Multimode One-Way Waveguides of Large Chern Numbers

Skirlo, Scott A.; Lu, Ling; Soljačić, Marin

doi:10.1103/PhysRevLett.113.113904

Title: Multimode One-Way Waveguides of Large Chern Numbers

Journal Article · Fri Sep 12 00:00:00 EDT 2014 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.113.113904· OSTI ID:1210647

Skirlo, Scott A. ^[1]; Lu, Ling ^[1]; Soljačić, Marin ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics

Current experimental realizations of the quantum anomalous Hall phase in both electronic and photonic systems have been limited to a Chern number of one. In photonics, this corresponds to a single-mode one-way edge waveguide. We predict quantum anomalous Hall phases in photonic crystals with large Chern numbers of 2, 3, and 4. These new topological phases were found by simultaneously gapping multiple Dirac and quadratic points. We demonstrate a continuously tunable power splitter as a possible application of multimode one-way waveguides. All our findings are readily realizable at microwave frequencies.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); 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); National Science Foundation (NSF); US Army Research Office (ARO)

Grant/Contract Number:: SC0001299; FG02-09ER46577; DMR-0819762; W911NF-13-D-0001

OSTI ID:: 1210647

Alternate ID(s):: OSTI ID: 1180423

Journal Information:: Physical Review Letters, Vol. 113, Issue 11; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 175 works

Citation information provided by
Web of Science

References (38)

Experimental Realization of Self-Guiding Unidirectional Electromagnetic Edge States Poo, Yin; Wu, Rui-xin; Lin, Zhifang Physical Review Letters, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevLett.106.093903	journal	March 2011
Unidirectional channel-drop filter by one-way gyromagnetic photonic crystal waveguides Fu, Jin-Xin; Lian, Jin; Liu, Rong-Juan Applied Physics Letters, Vol. 98, Issue 21 https://doi.org/10.1063/1.3593027	journal	May 2011
Left-handed and right-handed one-way edge modes in a gyromagnetic photonic crystal He, Cheng; Chen, Xiao-Lin; Lu, Ming-Hui Journal of Applied Physics, Vol. 107, Issue 12 https://doi.org/10.1063/1.3374470	journal	June 2010
Local density of states of chiral Hall edge states in gyrotropic photonic clusters Asatryan, Ara A.; Botten, Lindsay C.; Fang, Kejie Physical Review B, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevB.88.035127	journal	July 2013
Tunable one-way cross-waveguide splitter based on gyromagnetic photonic crystal He, Cheng; Chen, Xiao-Lin; Lu, Ming-Hui Applied Physics Letters, Vol. 96, Issue 11 https://doi.org/10.1063/1.3358386	journal	March 2010
One-way edge mode in a gyromagnetic photonic crystal slab Liu, Kexin; Shen, Linfang; He, Sailing Optics Letters, Vol. 37, Issue 19 https://doi.org/10.1364/OL.37.004110	journal	January 2012
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator Chang, C. -Z.; Zhang, J.; Feng, X. Science, Vol. 340, Issue 6129 https://doi.org/10.1126/science.1234414	journal	March 2013
Topological States and Adiabatic Pumping in Quasicrystals Kraus, Yaacov E.; Lahini, Yoav; Ringel, Zohar Physical Review Letters, Vol. 109, Issue 10 https://doi.org/10.1103/PhysRevLett.109.106402	journal	September 2012
Photonic Floquet topological insulators Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan Nature, Vol. 496, Issue 7444 https://doi.org/10.1038/nature12066	journal	April 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
Robust one-way modes in gyromagnetic photonic crystal waveguides with different interfaces Fu, Jin-Xin; Liu, Rong-Juan; Li, Zhi-Yuan Applied Physics Letters, Vol. 97, Issue 4 https://doi.org/10.1063/1.3470873	journal	July 2010
Highly efficient photonic-crystal splitters based on one-way waveguiding Wang, Zhuoyuan; Shen, Linfang; Yu, Zaihe Journal of the Optical Society of America B, Vol. 30, Issue 1 https://doi.org/10.1364/JOSAB.30.000173	journal	December 2012
Microscopic theory of photonic one-way edge mode Fang, Kejie; Yu, Zongfu; Fan, Shanhui Physical Review B, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevB.84.075477	journal	August 2011
Robust optical delay lines with topological protection Hafezi, Mohammad; Demler, Eugene A.; Lukin, Mikhail D. Nature Physics, Vol. 7, Issue 11 https://doi.org/10.1038/nphys2063	journal	August 2011
Large-Chern-Number Quantum Anomalous Hall Effect in Thin-Film Topological Crystalline Insulators Fang, Chen; Gilbert, Matthew J.; Bernevig, B. Andrei Physical Review Letters, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRevLett.112.046801	journal	January 2014
Realizing effective magnetic field for photons by controlling the phase of dynamic modulation Fang, Kejie; Yu, Zongfu; Fan, Shanhui Nature Photonics, Vol. 6, Issue 11 https://doi.org/10.1038/nphoton.2012.236	journal	October 2012
Edge mode in nonreciprocal photonic crystal waveguide: manipulating the unidirectional electromagnetic pulse dynamically Zang, Xiaofei; Jiang, Chun Journal of the Optical Society of America B, Vol. 28, Issue 3 https://doi.org/10.1364/JOSAB.28.000554	journal	January 2011
Photonic topological insulators Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong Nature Materials, Vol. 12, Issue 3 https://doi.org/10.1038/nmat3520	journal	December 2012
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevLett.61.2015	journal	October 1988
Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi Journal of the Physical Society of Japan, Vol. 74, Issue 6 https://doi.org/10.1143/JPSJ.74.1674	journal	June 2005
Effective theory of quadratic degeneracies Chong, Y. D.; Wen, Xiao-Gang; Soljačić, Marin Physical Review B, Vol. 77, Issue 23 https://doi.org/10.1103/PhysRevB.77.235125	journal	June 2008
Quantum Anomalous Hall Effect with Higher Plateaus Wang, Jing; Lian, Biao; Zhang, Haijun Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.136801	journal	September 2013
Experimental demonstration of one-way slow wave in waveguide involving gyromagnetic photonic crystals Yang, Yan; Poo, Yin; Wu, Rui-xin Applied Physics Letters, Vol. 102, Issue 23 https://doi.org/10.1063/1.4809956	journal	June 2013
Chern number and edge states in the integer quantum Hall effect Hatsugai, Yasuhiro Physical Review Letters, Vol. 71, Issue 22 https://doi.org/10.1103/PhysRevLett.71.3697	journal	November 1993
Analogs of quantum-Hall-effect edge states in photonic crystals Raghu, S.; Haldane, F. D. M. Physical Review A, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevA.78.033834	journal	September 2008
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
One-way edge mode in a magneto-optical honeycomb photonic crystal Ao, Xianyu; Lin, Zhifang; Chan, C. T. Physical Review B, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevB.80.033105	journal	July 2009
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
Broadband circulators based on directional coupling of one-way waveguides Qiu, Wenjun; Wang, Zheng; Soljačić, Marin Optics Express, Vol. 19, Issue 22 https://doi.org/10.1364/OE.19.022248	journal	January 2011
Photonic Floquet topological insulators Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan SPIE NanoScience + Engineering, SPIE Proceedings https://doi.org/10.1117/12.2023842	conference	September 2013
Photonic Topological Insulators Rechtsman, Mikael C.; Plotnik, Yonatan; Lumer, Yaakov Optics and Photonics News, Vol. 24, Issue 12 https://doi.org/10.1364/opn.24.12.000042	journal	January 2013
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal Wang, Zheng; Chong, Y. D.; Joannopoulos, John D. arXiv https://doi.org/10.48550/arxiv.0712.1776	text	January 2007
Robust optical delay lines via topological protection Hafezi, Mohammad; Demler, Eugene; Lukin, Mikhail arXiv https://doi.org/10.48550/arxiv.1102.3256	text	January 2011
Photonic Floquet Topological Insulators Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan arXiv https://doi.org/10.48550/arxiv.1212.3146	text	January 2012
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator Chang, Cui-Zu; Zhang, Jinsong; Feng, Xiao arXiv https://doi.org/10.48550/arxiv.1605.08829	text	January 2016
Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi arXiv https://doi.org/10.48550/arxiv.cond-mat/0503172	text	January 2005
Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry Haldane, F. D. M.; Raghu, S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0503588	text	January 2005

Cited By (60)

Applications of Topological Photonics in Integrated Photonic Devices Wu, You; Li, Chong; Hu, Xiaoyong Advanced Optical Materials, Vol. 5, Issue 18 https://doi.org/10.1002/adom.201700357	journal	August 2017
Thermo-optical Tunable Ultracompact Chip-Integrated 1D Photonic Topological Insulator Li, Chong; Hu, Xiaoyong; Gao, Wei Advanced Optical Materials, Vol. 6, Issue 4 https://doi.org/10.1002/adom.201701071	journal	December 2017
Extremely Broadband Topological Surface States in a Photonic Topological Metamaterial Kim, Minkyung; Gao, Wenlong; Lee, Dasol Advanced Optical Materials, Vol. 7, Issue 20 https://doi.org/10.1002/adom.201900900	journal	July 2019
Resonant Transmission through Topological Metamaterial Grating Jia, Hongwei; Gao, Wenlong; Xiang, Yuanjiang Annalen der Physik, Vol. 530, Issue 9 https://doi.org/10.1002/andp.201800118	journal	August 2018
Topological phase transitions and Thouless pumping of light in photonic waveguide arrays: Topological phase transitions and Thouless pumping of light in photonic waveguide arrays Ke, Yongguan; Qin, Xizhou; Mei, Feng Laser & Photonics Reviews, Vol. 10, Issue 6 https://doi.org/10.1002/lpor.201600119	journal	October 2016
Universal numerical calculation method for the Berry curvature and Chern numbers of typical topological photonic crystals Wang, Chenyang; Zhang, Hongyu; Yuan, Hongyi Frontiers of Optoelectronics, Vol. 13, Issue 1 https://doi.org/10.1007/s12200-019-0963-9	journal	January 2020
Floquet topological insulators for sound Fleury, Romain; Khanikaev, Alexander B.; Alù, Andrea Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11744	journal	June 2016
Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states Chen, Wen-Jie; Xiao, Meng; Chan, C. T. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13038	journal	October 2016
Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide Chen, Wen-Jie; Jiang, Shao-Ji; Chen, Xiao-Dong Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6782	journal	December 2014
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
Synthetic gauge flux and Weyl points in acoustic systems Xiao, Meng; Chen, Wen-Jie; He, Wen-Yu Nature Physics, Vol. 11, Issue 11 https://doi.org/10.1038/nphys3458	journal	September 2015
Topological states in photonic systems Lu, Ling; Joannopoulos, John D.; Soljačić, Marin Nature Physics, Vol. 12, Issue 7 https://doi.org/10.1038/nphys3796	journal	June 2016
Topological light-trapping on a dislocation Li, Fei-Fei; Wang, Hai-Xiao; Xiong, Zhan Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04861-x	journal	June 2018
Robust temporal pumping in a magneto-mechanical topological insulator Grinberg, Inbar Hotzen; Lin, Mao; Harris, Cameron Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-14804-0	journal	February 2020
Two-dimensional topological photonics Khanikaev, Alexander B.; Shvets, Gennady Nature Photonics, Vol. 11, Issue 12 https://doi.org/10.1038/s41566-017-0048-5	journal	November 2017
The Emergence of Dirac points in Photonic Crystals with Mirror Symmetry He, Wen-Yu; Chan, C. T. Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep08186	journal	February 2015
Dirac directional emission in anisotropic zero refractive index photonic crystals He, Xin-Tao; Zhong, Yao-Nan; Zhou, You Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep13085	journal	August 2015
Equivalence of electric, magnetic, and electromagnetic Chern numbers for topological photonic crystals De Nittis, Giuseppe; Lein, Max Journal of Mathematical Physics, Vol. 61, Issue 2 https://doi.org/10.1063/1.5094589	journal	February 2020
Observation of topological edge states of acoustic metamaterials at subwavelength scale Dai, Hongqing; Jiao, Junrui; Xia, Baizhan Journal of Physics D: Applied Physics, Vol. 51, Issue 17 https://doi.org/10.1088/1361-6463/aab504	journal	April 2018
Nodal-line semimetal superlattices Yokomizo, Kazuki; Yamada, Hiroaki; Murakami, Shuichi Journal of Physics: Condensed Matter, Vol. 30, Issue 50 https://doi.org/10.1088/1361-648x/aaeabe	journal	November 2018
Topological phase transition with p orbitals in the exciton-polariton honeycomb lattice Zhang, Chuanyi; Wang, Yuanxu; Zhang, Weifeng Journal of Physics: Condensed Matter, Vol. 31, Issue 33 https://doi.org/10.1088/1361-648x/ab2289	journal	June 2019
Topologically protected one-way edge mode in networks of acoustic resonators with circulating air flow Ni, Xu; He, Cheng; Sun, Xiao-Chen New Journal of Physics, Vol. 17, Issue 5 https://doi.org/10.1088/1367-2630/17/5/053016	journal	May 2015
Topological acoustic polaritons: robust sound manipulation at the subwavelength scale Yves, Simon; Fleury, Romain; Lemoult, Fabrice New Journal of Physics, Vol. 19, Issue 7 https://doi.org/10.1088/1367-2630/aa66f8	journal	July 2017
Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology Wang, Hai-Xiao; Guo, Guang-Yu; Jiang, Jian-Hua New Journal of Physics, Vol. 21, Issue 9 https://doi.org/10.1088/1367-2630/ab3f71	journal	September 2019
One-way edge modes in truncated semiconductor photonic crystal at terahertz frequencies He, Lingjuan; Shen, Linfang; Deng, Xiaohua Journal of Optics, Vol. 21, Issue 6 https://doi.org/10.1088/2040-8986/ab1bcd	journal	May 2019
Ultra-subwavelength focusing and giant magnetic-field enhancement in a low-loss one-way waveguide based on remanence Xu, Jie; Deng, Xiaohua; Zhang, Hang Journal of Optics, Vol. 22, Issue 2 https://doi.org/10.1088/2040-8986/ab68ef	journal	January 2020
Floquet engineering of exotic topological phases in systems of cold atoms Liu, Hui; Xiong, Tian-Shi; Zhang, Wei Physical Review A, Vol. 100, Issue 2 https://doi.org/10.1103/physreva.100.023622	journal	August 2019
Topological Edge State in the Two-Dimensional Stampfli-Triangle Photonic Crystals Yan, Bei; Xie, Jianlan; Liu, Exian Physical Review Applied, Vol. 12, Issue 4 https://doi.org/10.1103/physrevapplied.12.044004	journal	October 2019
Floquet engineering with particle swarm optimization: Maximizing topological invariants Zhang, Shikun; Gong, Jiangbin Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235452	journal	December 2019
Large Chern-number topological superfluids in a coupled-layer system Huang, Beibing; Chan, Chun Fai; Gong, Ming Physical Review B, Vol. 91, Issue 13 https://doi.org/10.1103/physrevb.91.134512	journal	April 2015
Towards large-Chern-number topological phases by periodic quenching Xiong, Tian-Shi; Gong, Jiangbin; An, Jun-Hong Physical Review B, Vol. 93, Issue 18 https://doi.org/10.1103/physrevb.93.184306	journal	May 2016
Configurable Dirac-like conical dispersions in complex photonic crystals Xu, Changqing; Lai, Yun Physical Review B, Vol. 95, Issue 4 https://doi.org/10.1103/physrevb.95.045124	journal	January 2017
Topological phases in a Weyl semimetal multilayer Yokomizo, Kazuki; Murakami, Shuichi Physical Review B, Vol. 95, Issue 15 https://doi.org/10.1103/physrevb.95.155101	journal	April 2017
Valley-contrasting physics in all-dielectric photonic crystals: Orbital angular momentum and topological propagation Chen, Xiao-Dong; Zhao, Fu-Li; Chen, Min Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/physrevb.96.020202	journal	July 2017
Observation of valleylike edge states of sound at a momentum away from the high-symmetry points Xia, Bai-Zhan; Zheng, Sheng-Jie; Liu, Ting-Ting Physical Review B, Vol. 97, Issue 15 https://doi.org/10.1103/physrevb.97.155124	journal	April 2018
Recipe for creating an arbitrary number of Floquet chiral edge states Zhou, Longwen; Gong, Jiangbin Physical Review B, Vol. 97, Issue 24 https://doi.org/10.1103/physrevb.97.245430	journal	June 2018
Experimental Demonstration of Acoustic Chern Insulators Ding, Yujiang; Peng, Yugui; Zhu, Yifan Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/physrevlett.122.014302	journal	January 2019
Elastic Higher-Order Topological Insulator with Topologically Protected Corner States Fan, Haiyan; Xia, Baizhan; Tong, Liang Physical Review Letters, Vol. 122, Issue 20 https://doi.org/10.1103/physrevlett.122.204301	journal	May 2019
Space-time phononic crystals with anomalous topological edge states Oudich, Mourad; Deng, Yuanchen; Tao, Molei Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033069	journal	November 2019
A three-dimensional photonic topological insulator using a two-dimensional ring resonator lattice with a synthetic frequency dimension Lin, Qian; Sun, Xiao-Qi; Xiao, Meng Science Advances, Vol. 4, Issue 10 https://doi.org/10.1126/sciadv.aat2774	journal	October 2018
PT symmetric Floquet topological phase Yuce, Cem The European Physical Journal D, Vol. 69, Issue 7 https://doi.org/10.1140/epjd/e2015-60220-7	journal	July 2015
Observation of broadband unidirectional transmission by fusing the one-way edge states of gyromagnetic photonic crystals Li, Zhen; Wu, Rui-xin; Li, Qing-Bo Optics Express, Vol. 23, Issue 8 https://doi.org/10.1364/oe.23.009658	journal	January 2015
Double Dirac cones in two-dimensional dielectric photonic crystals Li, Yan; Mei, Jun Optics Express, Vol. 23, Issue 9 https://doi.org/10.1364/oe.23.012089	journal	January 2015
Broadband one-way propagation and rainbow trapping of terahertz radiations Xu, Jie; Xiao, Sanshui; Wu, Chiaho Optics Express, Vol. 27, Issue 8 https://doi.org/10.1364/oe.27.010659	journal	January 2019
Design of terahertz reconfigurable devices by locally controlling topological phases of square gyro-electric rod arrays Zhang, L.; Xiao, Sanshui Optical Materials Express, Vol. 9, Issue 2 https://doi.org/10.1364/ome.9.000544	journal	January 2019
Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide Chen, Wen-Jie; Jiang, Shao-Ji; Chen, Xiao-Dong arXiv https://doi.org/10.48550/arxiv.1401.0367	text	January 2014
Large Chern Number Topological Superfluids in Coupled Layer System Huang, Beibing; Chan, Jeffrey Chun Fai; Gong, Ming arXiv https://doi.org/10.48550/arxiv.1408.3163	text	January 2014
Topological Crystalline Insulator and Quantum Anomalous Hall States in IV-VI based Monolayers and their Quantum Wells Niu, C.; Buhl, P. M.; Bihlmayer, G. arXiv https://doi.org/10.48550/arxiv.1503.01939	text	January 2015
Experimental Observation of Large Chern numbers in Photonic Crystals Skirlo, Scott A.; Lu, Ling; Yan, Qinghui arXiv https://doi.org/10.48550/arxiv.1504.04399	text	January 2015
Floquet Topological Insulators for Sound Fleury, Romain; Khanikaev, Alex; Alu, Andrea arXiv https://doi.org/10.48550/arxiv.1511.08427	text	January 2015
Towards large-Chern-number topological phases by periodic quenching Xiong, Tian-Shi; Gong, Jiangbin; An, Jun-Hong arXiv https://doi.org/10.48550/arxiv.1601.04437	text	January 2016
Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays Ke, Yongguan; Qin, Xizhou; Mei, Feng arXiv https://doi.org/10.48550/arxiv.1603.01044	text	January 2016
Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity Zhou, Xiang-Fa; Luo, Xi-Wang; Wang, Su arXiv https://doi.org/10.48550/arxiv.1703.05924	text	January 2017
Recipe for creating an arbitrary number of Floquet chiral edge states Zhou, Longwen; Gong, Jiangbin arXiv https://doi.org/10.48550/arxiv.1804.06407	text	January 2018
Second-order photonic topological insulator with corner states Xie, Bi Ye; Wang, Hong Fei; Wang, Hai-Xiao arXiv https://doi.org/10.48550/arxiv.1805.07555	text	January 2018
Nodal-line semimetal superlattices Yokomizo, Kazuki; Yamada, Hiroaki; Murakami, Shuichi arXiv https://doi.org/10.48550/arxiv.1807.11131	text	January 2018
Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology Wang, Hai-Xiao; Guo, Guang-Yu; Jiang, Jian-Hua arXiv https://doi.org/10.48550/arxiv.1902.10401	text	January 2019
Floquet engineering to exotic topological phases in systems of cold atoms Liu, Hui; Xiong, Tian-Shi; Zhang, Wei arXiv https://doi.org/10.48550/arxiv.1904.01950	text	January 2019
Space-Time Phononic Crystals with Anomalous Topological Edge States Oudich, Mourad; Deng, Yuanchen; Tao, Molei arXiv https://doi.org/10.48550/arxiv.1904.02711	text	January 2019
Ultra-subwavelength focusing and giant magnetic-field enhancement in a low-loss one-way waveguide based on remanence Xu, Jie; Deng, Xiaohua; Zhang, Hang arXiv https://doi.org/10.48550/arxiv.1909.07848	text	January 2019