A non-Hermitian pseudo-gap can host symmetry-protected mid-gap modes like ordinary topological gaps, but the mid-gap modes are extended instead of edge-localized, and exhibit extreme sensitivity to symmetry-breaking perturbations. Surprisingly, pseudo-gaps can also host an integer number of edge ...
JDG 2017 Tristan Collins The deformed Hermitian Yang-Mills equation 56:26 JDG 2017 William Meeks Recent Progress in the Theory of CMC Surfaces in 3-Manifo 57:59 JDG 2017 Yuiiro Kawamata Birational geometry and derived categories 52:19 JDG 2017_ Blaine Lawson_ Lagrangian potential theory and...
It also has reflection symmetry Mx (chosen to be σx to meet the Hermitian requirement70) that anticommutes with T and P. When qθ and qϕ are both even [e.g.,\((\theta ,\phi ){\mathrm{/}}2\pi = (1{\mathrm{/}}4,1{\mathrm{/}}6)\) in Fig. 3e], Hs has two ...
whereφis the polar angle. The energy dispersion of this Hamiltonian as a function of wave vectorE(k) is shown in Fig.2e with dashed lines. As any 2 × 2 Hermitian Hamiltonian, it is a linear combination of Pauli matrices that can be physically interpreted as an effective magnetic fi...
Historically, nanophotonics deals with a control of light at the nanoscale being closely connected with the rapid advances in plasmonics – the physics of surface plasmon polaritons supported by metal–dielectric interfaces. Properly engineered nanostruc
Utilizing the transfer matrix method, we analytically investigate the pseudomobility edges under nonreciprocity, which accurately describes the boundary between ergodic and nonergodic states. The ergodic states, under nonreciprocity, form topological point gaps in the complex plane, with the corresponding ...
This work adopts a point-gap perspective and unveils that non-Hermitian skin effect in all spatial dimensions originates from point gaps. We introduce the concept of uniform spectra and reveal that regardless of lattice geometry, their energy spectra are universally given by the uniform spectra, ...