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We extend the notion of fragile topology to periodically-driven systems.
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2019
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A. Bouhon, A. M. Black-Schaffer, and R.-J. Slager, Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry, Phys. Rev. B 100
2019
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2014
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M. Bukov, L. D’Alessio, and A. Polkovnikov, Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to floquet engineering, Advances in Physics 64
2015
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P. Titum, E. Berg, M. S. Rudner, G. Refael, and N. H. Lindner, Anomalous floquet-anderson insulator as a nonadiabatic quantized charge pump, Phys. Rev. X 6
2016
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R. Fleury, A. B. Khanikaev, and A. Alu, Floquet topological insulators for sound, Nature communications 7
2016
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B. Bradlyn, L. Elcoro, J. Cano, M. G. Vergniory, Z. Wang, C. Felser, M. I. Aroyo, and B. A. Bernevig, Topological quantum chemistry, Nature 547
2017
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H. C. Po, H. Watanabe, and A. Vishwanath, Fragile topology and wannier obstructions, Phys. Rev. Lett. 121
2018
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B. Bradlyn, Z. Wang, J. Cano, and B. A. Bernevig, Disconnected elementary band representations, fragile topology, and wilson loops as topological indices: An example on the triangular lattice, Phys. Rev. B 99
2019
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Z. Song, Z. Wang, W. Shi, G. Li, C. Fang, and B. A. Bernevig, All magic angles in twisted bilayer graphene are topological, Phys. Rev. Lett. 123
Cited in the paper.
J. Ahn, S. Park, and B.-J. Yang, Failure of nielsen-ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: Application to twisted bilayer graphene at magic angle, Phys. Rev. X 9
2019
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M. B. de Paz, M. G. Vergniory, D. Bercioux, A. García-Etxarri, and B. Bradlyn, Engineering fragile topology in photonic crystals: Topological quantum chemistry of light, Phys. Rev. Research 1
2019
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T. Oka and S. Kitamura, Floquet engineering of quantum materials, Annual Review of Condensed Matter Physics 10
2019
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W. A. Benalcazar, T. Li, and T. L. Hughes, Quantization of fractional corner charge in C n {C}_{n} -symmetric higher-order topological crystalline insulators, Phys. Rev. B 99
2019
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Z.-D. Song, L. Elcoro, and B. A. Bernevig, Twisted bulk-boundary correspondence of fragile topology, Science 367
2020
Closest in time.
V. Peri, Z.-D. Song, M. Serra-Garcia, P. Engeler, R. Queiroz, X. Huang, W. Deng, Z. Liu, B. A. Bernevig, and S. D. Huber, Experimental characterization of fragile topology in an acoustic metamaterial, Science 367
2020
Closest in time.
M. Nakagawa, R.-J. Slager, S. Higashikawa, and T. Oka, Wannier representation of floquet topological states, Phys. Rev. B 101
2020
Closest in time.