Topological mechanics

<i>Colloquium</i> : Topological insulators

Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works

Topological insulators and superconductors

Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works

Quantal phase factors accompanying adiabatic changes

Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works

Quantum Spin Hall Effect in Graphene

Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197 · see citing works

Quantized Hall Conductance in a Two-Dimensional Periodic Potential

Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · see citing works

Solitons in Polyacetylene

Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783 · see citing works

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"

Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301 · see citing works

Topological insulators and superconductors: tenfold way and dimensional hierarchy

Ryu, S., Schnyder, A. P., Furusaki, A., & Ludwig, A. W. W. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065010 · Cited by 2,320 · see citing works

Periodic table for topological insulators and superconductors

Kitaev, A., Lebedev, V., & Feigel’man, M. (2009) · AIP conference proceedings · doi:10.1063/1.3149495 · Cited by 1,916 · see citing works

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,884 · see citing works

Topological Acoustics

Yang, Z., Gao, F., Shi, X., Lin, X., Gao, Z. L., Chong, Y. D., & Zhang, B. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.114301 · Cited by 1,315 · see citing works

Sound Isolation and Giant Linear Nonreciprocity in a Compact Acoustic Circulator

Fleury, R., Sounas, D. L., Sieck, C. F., Haberman, M. R., & Alù, A. (2014) · Science · doi:10.1126/science.1246957 · Cited by 1,066 · see citing works

Observation of phononic helical edge states in a mechanical topological insulator

Süsstrunk, R., & Huber, S. D. (2015) · Science · doi:10.1126/science.aab0239 · Cited by 986 · see citing works

Topological Phononic Crystals with One-Way Elastic Edge Waves

Wang, P., Lü, L., & Bertoldi, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.104302 · Cited by 846 · see citing works

Topological boundary modes in isostatic lattices

Kane, C. L., & Lubensky, T. C. (2013) · Nature Physics · doi:10.1038/nphys2835 · Cited by 798 · see citing works

Topological mechanics of gyroscopic metamaterials

Nash, L. M., Kleckner, D., Read, A., Vitelli, V., Turner, A. M., & Irvine, W. T. M. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1507413112 · Cited by 791 · see citing works

Topologically protected elastic waves in phononic metamaterials

Mousavi, S. H., Khanikaev, A. B., & Wang, Z. (2015) · Nature Communications · doi:10.1038/ncomms9682 · Cited by 773 · see citing works

Geometric phase and band inversion in periodic acoustic systems

Xiao, M., Ma, G., Yang, Z., Sheng, P., Zhang, Z.-Q., & Chan, C. T. (2015) · Nature Physics · doi:10.1038/nphys3228 · Cited by 682 · see citing works

Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice

Khanikaev, A. B., Fleury, R., Mousavi, S. H., & Alù, A. (2015) · Nature Communications · doi:10.1038/ncomms9260 · Cited by 603 · see citing works

Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian

Hannay, J. H. (1985) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/18/2/011 · Cited by 574 · see citing works

Synthetic gauge flux and Weyl points in acoustic systems

Xiao, M., Chen, W.-J., He, W.-Y., & Chan, C. T. (2015) · Nature Physics · doi:10.1038/nphys3458 · Cited by 408 · see citing works

Topological modes bound to dislocations in mechanical metamaterials

Paulose, J., Chen, B. G., & Vitelli, V. (2015) · Nature Physics · doi:10.1038/nphys3185 · Cited by 366 · see citing works

Topological Phonon Modes and Their Role in Dynamic Instability of Microtubules

Prodan, E. V., & Prodan, C. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.248101 · Cited by 351 · see citing works

Topological states in photonic systems

Lü, L., Joannopoulos, J. D., & Marin Soljacic, A. (2016) · Nature Physics · doi:10.1038/nphys3796 · Cited by 344 · see citing works

Nonlinear conduction via solitons in a topological mechanical insulator

Chen, B. G., Upadhyaya, N., & Vitelli, V. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1405969111 · Cited by 292 · see citing works

Phonons and elasticity in critically coordinated lattices

Lubensky, T. C., Kane, C. L., Mao, X., Souslov, A., & Sun, K. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/7/073901 · Cited by 270 · see citing works

Nozione di parallelismo in una varietà qualunque e conseguente specificazione geometrica della curvatura riemanniana

Levi-Civita, M. D. T. (1916) · Rendiconti del Circolo Matematico di Palermo Series 2 · doi:10.1007/bf03014898 · Cited by 265 · see citing works

Selective buckling via states of self-stress in topological metamaterials

Paulose, J., Meeussen, A. S., & Vitelli, V. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1502939112 · Cited by 239 · see citing works

Topological Mechanics of Origami and Kirigami

Chen, B. G., Liu, B., Evans, A. A., Paulose, J., Cohen, I., Vitelli, V., & Santangelo, C. D. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.135501 · Cited by 211 · see citing works

Mechanical Weyl Modes in Topological Maxwell Lattices

Rocklin, D. Z., Chen, B. G., Falk, M. J., Vitelli, V., & Lubensky, T. C. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.135503 · Cited by 160 · see citing works

Helical edge states and topological phase transitions in phononic systems using bi-layered lattices

Pal, R. K., Schaeffer, M., & Ruzzene, M. (2016) · Journal of Applied Physics · doi:10.1063/1.4942357 · Cited by 127 · see citing works

Floquet topological system based on frequency-modulated classical coupled harmonic oscillators

Salerno, G. G., Ozawa, T., Price, H. M., & Carusotto, I. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.085105 · Cited by 55 · see citing works

Topological phonon modes in filamentary structures

Berg, N., Joel, K., Koolyk, M., & Prodan, E. V. (2011) · Physical Review E · doi:10.1103/physreve.83.021913 · Cited by 34 · see citing works

Edging into the spotlight

Ornes, S. (2015) · Physics World · doi:10.1088/2058-7058/28/6/37 · Cited by 1 · see citing works

Topological photonics

Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works

Non-Hermitian physics

Ashida, Y., Gong, Z., & Ueda, M. (2020) · Advances In Physics · doi:10.1080/00018732.2021.1876991 · Cited by 1,898 · see citing works

Exceptional topology of non-Hermitian systems

Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,742 · see citing works

Observation of a phononic quadrupole topological insulator

Serra-Garcia, M., Peri, V., Süsstrunk, R., Bilal, O. R., Larsen, T., Villanueva, L. G., & Huber, S. D. (2018) · Nature · doi:10.1038/nature25156 · Cited by 982 · see citing works

Topological phases in acoustic and mechanical systems

Ma, G., Xiao, M., & Chan, C. T. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0030-x · Cited by 823 · see citing works

Observation of higher-order topological acoustic states protected by generalized chiral symmetry

Ni, X., Weiner, M., Alù, A., & Khanikaev, A. B. (2018) · Nature Materials · doi:10.1038/s41563-018-0252-9 · Cited by 740 · see citing works

Observation of non-Hermitian topology and its bulk–edge correspondence in an active mechanical metamaterial

Ghatak, A., Brandenbourger, M., van Wezel, J., & Coulais, C. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2010580117 · Cited by 583 · see citing works

Tunable and Active Phononic Crystals and Metamaterials

Wang, Y., Wang, Y.-Z., Wu, B., Chen, W., & Wang, Y. (2020) · Applied Mechanics Reviews · doi:10.1115/1.4046222 · Cited by 506 · see citing works

Non-reciprocal robotic metamaterials

Brandenbourger, M., Locsin, X., Lerner, E., & Coulais, C. (2019) · Nature Communications · doi:10.1038/s41467-019-12599-3 · Cited by 494 · see citing works

Nonreciprocity in acoustic and elastic materials

Nassar, H., Yousefzadeh, B., Fleury, R., Ruzzene, M., Alù, A., Daraio, C., Norris, A. N., Huang, G., & Haberman, M. R. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-0206-0 · Cited by 483 · see citing works

Recent advances in 2D, 3D and higher-order topological photonics

Kim, M., Jacob, Z., & Rho, J. (2020) · Light Science & Applications · doi:10.1038/s41377-020-0331-y · Cited by 466 · see citing works

Topological acoustics

Xue, H., Yang, Y., & Zhang, B. (2022) · Nature Reviews Materials · doi:10.1038/s41578-022-00465-6 · Cited by 455 · see citing works

Higher-order topological states in photonic kagome crystals with long-range interactions

Li, M., Zhirihin, D. V., Gorlach, M. A., Ni, X., Filonov, D., Slobozhanyuk, A. P., Alù, A., & Khanikaev, A. B. (2019) · Nature Photonics · doi:10.1038/s41566-019-0561-9 · Cited by 448 · see citing works

Analogue computing with metamaterials

Zangeneh‐Nejad, F., Sounas, D. L., Alù, A., & Fleury, R. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-00243-2 · Cited by 439 · see citing works

Topological Phase Transition in non-Hermitian Quasicrystals

Longhi, S. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.237601 · Cited by 434 · see citing works

Periodic table for topological bands with non-Hermitian symmetries

Zhou, H., & Lee, J. Y. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.235112 · Cited by 408 · see citing works

Static non-reciprocity in mechanical metamaterials

Coulais, C., Sounas, D. L., & Alù, A. (2017) · Nature · doi:10.1038/nature21044 · Cited by 388 · see citing works

Topological active matter

Shankar, S., Souslov, A., Bowick, M. J., Marchetti, M. C., & Vitelli, V. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00445-3 · Cited by 377 · see citing works

Topological states in photonic systems

Lü, L., Joannopoulos, J. D., & Marin Soljacic, A. (2016) · Nature Physics · doi:10.1038/nphys3796 · Cited by 344 · see citing works

Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

Cardano, F., D’Errico, A., Dauphin, A., Maffei, M., Piccirillo, B., de Lisio, C., Filippis, G. D., Cataudella, V., Santamato, E., Marrucci, L., et al. (2017) · Nature Communications · doi:10.1038/ncomms15516 · Cited by 342 · see citing works

Double-Weyl Phonons in Transition-Metal Monosilicides

Zhang, T., Song, Z., Alexandradinata, A., Weng, H., Fang, C., Lü, L., & Fang, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.016401 · Cited by 338 · see citing works

Three-dimensional all-dielectric photonic topological insulator

Slobozhanyuk, A., Mousavi, S. H., Ni, X., Smirnova, D., Kivshar, Y. S., & Khanikaev, A. B. (2017) · Nature Photonics · doi:10.1038/nphoton.2016.253 · Cited by 328 · see citing works

Elastic pseudospin transport for integratable topological phononic circuits

Yu, S., He, C., Wang, Z., Liu, F., Sun, X., Li, Z., Lu, H., Lu, M., Liu, X.-P., & Chen, Y. (2018) · Nature Communications · doi:10.1038/s41467-018-05461-5 · Cited by 293 · see citing works

Observation of topological valley modes in an elastic hexagonal lattice

Vila, J., Pal, R. K., & Ruzzene, M. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.134307 · Cited by 286 · see citing works

Acoustic Realization of Quadrupole Topological Insulators

Qi, Y., Qiu, C., Xiao, M., He, H., Ke, M., & Liu, Z. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.206601 · Cited by 282 · see citing works

Guided transition waves in multistable mechanical metamaterials

Jin, L., Khajehtourian, R., Mueller, J., Rafsanjani, A., Tournat, V., Bertoldi, K., & Kochmann, D. M. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1913228117 · Cited by 279 · see citing works

Experimental Observation of Topologically Protected Helical Edge Modes in Patterned Elastic Plates

Miniaci, M., Pal, R. K., Morvan, B., & Ruzzene, M. (2018) · Physical Review X · doi:10.1103/physrevx.8.031074 · Cited by 250 · see citing works

Multi-step self-guided pathways for shape-changing metamaterials

Coulais, C., Sabbadini, A., Vink, F., & van Hecke, M. (2018) · Nature · doi:10.1038/s41586-018-0541-0 · Cited by 250 · see citing works

Topological Phononics: From Fundamental Models to Real Materials

Liu, Y., Chen, X., & Xu, Y. (2019) · Advanced Functional Materials · doi:10.1002/adfm.201904784 · Cited by 245 · see citing works

Artificial gauge fields in materials and engineered systems

Aidelsburger, M., Nascimbène, S., & Goldman, N. (2018) · Comptes Rendus Physique · doi:10.1016/j.crhy.2018.03.002 · Cited by 244 · see citing works

Crystalline metamaterials for topological properties at subwavelength scales

Yves, S., Fleury, R., Berthelot, T., Fink, M., Lemoult, F., & Lerosey, G. (2017) · Nature Communications · doi:10.1038/ncomms16023 · Cited by 242 · see citing works

Topological origin of equatorial waves

Delplace, P., Marston, J. B., & Venaille, A. (2017) · Science · doi:10.1126/science.aan8819 · Cited by 227 · see citing works

Observation of Double Weyl Phonons in Parity-Breaking FeSi

Miao, H., Zhang, T., Wang, L., Meyers, D. J., Said, A., Wang, Y. L., Shi, Y., Weng, H., Fang, Z., & Dean, M. P. M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.035302 · Cited by 213 · see citing works

Topological Waves in Fluids with Odd Viscosity

Souslov, A., Dasbiswas, K., Fruchart, M., Vaikuntanathan, S., & Vitelli, V. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.128001 · Cited by 205 · see citing works

Topological Fano Resonances

Zangeneh‐Nejad, F., & Fleury, R. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.014301 · Cited by 198 · see citing works

A study of topological effects in 1D and 2D mechanical lattices

Chen, H., Nassar, H., & Huang, G. (2018) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2018.04.013 · Cited by 190 · see citing works

Piezoelectric energy harvesting using mechanical metamaterials and phononic crystals

Lee, G., Lee, D. J., Park, J., Jang, Y., Kim, M., & Rho, J. (2022) · Communications Physics · doi:10.1038/s42005-022-00869-4 · Cited by 190 · see citing works

Demonstration of a quantized acoustic octupole topological insulator

Ni, X., Li, M., Weiner, M., Alù, A., & Khanikaev, A. B. (2020) · Nature Communications · doi:10.1038/s41467-020-15705-y · Cited by 189 · see citing works

Topological phase transition in mechanical honeycomb lattice

Chen, Y., Liu, X., & Hu, G. (2018) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2018.08.021 · Cited by 185 · see citing works

Topological Defect Engineering and PT Symmetry in Non-Hermitian Electrical Circuits

Stegmaier, A., Imhof, S., Helbig, T., Hofmann, T., Lee, C. H., Kremer, M., Fritzsche, A., Feichtner, T., Klembt, S., Höfling, S., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.215302 · Cited by 182 · see citing works

Non-Hermitian Band Topology and Skin Modes in Active Elastic Media

Scheibner, C., Irvine, W. T. M., & Vitelli, V. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.118001 · Cited by 181 · see citing works

From Photonic Crystals to Seismic Metamaterials: A Review via Phononic Crystals and Acoustic Metamaterials

Muhammad, & Lim, C. W. (2021) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-021-09612-8 · Cited by 181 · see citing works

Circuit implementation of a four-dimensional topological insulator

Wang, Y., Price, H. M., Zhang, B., & Chong, Y. D. (2020) · Nature Communications · doi:10.1038/s41467-020-15940-3 · Cited by 180 · see citing works

Demonstration of a third-order hierarchy of topological states in a three-dimensional acoustic metamaterial

Weiner, M., Ni, X., Li, M., Alù, A., & Khanikaev, A. B. (2020) · Science Advances · doi:10.1126/sciadv.aay4166 · Cited by 178 · see citing works

Realization of active metamaterials with odd micropolar elasticity

Chen, Y., Li, X., Scheibner, C., Vitelli, V., & Huang, G. (2021) · Nature Communications · doi:10.1038/s41467-021-26034-z · Cited by 178 · see citing works

Topological framework for directional amplification in driven-dissipative cavity arrays

Wanjura, C. C., Brunelli, M., & Nunnenkamp, A. (2020) · Nature Communications · doi:10.1038/s41467-020-16863-9 · Cited by 176 · see citing works

Subwavelength and directional control of flexural waves in zone-folding induced topological plates

Chaunsali, R., Chen, C.-W., & Yang, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.054307 · Cited by 171 · see citing works

Quantum Computing and Communications

Imre, S., & Balázs, F. (2004) · Wiley eBooks · doi:10.1002/9780470869048 · Cited by 165 · see citing works

Topological Rainbow Trapping for Elastic Energy Harvesting in Graded Su-Schrieffer-Heeger Systems

Chaplain, G. J., Ponti, J. M. D., Aguzzi, G., Colombi, A., & Craster, R. V. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.14.054035 · Cited by 163 · see citing works

Model for topological phononics and phonon diode

Liu, Y., Xu, Y., Zhang, S., & Duan, W. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.064106 · Cited by 162 · see citing works

Robust quantum state transfer via topological edge states in superconducting qubit chains

Mei, F., Chen, G., Tian, L., Zhu, S.-L., & Jia, S. (2018) · Physical Review A · doi:10.1103/physreva.98.012331 · Cited by 162 · see citing works

Relations between topology and the quantum metric for Chern insulators

Ozawa, T., & Mera, B. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.045103 · Cited by 158 · see citing works

Topological Metamaterials

Ni, X., Yves, S., Krasnok, A., & Alù, A. (2023) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00800 · Cited by 156 · see citing works

A characteristic length scale causes anomalous size effects and boundary programmability in mechanical metamaterials

Coulais, C., Kettenis, C., & van Hecke, M. (2017) · Nature Physics · doi:10.1038/nphys4269 · Cited by 155 · see citing works

Acoustic resonances in non-Hermitian open systems

Huang, L., Huang, S., Shen, C., Yves, S., Pilipchuk, A. S., Ni, X., Kim, S., Chiang, Y. K., Powell, D. A., Zhu, J., et al. (2023) · Nature Reviews Physics · doi:10.1038/s42254-023-00659-z · Cited by 154 · see citing works

Gain- and Loss-Induced Topological Insulating Phase in a Non-Hermitian Electrical Circuit

Liu, S., Ma, S., Yang, C., Zhang, L., Gao, W., Xiang, Y. J., Cui, T. J., & Zhang, S. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.13.014047 · Cited by 153 · see citing works

Pseudospins and Topological Effects of Phonons in a Kekulé Lattice

Liu, Y., Lian, C.-S., Li, Y., Xu, Y., & Duan, W. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.255901 · Cited by 152 · see citing works

Topological magnetoplasmon

Jin, D., Lü, L., Wang, Z., Fang, C., Joannopoulos, J. D., Marin Soljacic, A., Fu, L., & Fang, N. X. (2016) · Nature Communications · doi:10.1038/ncomms13486 · Cited by 152 · see citing works

Topological edge states of interacting photon pairs emulated in a topolectrical circuit

Olekhno, N. A., Kretov, E. I., Stepanenko, A. A., Ivanova, P. A., Yaroshenko, V. V., Puhtina, E. M., Filonov, D., Cappello, B., Matekovits, L., & Gorlach, M. A. (2020) · Nature Communications · doi:10.1038/s41467-020-14994-7 · Cited by 151 · see citing works

Topoelectrical circuit octupole insulator with topologically protected corner states

Bao, J., Zou, D., Zhang, W., He, W., Sun, H., & Zhang, X. (2019) · Physical Review B · doi:10.1103/physrevb.100.201406 · Cited by 149 · see citing works

Singularities and Poincaré Indices of Electromagnetic Multipoles

Chen, W., Chen, Y., & Liu, W. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.153907 · Cited by 149 · see citing works

Transient non-Hermitian skin effect

Gu, Z., Gao, H., Xue, H., Li, J., Su, Z., & Zhu, J. (2022) · Nature Communications · doi:10.1038/s41467-022-35448-2 · Cited by 149 · see citing works

Universality classes of non-Hermitian random matrices

Hamazaki, R., Kawabata, K., Kura, N., & Ueda, M. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023286 · Cited by 147 · see citing works

Tunable light-induced dipole-dipole interaction between optically levitated nanoparticles

Rieser, J., Ciampini, M. A., Rudolph, H., Kiesel, N., Hornberger, K., Stickler, B. A., Aspelmeyer, M., & Delić, U. (2022) · Science · doi:10.1126/science.abp9941 · Cited by 147 · see citing works

Experimental Observation of Nonreciprocal Band Gaps in a Space-Time-Modulated Beam Using a Shunted Piezoelectric Array

Marconi, J., Riva, E., Ronco, M. D., Cazzulani, G., Braghin, F., & Ruzzene, M. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.13.031001 · Cited by 143 · see citing works

Photonic Floquet topological insulators in a fractal lattice

Yang, Z., Lustig, E., Lumer, Y., & Segev, M. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00354-z · Cited by 143 · see citing works

Axial-field-induced chiral channels in an acoustic Weyl system

Peri, V., Serra‐Garcia, M., Ilan, R., & Huber, S. D. (2019) · Nature Physics · doi:10.1038/s41567-019-0415-x · Cited by 142 · see citing works

Circular dichroism in higher-order harmonic generation: Heralding topological phases and transitions in Chern insulators

Chacón, A., Kim, D. S., Zhu, W., Kelly, S. P., Dauphin, A., Pisanty, E., Maxwell, A., Picón, A., Ciappina, M. F., Kim, D. E., et al. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.134115 · Cited by 142 · see citing works

Non-Hermitian topological Anderson insulators

Zhang, D.-W., Tang, L.-Z., Lang, L.-J., Yan, H., & Zhu, S.-L. (2020) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-020-1521-9 · Cited by 141 · see citing works

Foundations for Soft, Smart Matter by Active Mechanical Metamaterials

Pishvar, M., & Harne, R. L. (2020) · Advanced Science · doi:10.1002/advs.202001384 · Cited by 141 · see citing works

Topologically enhanced harmonic generation in a nonlinear transmission line metamaterial

Wang, Y., Lang, L.-J., Lee, C. H., Zhang, B., & Chong, Y. D. (2019) · Nature Communications · doi:10.1038/s41467-019-08966-9 · Cited by 138 · see citing works

Roton-like acoustical dispersion relations in 3D metamaterials

Chen, Y., Kadic, M., & Wegener, M. (2021) · Nature Communications · doi:10.1038/s41467-021-23574-2 · Cited by 135 · see citing works

Photonics meets topology

Xie, B.-Y., Wang, H., Zhu, X.-Y., Lu, M., Wang, Z., & Chen, Y. (2018) · Optics Express · doi:10.1364/oe.26.024531 · Cited by 133 · see citing works

Robust temporal pumping in a magneto-mechanical topological insulator

Grinberg, I. H., Lin, M., Harris, C., Benalcazar, W. A., Peterson, C. W., Hughes, T. L., & Bahl, G. (2020) · Nature Communications · doi:10.1038/s41467-020-14804-0 · Cited by 129 · see citing works

Observation of Topological Magnon Insulator States in a Superconducting Circuit

Cai, W., Han, J., Mei, F., Xu, Y., Ma, Y., Li, X., Wang, H., Song, Y., Xue, Z., Yin, Z., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.080501 · Cited by 128 · see citing works

Topological phononic metamaterials

Zhu, W., Deng, W., Liu, Y., Lu, J., Wang, H., Lin, Z., Huang, X., Jiang, J., & Liu, Z. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/aceeee · Cited by 128 · see citing works

Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

Dzsaber, S., Yan, X., Taupin, M., Eguchi, G., Prokofiev, A., Shiroka, T., Blaha, P., Rubel, O., Grefe, S. E., Lai, H.-H., et al. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2013386118 · Cited by 127 · see citing works

Mirror skin effect and its electric circuit simulation

Yoshida, T., Mizoguchi, T., & Hatsugai, Y. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.022062 · Cited by 127 · see citing works

Topological mechanical metamaterials: A brief review

Li, X., Yu, S., Liu, H., Minghui, L., & Yan-Feng, C. (2020) · Current Opinion in Solid State and Materials Science · doi:10.1016/j.cossms.2020.100853 · Cited by 126 · see citing works

A perspective on topological nanophotonics: Current status and future challenges

Rider, M. S., Palmer, S. J., Pocock, S. R., Xiao, X., Huidobro, P. A., & Giannini, V. (2019) · Journal of Applied Physics · doi:10.1063/1.5086433 · Cited by 125 · see citing works

Topological phonons and thermoelectricity in triple-point metals

Singh, S., Wu, Q., Yue, C., Romero, A. H., & Soluyanov, A. A. (2018) · Physical Review Materials · doi:10.1103/physrevmaterials.2.114204 · Cited by 124 · see citing works

Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets

Li, K., Li, C., Hu, J., Li, Y., & Fang, C. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.247202 · Cited by 122 · see citing works

Brillouin optomechanics in nanophotonic structures

Wiederhecker, G. S., Junior, P. C. D., & Alegre, T. P. M. (2019) · APL Photonics · doi:10.1063/1.5088169 · Cited by 121 · see citing works

Topological edge modeling and localization of protected interface modes in 1D phononic crystals for longitudinal and bending elastic waves

Muhammad, Zhou, W., & Lim, C. W. (2019) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2019.05.020 · Cited by 119 · see citing works

Synthetic dimensions for cold atoms from shaking a harmonic trap

Price, H. M., Ozawa, T., & Goldman, N. (2017) · Physical Review A · doi:10.1103/physreva.95.023607 · Cited by 118 · see citing works

Non-Hermitian chiral phononics through optomechanically induced squeezing

del Pino, J., Slim, J. J., & Verhagen, E. (2022) · Nature · doi:10.1038/s41586-022-04609-0 · Cited by 117 · see citing works

Emerging Theory, Materials, and Screening Methods: New Opportunities for Promoting Thermoelectric Performance

Ouyang, Y., Zhang, Z., Li, D., Chen, J., & Zhang, G. (2019) · Annalen der Physik · doi:10.1002/andp.201800437 · Cited by 115 · see citing works

Bistable Topological Insulator with Exciton-Polaritons

Kartashov, Y. V., & Skryabin, D. V. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.253904 · Cited by 113 · see citing works

Probing topology by “heating”: Quantized circular dichroism in ultracold atoms

Tran, D. T., Dauphin, A., Grushin, A. G., Zoller, P., & Goldman, N. (2017) · Science Advances · doi:10.1126/sciadv.1701207 · Cited by 112 · see citing works

Gap solitons in a one-dimensional driven-dissipative topological lattice

Pernet, N., St-Jean, P., Solnyshkov, D. D., Malpuech, G., Zambon, N. C., Fontaine, Q., Real, B., Jamadi, O., Lemaître, A., Morassi, M., et al. (2022) · Nature Physics · doi:10.1038/s41567-022-01599-8 · Cited by 112 · see citing works

Valley-based splitting of topologically protected helical waves in elastic plates

Miniaci, M., Pal, R. K., Manna, R., & Ruzzene, M. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.024304 · Cited by 111 · see citing works

Synthetic gauge fields for phonon transport in a nano-optomechanical system

Mathew, J. P., del Pino, J., & Verhagen, E. (2020) · Nature Nanotechnology · doi:10.1038/s41565-019-0630-8 · Cited by 111 · see citing works

Inverse design of quantum spin hall-based phononic topological insulators

Nanthakumar, S. S., Zhuang, X., Park, H. S., Nguyen, C., Chen, Y., & Rabczuk, T. (2019) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2019.01.009 · Cited by 110 · see citing works

Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions

Rosa, M. I. N., & Ruzzene, M. (2020) · New Journal of Physics · doi:10.1088/1367-2630/ab81b6 · Cited by 108 · see citing works

Coexistent three-component and two-component Weyl phonons in TiS, ZrSe, and HfTe

Li, J., Xie, Q. L., Ullah, S., Li, R., Ma, H., Li, D., Li, Y., & Chen, X. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.054305 · Cited by 105 · see citing works

Bloch wave framework for structures with nonlocal interactions: Application to the design of origami acoustic metamaterials

Pratapa, P. P., Suryanarayana, P., & Paulino, G. H. (2018) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2018.05.012 · Cited by 105 · see citing works

Active topolectrical circuits

Kotwal, T., Moseley, F., Stegmaier, A., Imhof, S., Brand, H., Kießling, T., Thomale, R., Ronellenfitsch, H., & Dunkel, J. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2106411118 · Cited by 105 · see citing works

Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices

Jiao, Z., Longhi, S., Wang, X., Gao, J., Zhou, W., Wang, Y., Fu, Y.-X., Wang, L., Ren, R.-J., Qiao, L., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.147401 · Cited by 105 · see citing works

Topological phonon-polariton funneling in midinfrared metasurfaces

Guddala, S., Эдуардович, К. Ф., Kiriushechkina, S., Vakulenko, A., Li, M., Menon, V. M., Alù, A., & Khanikaev, A. B. (2021) · Science · doi:10.1126/science.abj5488 · Cited by 104 · see citing works

PT phase transitions of edge states at PT symmetric interfaces in non-Hermitian topological insulators

Ni, X., Smirnova, D. A., Poddubny, A. N., Leykam, D., Chong, Y. D., & Khanikaev, A. B. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.165129 · Cited by 103 · see citing works

Topological Insulators: Electronic Structure, Material Systems and Applications

Sengupta, P. (2017) · doi:10.1142/9789813232341_0013

Topological properties of mechanical metamaterials

Valverde, N. L. (2019) · Biblos-e Archivo (Universidad Autónoma de Madrid)

Topological insulators for next generation electronics and photonics

Qu, D. (2015) · Journal of Material Science & Engineering

Progress in Topological Mechanics

Zheng, S., Duan, G., & Xia, B. (2022) · Applied Sciences · doi:10.3390/app12041987 · Cited by 28 · see citing works

Topological Insulators for Novel Device Applications

Kim, K. W. (2016)