Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the context of photonic systems, where one needs to account for ...
Non-Hermitian topological light steering. Science 365, 1163–1166 (2019). Article ADS CAS PubMed Google Scholar Yao, S. & Wang, Z. Edge states and topological invariants of non-Hermitian systems. Phys. Rev. Lett. 121, 086803 (2018). Article ADS CAS PubMed Google Scholar Song, F., ...
Non-Hermitian band theory naturally arises in active materials because energy is both consumed and dissipated, resulting in the presence of skin modes and odd viscoelasticity. The full potential of these ideas extends from the fundamental understanding of topology in non-equilibrium systems to applicatio...
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The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized Brillouin zone. The resultant phase diagrams dramatically differ from the ...
The demonstration of our method in the non-Hermitian Su-Schrieffer-Heeger model shows that exotic non-Hermitian topological phases of widely tunable numbers of edge states and Floquet topological Anderson insulator are induced by the periodic driving and the disorder. Our result supplies a useful way...
a look at the interplay of number theory and ergodic theory i 57:37 The value distribution of the Hurwitz zeta function with an irrational shift 51:58 Theta-finite pro-Hermitian vector bundles from loop groups elements 51:02 Torsion points and concurrent lines on Del Pezzo surfaces of degree ...
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& Sato, M. Classification of exceptional points and non-Hermitian topological semimetals. Phys. Rev. Lett. 123, 066405 (2019). Article ADS MathSciNet CAS PubMed Google Scholar Yao, S. & Wang, Z. Edge states and topological invariants of non-Hermitian systems. Phys. Rev. Lett. 121, ...
Observation of tubular edge states In the tubular geometry, the topological picture changes in comparison to the sheet, in that only a discrete number of states fall into the nontrivial range of the band gap. As discussed earlier (Fig. 1), the nontrivial topological properties of the acoustic...