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 ...
The demonstration of our method in the non-Hermitian Su-Schrieer-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...
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...
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., ...
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 ...
Perspective on topological states of non-Hermitian systems. J Phys Mater 2020;3:014002.10.1088/2515-7639/ab4092Search in Google Scholar [25] Parto M, Wittek S, Hodaei H, et al. Edge-mode lasing in 1D topological active arrays. Phys Rev Lett 2018;120:113901.10.1103/PhysRevLett.120.113901...
Inspired by the recent advances in the topology of non-Hermitian systems, inthis work we study a non-Hermitian version of the topological checkerboard lattice. The complex band structureand Berry curvature are calculated. In the insulating phase, the Chern number is the same as in the Hermitian...
Although implementing QHE, QSHE and QVHE require structures to satisfy different conditions, they have the common feature that the gapless edge states span the band gap when the topological material is nontrivial. With the rapid development of topological phases in quantum systems, they were quickly...
However, lattices, periodic structures, do not necessarily have to be a spatial arrangement of sites. Rather, a lattice can also be a ladder of atomic states, or photonic cavity modes, or spin states. Using one (or more) of these ladders in a non-spatial – but synthetic – degree of ...
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 ...