Observation of higher-order non-Hermitian skin effect

作者: Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen , Xiujuan Zhang , Yuan Tian

DOI: 10.21203/RS.3.RS-182126/V1

关键词: MetamaterialQuantum mechanicsSpin-½Skin effectTopological insulatorGravitational singularityDegrees of freedom (physics and chemistry)PhysicsHermitian matrixHorizon

摘要: Hermitian theories play a major role in understanding the physics of most phenomena. It has been found only past decade that non-Hermiticity enables unprecedented effects such as exceptional points, spectral singularities and bulk Fermi arcs. Recent studies further show can fundamentally change topological band theory, leading to non-Hermitian topology skin effect, confirmed one-dimensional (1D) systems. However, higher dimensions, these remain unexplored experiments. Here, we demonstrate spin-polarized, higher-order effect two-dimensional (2D) acoustic metamaterials. Using lattice coupled whisper-gallery resonators, realize spinful 2D insulator (HOTI) where spin-up spin-down states are emulated by anti-clockwise clockwise modes, respectively. We find drives wave localizations toward opposite edge boundaries depending on spin polarizations. More interestingly, for finite systems with both corner boundaries, leads two bulk, spin-dependent manner. rich manipulation through loss configuration each unit-cell. The reported spin-dependent, reveals interplay between non-Hermiticity, which is enriched degrees freedom. This unveils new horizon study design

参考文章(46)
Julia M Zeuner, Mikael C Rechtsman, Yonatan Plotnik, Yaakov Lumer, Stefan Nolte, Mark S Rudner, Mordechai Segev, Alexander Szameit, None, Observation of a Topological Transition in the Bulk of a Non-Hermitian System. Physical Review Letters. ,vol. 115, pp. 040402- 040402 ,(2015) , 10.1103/PHYSREVLETT.115.040402
K. G. Makris, R. El-Ganainy, D. N. Christodoulides, Z. H. Musslimani, Beam dynamics in PT symmetric optical lattices. Physical Review Letters. ,vol. 100, pp. 103904- ,(2008) , 10.1103/PHYSREVLETT.100.103904
Yu-Gui Peng, Cheng-Zhi Qin, De-Gang Zhao, Ya-Xi Shen, Xiang-Yuan Xu, Ming Bao, Han Jia, Xue-Feng Zhu, Experimental demonstration of anomalous Floquet topological insulator for sound. Nature Communications. ,vol. 7, pp. 13368- 13368 ,(2016) , 10.1038/NCOMMS13368
Bo Zhen, Chia Wei Hsu, Yuichi Igarashi, Ling Lu, Ido Kaminer, Adi Pick, Song-Liang Chua, John D. Joannopoulos, Marin Soljačić, Spawning rings of exceptional points out of Dirac cones Nature. ,vol. 525, pp. 354- 358 ,(2015) , 10.1038/NATURE14889
Liang Feng, Ye-Long Xu, William S Fegadolli, Ming-Hui Lu, José EB Oliveira, Vilson R Almeida, Yan-Feng Chen, Axel Scherer, None, Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies Nature Materials. ,vol. 12, pp. 108- 113 ,(2013) , 10.1038/NMAT3495
Carl M. Bender, Stefan Boettcher, Peter N. Meisinger, PT-symmetric quantum mechanics Journal of Mathematical Physics. ,vol. 40, pp. 2201- 2229 ,(1999) , 10.1063/1.532860
Carl M. Bender, Stefan Boettcher, Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry Physical Review Letters. ,vol. 80, pp. 5243- 5246 ,(1998) , 10.1103/PHYSREVLETT.80.5243
Ingrid Rotter, A non-Hermitian Hamilton operator and the physics of open quantum systems Journal of Physics A. ,vol. 42, pp. 153001- ,(2009) , 10.1088/1751-8113/42/15/153001
Shachar Klaiman, Uwe Günther, Nimrod Moiseyev, Visualization of branch points in PT-symmetric waveguides. Physical Review Letters. ,vol. 101, pp. 080402- ,(2008) , 10.1103/PHYSREVLETT.101.080402
Carl M. Bender, Dorje C. Brody, Hugh F. Jones, Complex extension of quantum mechanics Physical Review Letters. ,vol. 89, pp. 270401- ,(2002) , 10.1103/PHYSREVLETT.89.270401