Three-Dimensional Chiral Lattice Fermion in Floquet Systems

Sun, Xiao -Qi; Xiao, Meng; Bzdušek, Tomáš; Zhang, Shou -Cheng; Fan, Shanhui

doi:10.1103/physrevlett.121.196401

Title: Three-Dimensional Chiral Lattice Fermion in Floquet Systems

Journal Article · 07 November 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.196401 · OSTI ID:1490073

Sun, Xiao -Qi ^[1]; Xiao, Meng ^[1]; Bzdušek, Tomáš ^[1]; Zhang, Shou -Cheng ^[1]; Fan, Shanhui ^[1]

Stanford Univ., Stanford, CA (United States)

Here, we show that the Nielsen-Ninomiya no-go theorem still holds on a Floquet lattice: there is an equal number of right-handed and left-handed Weyl points in a three-dimensional Floquet lattice. However, in the adiabatic limit, where the time evolution of the low-energy subspace is decoupled from the high-energy subspace, we show that the bulk dynamics in the low-energy subspace can be described by Floquet bands with extra left- or right-handed Weyl points, despite the no-go theorem. Assuming adiabatic evolution of two bands, we show that the difference of the number of right-handed and left-handed Weyl points equals twice the winding number of the adiabatic Floquet operator over the Brillouin zone. Based on these findings, we propose a realization of purely left- or right-handed Weyl particles on a 3D lattice using a Hamiltonian obtained through dimensional reduction of a four-dimensional quantum Hall system. We argue that the breakdown of the adiabatic approximation on the surface facilitates unusual closed orbits of wave packets in an applied magnetic field, which traverse alternatively through the low-energy and high-energy sector of the spectrum.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

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

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1490073

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Topological characterization of periodically-driven quantum systems Kitagawa, Takuya; Berg, Erez; Rudner, Mark arXiv https://doi.org/10.48550/arxiv.1010.6126	text	January 2010
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Optical response of graphene under intense terahertz fields Zhou, Y.; Wu, M. W. arXiv https://doi.org/10.48550/arxiv.1103.4704	text	January 2011
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Four-dimensional photonic lattices and discrete tesseract solitons Jukić, D.; Buljan, H. arXiv https://doi.org/10.48550/arxiv.1210.4283	text	January 2012
Photonic Floquet Topological Insulators Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan arXiv https://doi.org/10.48550/arxiv.1212.3146	text	January 2012
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Electromagnetic Response of Weyl Semimetals Vazifeh, M. M.; Franz, M. arXiv https://doi.org/10.48550/arxiv.1303.5784	text	January 2013
Floquet Weyl Semimetal Induced by Off-Resonant Light Wang, Rui; Wang, Baigeng; Shen, Rui arXiv https://doi.org/10.48550/arxiv.1308.4266	text	January 2013
Recent developments in transport phenomena in Weyl semimetals Hosur, Pavan; Qi, Xiaoliang arXiv https://doi.org/10.48550/arxiv.1309.4464	text	January 2013
Floquet Topological States in Shaking Optical Lattices Zheng, Wei; Zhai, Hui arXiv https://doi.org/10.48550/arxiv.1402.4034	text	January 2014
Topological Polaritons Karzig, Torsten; Bardyn, Charles-Edouard; Lindner, Netanel arXiv https://doi.org/10.48550/arxiv.1406.4156	text	January 2014
Topological index for periodically driven time-reversal invariant 2D systems Carpentier, David; Delplace, Pierre; Fruchart, Michel arXiv https://doi.org/10.48550/arxiv.1407.7747	text	January 2014
Measurement of a topological edge invariant in a microwave network Hu, Wenchao; Pillay, Jason Cornelius; Wu, Kan arXiv https://doi.org/10.48550/arxiv.1408.1808	text	January 2014
Plasmon mode as a detection of the chiral anomaly in Weyl semimetals Zhou, Jianhui; Chang, Hao-Ran; Xiao, Di arXiv https://doi.org/10.48550/arxiv.1408.4876	text	January 2014
Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals Burkov, A. A. arXiv https://doi.org/10.48550/arxiv.1409.0013	text	January 2014
Fate of many-body localization under periodic driving Lazarides, Achilleas; Das, Arnab; Moessner, Roderich arXiv https://doi.org/10.48550/arxiv.1410.3455	text	January 2014
Periodically-driven quantum matter: the case of resonant modulations Goldman, N.; Dalibard, J.; Aidelsburger, M. arXiv https://doi.org/10.48550/arxiv.1410.8425	text	January 2014
Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs Xu, Su-Yang; Belopolski, Ilya; Alidoust, Nasser arXiv https://doi.org/10.48550/arxiv.1502.03807	text	January 2015
Experimental discovery of Weyl semimetal TaAs Lv, B. Q.; Weng, H. M.; Fu, B. B. arXiv https://doi.org/10.48550/arxiv.1502.04684	text	January 2015
Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs Huang, Xiaochun; Zhao, Lingxiao; Long, Yujia arXiv https://doi.org/10.48550/arxiv.1503.01304	text	January 2015
Helical Spin Order from Topological Dirac and Weyl Semimetals Sun, Xiao-Qi; Zhang, Shou-Cheng; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1504.07178	text	January 2015
Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime Yuan, Luqi; Fan, Shanhui arXiv https://doi.org/10.48550/arxiv.1504.07299	text	January 2015
Probing topological protection using a designer surface plasmon structure Gao, Fei; Gao, Zhen; Shi, Xihang arXiv https://doi.org/10.48550/arxiv.1504.07809	text	January 2015
Helicity protected ultrahigh mobility Weyl fermions in NbP Wang, Zhen; Zheng, Yi; Shen, Zhixuan arXiv https://doi.org/10.48550/arxiv.1506.00924	text	January 2015
Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering Bi, Ren; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1508.04896	text	January 2015
When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals Chan, Ching-Kit; Lee, Patrick A.; Burch, Kenneth S. arXiv https://doi.org/10.48550/arxiv.1509.05400	text	January 2015
Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs Xu, Su-Yang; Belopolski, Ilya; Sanchez, Daniel S. arXiv https://doi.org/10.48550/arxiv.1510.08430	text	January 2015
Photonic gauge potential in a system with a synthetic frequency dimension Yuan, Luqi; Shi, Yu; Fan, Shanhui arXiv https://doi.org/10.48550/arxiv.1511.04612	text	January 2015
Quantum Oscillations in Weyl and Dirac Semimetal Ultra-Thin Films Bulmash, Daniel; Qi, Xiao-Liang arXiv https://doi.org/10.48550/arxiv.1512.03437	text	January 2015
Selective scattering between Floquet-Bloch and Volkov states in a topological insulator Mahmood, Fahad; Chan, Ching-Kit; Alpichshev, Zhanybek arXiv https://doi.org/10.48550/arxiv.1512.05714	text	January 2015
Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals Zhang, Yi; Bulmash, Daniel; Hosur, Pavan arXiv https://doi.org/10.48550/arxiv.1512.06133	text	January 2015
Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators Leykam, Daniel; Rechtsman, M. C.; Chong, Y. D. arXiv https://doi.org/10.48550/arxiv.1601.01764	text	January 2016
Type-II Weyl cone transitions in driven semimetals Chan, Ching-Kit; Oh, Yun-Tak; Han, Jung Hoon arXiv https://doi.org/10.48550/arxiv.1605.05696	text	January 2016
Tunable point nodes from line node semimetals via application of light Narayan, Awadhesh arXiv https://doi.org/10.48550/arxiv.1607.02503	text	January 2016
Floquet Semimetal with Floquet-band Holonomy Zhou, Longwen; Chen, Chong; Gong, Jiangbin arXiv https://doi.org/10.48550/arxiv.1608.08719	text	January 2016
Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects Yao, Shunyu; Yan, Zhongbo; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1708.05993	text	January 2017

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Floquet Chiral Magnetic Effect Higashikawa, Sho; Nakagawa, Masaya; Ueda, Masahito Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/physrevlett.123.066403	journal	August 2019

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