J. Lukas K. König
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View article: Winding topology of multifold exceptional points
Winding topology of multifold exceptional points Open
Despite their ubiquity, a systematic classification of multifold exceptional points, n-fold spectral degeneracies (EPns), remains a significant unsolved problem. In this article, we characterize the Abelian eigenvalue topology of generic E…
View article: Photonic Non-Abelian Braid Monopole
Photonic Non-Abelian Braid Monopole Open
Monopoles and braids are exotic but elusive aspects of fundamental theories of light and matter. In lattice systems, monopoles of band-structure degeneracies are subject to well-established no-go (doubling) theorems that appear to universa…
View article: Winding Topology of Multifold Exceptional Points
Winding Topology of Multifold Exceptional Points Open
Despite their ubiquity, a systematic classification of multifold exceptional points, $n$-fold spectral degeneracies (EP$n$s), remains a significant unsolved problem. In this article, we characterize the Abelian eigenvalue topology of gener…
View article: Homotopy, symmetry, and non-Hermitian band topology
Homotopy, symmetry, and non-Hermitian band topology Open
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal …
View article: Nodal phases in non-Hermitian wallpaper crystals
Nodal phases in non-Hermitian wallpaper crystals Open
Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries, such as parity-time (PT) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we in…
View article: Nodal phases in non-Hermitian wallpaper crystals
Nodal phases in non-Hermitian wallpaper crystals Open
Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries such as parity-time ($\mathcal{PT}$) symmetry have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. H…
View article: Braid-protected topological band structures with unpaired exceptional points
Braid-protected topological band structures with unpaired exceptional points Open
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable nodal phases. While fermion doubling, i.e., the necessity of …
View article: Homotopy, Symmetry, and Non-Hermitian Band Topology
Homotopy, Symmetry, and Non-Hermitian Band Topology Open
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal …
View article: Braid Protected Topological Band Structures with Unpaired Exceptional Points
Braid Protected Topological Band Structures with Unpaired Exceptional Points Open
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable nodal phases. While fermion doubling, i.e. the necessity of c…