Weyl points in photonic-crystal superlattices

Journal Article · Wed Aug 19 00:00:00 EDT 2015 · 2D Materials

DOI:https://doi.org/10.1088/2053-1583/2/3/034013· OSTI ID:1370993

Bravo-Abad, Jorge ^[1]; Lu, Ling ^[2]; Fu, Liang ^[2]; Buljan, Hrvoje ^[3]; Soljačić, Marin ^[2]

Univ. Autónoma de Madrid, Madrid (Spain). Dept. de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC)
Massachusets Inst. of Technology, Cambridge, MA (United States). Dept. of Physics
Univ. of Zagreb, Bijenička, Zagreb (Croatia). Dept. of Physics

In this paper, we show that Weyl points can be realized in all-dielectric superlattices based on three-dimensional (3D) layered photonic crystals. Our approach is based on creating an inversion-breaking array of weakly-coupled planar defects embedded in a periodic layered structure with a large omnidirectional photonic band gap. Using detailed band structure calculations and tight-binding theory arguments, we demonstrate that this class of layered systems can be tailored to display 3D linear point degeneracies between two photonic bands, without breaking time-reversal symmetry and using a configuration that is readily-accessible experimentally. These results open new prospects for the observation of Weyl points in the near-infrared and optical regimes and for the application of Weyl-physics in integrated photonic devices.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001299; SC0001299

OSTI ID:: 1370993

Alternate ID(s):: OSTI ID: 22542573

Journal Information:: 2D Materials, Journal Name: 2D Materials Journal Issue: 3 Vol. 2; ISSN 2053-1583

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Trapped photons at a Dirac point: a new horizon for photonic crystals: Trapped photons at a Dirac point: a new horizon for photonic crystals Xie, Kang; Jiang, Haiming; Boardman, Allan D. Laser & Photonics Reviews, Vol. 8, Issue 4 https://doi.org/10.1002/lpor.201300186	journal	February 2014
Elektron und Gravitation. I Weyl, Hermann Zeitschrift f�r Physik, Vol. 56, Issue 5-6 https://doi.org/10.1007/BF01339504	journal	May 1929
A three-dimensional optical photonic crystal with designed point defects Qi, Minghao; Lidorikis, Elefterios; Rakich, Peter T. Nature, Vol. 429, Issue 6991 https://doi.org/10.1038/nature02575	journal	June 2004
Observation of unidirectional backscattering-immune topological electromagnetic states Wang, Zheng; Chong, Yidong; Joannopoulos, J. D. Nature, Vol. 461, Issue 7265 https://doi.org/10.1038/nature08293	journal	October 2009
Van der Waals heterostructures Geim, A. K.; Grigorieva, I. V. Nature, Vol. 499, Issue 7459, p. 419-425 https://doi.org/10.1038/nature12385	journal	July 2013
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8373	journal	June 2015
The rise of graphene Geim, A. K.; Novoselov, K. S. Nature Materials, Vol. 6, Issue 3, p. 183-191 https://doi.org/10.1038/nmat1849	journal	March 2007
Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials Huang, Xueqin; Lai, Yun; Hang, Zhi Hong Nature Materials, Vol. 10, Issue 8, p. 582-586 https://doi.org/10.1038/nmat3030	journal	May 2011
Observation of unconventional edge states in ‘photonic graphene’ Plotnik, Yonatan; Rechtsman, Mikael C.; Song, Daohong Nature Materials, Vol. 13, Issue 1 https://doi.org/10.1038/nmat3783	journal	November 2013
Artificial honeycomb lattices for electrons, atoms and photons Polini, Marco; Guinea, Francisco; Lewenstein, Maciej Nature Nanotechnology, Vol. 8, Issue 9 https://doi.org/10.1038/nnano.2013.161	journal	September 2013
Graphene photonics and optoelectronics Bonaccorso, F.; Sun, Z.; Hasan, T. Nature Photonics, Vol. 4, Issue 9 https://doi.org/10.1038/nphoton.2010.186	journal	August 2010
Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures Rechtsman, Mikael C.; Zeuner, Julia M.; Tünnermann, Andreas Nature Photonics, Vol. 7, Issue 2 https://doi.org/10.1038/nphoton.2012.302	journal	December 2012
Realization of an all-dielectric zero-index optical metamaterial Moitra, Parikshit; Yang, Yuanmu; Anderson, Zachary Nature Photonics, Vol. 7, Issue 10, p. 791-795 https://doi.org/10.1038/nphoton.2013.214	journal	August 2013
Weyl points and line nodes in gyroid photonic crystals Lu, Ling; Fu, Liang; Joannopoulos, John D. Nature Photonics, Vol. 7, Issue 4 https://doi.org/10.1038/nphoton.2013.42	journal	March 2013
Topological photonics Lu, Ling; Joannopoulos, John D.; Soljačić, Marin Nature Photonics, Vol. 8, Issue 11 https://doi.org/10.1038/nphoton.2014.248	journal	October 2014
Three-dimensionally periodic dielectric layered structure with omnidirectional photonic band gap Johnson, Steven G.; Joannopoulos, J. D. Applied Physics Letters, Vol. 77, Issue 22, p. 3490-3492 https://doi.org/10.1063/1.1328369	journal	November 2000
Enabling single-mode behavior over large areas with photonic Dirac cones Bravo-Abad, J.; Joannopoulos, J. D.; Soljacic, M. Proceedings of the National Academy of Sciences, Vol. 109, Issue 25, p. 9761-9765 https://doi.org/10.1073/pnas.1207335109	journal	June 2012
Extremal transmission at the Dirac point of a photonic band structure Sepkhanov, R. A.; Bazaliy, Ya. B.; Beenakker, C. W. J. Physical Review A, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevA.75.063813	journal	June 2007
Conical diffraction in honeycomb lattices Ablowitz, Mark J.; Nixon, Sean D.; Zhu, Yi Physical Review A, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevA.79.053830	journal	May 2009
Nonlinear wave dynamics in honeycomb lattices Bahat-Treidel, Omri; Segev, Mordechai Physical Review A, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevA.84.021802	journal	August 2011
P T -symmetry in honeycomb photonic lattices Szameit, Alexander; Rechtsman, Mikael C.; Bahat-Treidel, Omri Physical Review A, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevA.84.021806	journal	August 2011
Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap Povinelli, M. L.; Johnson, Steven G.; Fan, Shanhui Physical Review B, Vol. 64, Issue 7 https://doi.org/10.1103/PhysRevB.64.075313	journal	July 2001
Photonic analog of graphene model and its extension: Dirac cone, symmetry, and edge states Ochiai, Tetsuyuki; Onoda, Masaru Physical Review B, Vol. 80, Issue 15 https://doi.org/10.1103/PhysRevB.80.155103	journal	October 2009
Dirac point and edge states in a microwave realization of tight-binding graphene-like structures Kuhl, U.; Barkhofen, S.; Tudorovskiy, T. Physical Review B, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevB.82.094308	journal	September 2010
Dielectric function of a -Si:H based on local network structures Kageyama, Shota; Akagawa, Masataka; Fujiwara, Hiroyuki Physical Review B, Vol. 83, Issue 19 https://doi.org/10.1103/PhysRevB.83.195205	journal	May 2011
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin Physical Review B, Vol. 83, Issue 20 https://doi.org/10.1103/PhysRevB.83.205101	journal	May 2011
Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard Bittner, S.; Dietz, B.; Miski-Oglu, M. Physical Review B, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevB.85.064301	journal	February 2012
Topological electronic structure and Weyl semimetal in the TlBiSe 2 class of semiconductors Singh, Bahadur; Sharma, Ashutosh; Lin, H. Physical Review B, Vol. 86, Issue 11 https://doi.org/10.1103/PhysRevB.86.115208	journal	September 2012
Prediction of a Weyl semimetal in Hg 1 − x − y Cd x Mn y Te Bulmash, Daniel; Liu, Chao-Xing; Qi, Xiao-Liang Physical Review B, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevB.89.081106	journal	February 2014
Weyl semimetals from noncentrosymmetric topological insulators Liu, Jianpeng; Vanderbilt, David Physical Review B, Vol. 90, Issue 15 https://doi.org/10.1103/PhysRevB.90.155316	journal	October 2014
Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry Haldane, F. D. M.; Raghu, S. Physical Review Letters, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevLett.100.013904	journal	January 2008
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal Wang, Zheng; Chong, Y. D.; Joannopoulos, John D. Physical Review Letters, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevLett.100.013905	journal	January 2008
Observing Zitterbewegung for Photons near the Dirac Point of a Two-Dimensional Photonic Crystal Zhang, Xiangdong Physical Review Letters, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevLett.100.113903	journal	March 2008
Experimental Observation of Strong Edge Effects on the Pseudodiffusive Transport of Light in Photonic Graphene Zandbergen, Sander R.; de Dood, Michiel J. A. Physical Review Letters, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevLett.104.043903	journal	January 2010
Klein Tunneling in Deformed Honeycomb Lattices Bahat-Treidel, Omri; Peleg, Or; Grobman, Mark Physical Review Letters, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevLett.104.063901	journal	February 2010
Weyl Semimetal in a Topological Insulator Multilayer Burkov, A. A.; Balents, Leon Physical Review Letters, Vol. 107, Issue 12 https://doi.org/10.1103/PhysRevLett.107.127205	journal	September 2011
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 Xu, Gang; Weng, Hongming; Wang, Zhijun Physical Review Letters, Vol. 107, Issue 18 https://doi.org/10.1103/PhysRevLett.107.186806	journal	October 2011
Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry Fang, Chen; Gilbert, Matthew J.; Dai, Xi Physical Review Letters, Vol. 108, Issue 26 https://doi.org/10.1103/PhysRevLett.108.266802	journal	June 2012
Topological Transition of Dirac Points in a Microwave Experiment Bellec, Matthieu; Kuhl, Ulrich; Montambaux, Gilles Physical Review Letters, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevLett.110.033902	journal	January 2013
Dirac-like Plasmons in Honeycomb Lattices of Metallic Nanoparticles Weick, Guillaume; Woollacott, Claire; Barnes, William L. Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.106801	journal	March 2013
Topological Creation and Destruction of Edge States in Photonic Graphene Rechtsman, Mikael C.; Plotnik, Yonatan; Zeuner, Julia M. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.103901	journal	September 2013
Weyl Points in Three-Dimensional Optical Lattices: Synthetic Magnetic Monopoles in Momentum Space Dubček, Tena; Kennedy, Colin J.; Lu, Ling Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.225301	journal	June 2015
Polarization-Independent Linear Waveguides in 3D Photonic Crystals Lidorikis, E.; Povinelli, M. L.; Johnson, S. G. Physical Review Letters, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevLett.91.023902	journal	July 2003
Conical Diffraction and Gap Solitons in Honeycomb Photonic Lattices Peleg, Or; Bartal, Guy; Freedman, Barak Physical Review Letters, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevLett.98.103901	journal	March 2007
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides Weng, Hongming; Fang, Chen; Fang, Zhong Physical Review X, Vol. 5, Issue 1 https://doi.org/10.1103/physrevx.5.011029	journal	March 2015
Experimental observation of Weyl points Lu, L.; Wang, Z.; Ye, D. Science, Vol. 349, Issue 6248 https://doi.org/10.1126/science.aaa9273	journal	July 2015
Discovery of a Weyl fermion semimetal and topological Fermi arcs Xu, S. -Y.; Belopolski, I.; Alidoust, N. Science, Vol. 349, Issue 6248 https://doi.org/10.1126/science.aaa9297	journal	July 2015
Topological Weyl semi-metal from a lattice model Delplace, Pierre; Li, Jian; Carpentier, David EPL (Europhysics Letters), Vol. 97, Issue 6 https://doi.org/10.1209/0295-5075/97/67004	journal	March 2012
Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis Johnson, Steven; Joannopoulos, John Optics Express, Vol. 8, Issue 3, p. 173-190 https://doi.org/10.1364/OE.8.000173	journal	January 2001
Flat photonic surface bands pinned between Dirac points Jukić, Dario; Buljan, Hrvoje; Lee, Dung-Hai Optics Letters, Vol. 37, Issue 24 https://doi.org/10.1364/OL.37.005262	journal	January 2012
Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point Chua, Song-Liang; Lu, Ling; Bravo-Abad, Jorge Optics Letters, Vol. 39, Issue 7 https://doi.org/10.1364/OL.39.002072	journal	January 2014

Cited By (14)

Advances in synthetic gauge fields for light through dynamic modulation Hey, Daniel; Li, Enbang Royal Society Open Science, Vol. 5, Issue 4 https://doi.org/10.1098/rsos.172447	journal	April 2018
Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension Lin, Qian; Xiao, Meng; Yuan, Luqi Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13731	journal	December 2016
Experimental observation of optical Weyl points and Fermi arc-like surface states Noh, Jiho; Huang, Sheng; Leykam, Daniel Nature Physics, Vol. 13, Issue 6 https://doi.org/10.1038/nphys4072	journal	March 2017
Weyl points and Fermi arcs in a chiral phononic crystal Li, Feng; Huang, Xueqin; Lu, Jiuyang Nature Physics, Vol. 14, Issue 1 https://doi.org/10.1038/nphys4275	journal	October 2017
Soft self-assembly of Weyl materials for light and sound Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun Proceedings of the National Academy of Sciences, Vol. 115, Issue 16 https://doi.org/10.1073/pnas.1720828115	journal	April 2018
Three-dimensional photonic Dirac points stabilized by point group symmetry Wang, HaiXiao; Xu, Lin; Chen, HuanYang Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/physrevb.93.235155	journal	June 2016
Multiple Weyl points and the sign change of their topological charges in woodpile photonic crystals Chang, Ming-Li; Xiao, Meng; Chen, Wen-Jie Physical Review B, Vol. 95, Issue 12 https://doi.org/10.1103/physrevb.95.125136	journal	March 2017
Hyperbolic Weyl Point in Reciprocal Chiral Metamaterials Xiao, Meng; Lin, Qian; Fan, Shanhui Physical Review Letters, Vol. 117, Issue 5 https://doi.org/10.1103/physrevlett.117.057401	journal	July 2016
Optical Interface States Protected by Synthetic Weyl Points Wang, Qiang; Xiao, Meng; Liu, Hui Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/physrevx.7.031032	journal	August 2017
Topological photonics Ozawa, Tomoki; Price, Hannah M.; Amo, Alberto Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/revmodphys.91.015006	journal	March 2019
Photonics meets topology Xie, Bi-Ye; Wang, Hong-Fei; Zhu, Xue-Yi Optics Express, Vol. 26, Issue 19 https://doi.org/10.1364/oe.26.024531	journal	January 2018
Synthetic dimension in photonics Yuan, Luqi; Lin, Qian; Xiao, Meng Optica, Vol. 5, Issue 11 https://doi.org/10.1364/optica.5.001396	journal	January 2018
Soft self-assembly of Weyl materials for light and sound Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun arXiv https://doi.org/10.48550/arxiv.1711.11019	text	January 2017
Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation Hey, Daniel; Li, Enbang arXiv https://doi.org/10.48550/arxiv.1803.01977	preprint	January 2018

Similar Records

Weyl points and line nodes in gyroid photonic crystals

Journal Article · Sun Mar 17 00:00:00 EDT 2013 · Nature Photonics · OSTI ID:1381969

Observation of Quadratic (Charge-2) Weyl Point Splitting in Near-Infrared Photonic Crystals

Journal Article · Thu Dec 09 23:00:00 EST 2021 · Laser & Photonics Reviews · OSTI ID:1841983

Experimental observation of Weyl points

Journal Article · Wed Aug 07 00:00:00 EDT 2019 · Science · OSTI ID:1370988

Related Subjects

14 SOLAR ENERGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Weyl points
charge transport
defects
materials and chemistry by design
mechanical behavior
optics
phonons
solar (photovoltaic)
solar (thermal)
solid state lighting
spin dynamics
synthesis (novel materials)
synthesis (scalable processing)
synthesis (self-assembly)
thermal conductivity
thermoelectric
three-dimensional photonic crystals
topological photonics

Weyl points in photonic-crystal superlattices

Citation Formats

References (52)

Cited By (14)

Similar Records

Related Subjects