Fetching the paper…
Reading the bibliography…
Higher-order topological~(HOT) states,~hosting topologically protected modes on lower-dimensional boundaries,~such as hinges and corners, have recently extended the realm of the static topological phases.~Here we demonstrate the possibility of realizing a two-dimensional \emph{Floquet} second-order topological insulator, featuring corner-localized zero quasienergy modes and characterized by quantized Floquet qudrupolar moment $Q^{\rm Flq}_{xy}=0.5$, by periodically kicking a quantum spin Hall insulator (QSHI) with a discrete fourfold ($C_4$) and time-reversal (${\mathcal T}$) symmetry breaking Dirac mass perturbation.~Furthermore, we show that $Q^{\rm Flq}_{xy}$ becomes independent of the choice of origin as the system approaches the thermodynamic limit.~We also analyze the dynamics of a corner mode after a sudden quench, when the $C_4$ and ${\mathcal T}$ symmetry breaking perturbation is switched off, and find that the corresponding survival probability displays periodic appearances of complete, partial and no revival for long time, encoding the signature of corner modes in a QSHI.~Our protocol is sufficiently general to explore the territory of dynamical HOT phases in insulators and gapless systems.
A. Agarwala, V. Juričić, and B. Roy, arXiv:1902.00507
1902
Earlier work this paper cites.
See, however, S. Ono, L. Trifunovic, H. Watanabe, arXiv:1902.07508
1902
Earlier work this paper cites.
1906
Earlier work this paper cites.
A. L. Szab o ´ \acute{\mbox{o}} , R. Moessner, and B Roy, arXiv:1907.12568
1907
Earlier work this paper cites.
R. Jackiw and C. Rebbi, Phys. Rev. D 13
1976
Earlier work this paper cites.
J. Ringot, P. Szriftgiser, J. C. Garreau, and D. Delande, Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore and D. M. Stamper-Kurn, Nature (London) 443
2006
Earlier work this paper cites.
P. Calabrese and J. Cardy, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
B. A. Bernevig, T. L. Hughes, S.-C. Zhang, Science 314
2006
Earlier work this paper cites.
M. Z. Hasan and C. Kane, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
N. H. Lindner, G. Rafael, and V. Galitski, Nat. Phys. 7
2011
Earlier work this paper cites.
A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
B. Dóra, J. Cayssol, F. Simon and R. Moessner, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
Y. H. Wang, H. Steinberg, P. Jarillo-Herrero, and N. Gedik, Science 342
2013
Earlier work this paper cites.
M. S. Rudner, N. H. Lindner, E. Berg, and M. Levin, Phys. Rev. X 3
2013
Earlier work this paper cites.
M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Nature (London) 496
2013
Earlier work this paper cites.
A. Rajak and A. Dutta, Phys. Rev. E 89
2014
Earlier work this paper cites.
P. D. Sacramento, Phys. Rev. E 90
2014
Cited alongside, same era.
M. Lejman, G. Vaudel, I. C. Infante, P. Gemeiner, V. E. Gusev, B. Dkhil, and P. Ruello, Nat. Commun. 5
2014
Cited alongside, same era.
A. Dutta, G. Aeppli, B. K. Chakrabarti, U. Divakaran, T. Rosenbaum and D. Sen, Quantum Phase Transitions in Transverse Field Spin Models: From Statistical Physics to Quantum Information (Cambridge University Press, Cambridge, UK, 2015)
2015
Cited alongside, same era.
R. Fleury, A. B. Khanikaev, and A. Alu, Nat. Commun. 7
2016
Cited alongside, same era.
Y-G. Peng, C-Z. Qin, D-G. Zhao, Y-X. Shen, X-Y. Xu, M. Bao, H. Jia and X-F. Zhu, Nat. Comm. 7
2016
Cited alongside, same era.
A. Eckardt, Rev. Mod. Phys. 89
2017
Z. Yan, F. Song, and Z. Wang, Phys. Rev. Lett. 121
2018
Later among the works it cites.
M. Serra-Garcia, V. Peri, R. Süsstrunk, O. R. Bilal, T. Larsen, L. G. Villanueva, and S. D. Huber, Nature (London) 55
2018
Later among the works it cites.
J. Noh, W. A. Benalcazar, S. Huang, M. J. Collins, K. P. Chen, T. L. Hughes, and M. C. Rechtsman, Nat. Photonics 12
2018
Later among the works it cites.
C. W. Peterson, W. A. Benalcazar, T. L. Hughes, and G. Bahl, Nature (London) 555
2018
Later among the works it cites.
S. Imhof, C. Berger, F. Bayer, J. Brehm, L. Molenkamp, T. Kiessling, F. Schindler, C. H. Lee, M. Greiter, T. Neupert, and R. Thomale, Nat. Phys. 14
2018
Later among the works it cites.
A. Mitra, Ann. Rev. Cond. Matt. Phys. 9
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
L. J. Maczewsky, J. M. Zeuner, S. Nolte, and A. Szameit, Nat. Commun. 8
2017
Cited alongside, same era.
W. A. Benalcazar, B. A. Bernevig, and T. L. Hughes, Science 357
2017
Cited alongside, same era.
Z. Song, Z. Fang, and C. Fang, Phys. Rev. Lett. 119
2017
Cited alongside, same era.
W. A. Benalcazar, B. A. Bernevig, and T. L. Hughes, Phys. Rev. B 96
2017
Cited alongside, same era.
J. Langbehn, Y. Peng, L. Trifunovic, F. von Oppen, and P. W. Brouwer, Phys. Rev. Lett. 119
2017
Cited alongside, same era.
A. Rajak and T. Nag, Phys. Rev. E. 96
2017
Cited alongside, same era.
2018
Later among the works it cites.
T. Oka and S. Kitamura, Ann. Rev. Cond. Mat. Phys. 10
2019
Closest in time.
L. Trifunovic and P. W. Brouwer, Phys. Rev. X 9
2019
Closest in time.
D. Călugăru, V. Juričić, and B. Roy, Phys. Rev. B 99
2019
Closest in time.
J. Ahn and B.-J. Yang, Phys. Rev. B 99
2019
Closest in time.
Y. Volpez, D. Loss, and J. Klinovaja, Phys. Rev. Lett. 122
2019
Closest in time.
H. Xue, Y. Yang, G. Liu, F. Gao, Y. Chong, and B. Zhang, Phys. Rev. Lett. 122
2019
Closest in time.
S. N. Kempkes, M. R. Slot, J. J. van den Broeke, P. Capiod, W. A. Benalcazar, D. Vanmaekelbergh, D. Bercioux, I. Swart, C. Morais Smith, Nat. Mater. (2019), doi:10.1038/s41563-019-0483-4
2019
Closest in time.
M. Tarnowski, F. N. Ünal, N. Fläschner, B. S. Rem, A. Eckardt, K. Sengstock, and C. Weitenberg, Nat. Commun. 10
2019
Closest in time.
R. W. Bomantara, L. Zhou, J. Pan, and J. Gong, Phys. Rev. B 99
2019
Closest in time.
M. Rodriguez-Vega, A. Kumar, and B. Seradjeh, Phys. Rev. B 100
2019
Closest in time.
R. Seshadri, A. Dutta, D. Sen, Phys. Rev. B 100
2019
Closest in time.
Y. Peng and G. Refael, Phys. Rev. Lett. 123
2019
Closest in time.