Topological properties of coupled one-dimensional chains of elastic rotators

作者: Pierre A. Deymier , M. Arif Hasan , Keith Runge

DOI: 10.1063/5.0041256

关键词:

摘要: We introduce a model system composed of elastically coupled one-dimensional chains elastic rotators. The rotators are analogous to Su-Schrieffer–Heeger models. chain is shown analytically and numerically support an unusual number topological properties such as Dirac degeneracies, band inversion transition function the strength parameter coupling chains, nonseparability modes' degrees freedom along across that entangled Bell states in multipartite quantum system. Finally, we reveal formation synthetic dimension by allowing vary with time, which has potential create higher-dimensional space.

参考文章(45)
N. Swinteck, S. Matsuo, K. Runge, J. O. Vasseur, P. Lucas, P. A. Deymier, Bulk elastic waves with unidirectional backscattering-immune topological states in a time-dependent superlattice Journal of Applied Physics. ,vol. 118, pp. 063103- ,(2015) , 10.1063/1.4928619
Pai Wang, Ling Lu, Katia Bertoldi, Topological Phononic Crystals with One-Way Elastic Edge Waves. Physical Review Letters. ,vol. 115, pp. 104302- 104302 ,(2015) , 10.1103/PHYSREVLETT.115.104302
Meng Xiao, Wen-Jie Chen, Wen-Yu He, C. T. Chan, Synthetic gauge flux and Weyl points in acoustic systems Nature Physics. ,vol. 11, pp. 920- 924 ,(2015) , 10.1038/NPHYS3458
J. T. Mendonça, A. Guerreiro, Ana M. Martins, Quantum theory of time refraction Physical Review A. ,vol. 62, pp. 033805- ,(2000) , 10.1103/PHYSREVA.62.033805
J. Zak, Berry’s phase for energy bands in solids Physical Review Letters. ,vol. 62, pp. 2747- 2750 ,(1989) , 10.1103/PHYSREVLETT.62.2747
Aleksey A. Vasiliev, Andrey E. Miroshnichenko, Massimo Ruzzene, A discrete model and analysis of one dimensional deformations in a structural interface with micro-rotations Mechanics Research Communications. ,vol. 37, pp. 225- 229 ,(2010) , 10.1016/J.MECHRESCOM.2009.11.010
M. S. Kang, A. Butsch, P. St. J. Russell, Reconfigurable light-driven opto-acoustic isolators in photonic crystal fibre Nature Photonics. ,vol. 5, pp. 549- 553 ,(2011) , 10.1038/NPHOTON.2011.180
Aleksey Vasiliev, Andrey Miroshnichenko, Massimo Ruzzene, Multifield model for Cosserat media Journal of Mechanics of Materials and Structures. ,vol. 3, pp. 1365- 1382 ,(2008) , 10.2140/JOMMS.2008.3.1365
Michael Victor Berry, Quantal phase factors accompanying adiabatic changes Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 392, pp. 45- 57 ,(1984) , 10.1098/RSPA.1984.0023
M. Z. Hasan, C. L. Kane, Colloquium : Topological insulators Reviews of Modern Physics. ,vol. 82, pp. 3045- 3067 ,(2010) , 10.1103/REVMODPHYS.82.3045