Non-Hermitian topology and exceptional-point geometries

K Ding, C Fang, G Ma - Nature Reviews Physics, 2022 - nature.com
Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a
powerful tool in the characterization of both the intrinsic degrees of freedom of a system and …

Homotopy, symmetry, and non-Hermitian band topology

K Yang, Z Li, JLK König, L Rødland… - Reports on Progress …, 2024 - iopscience.iop.org
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …

Non-hermitian mott skin effect

T Yoshida, SB Zhang, T Neupert, N Kawakami - Physical Review Letters, 2024 - APS
We propose a novel type of skin effects in non-Hermitian quantum many-body systems that
we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay …

Observation of nonlinear exceptional points with a complete basis in dynamics

K Bai, TR Liu, L Fang, JZ Li, C Lin, D Wan, M **ao - Physical Review Letters, 2024 - APS
The exotic physics associated with exceptional points (EPs) is always under the scrutiny of
theoretical and experimental science. Recently, considerable effort has been invested in the …

Resolving the topology of encircling multiple exceptional points

C Guria, Q Zhong, SK Ozdemir, YSS Patil… - Nature …, 2024 - nature.com
Non-Hermiticity has emerged as a new paradigm for controlling coupled-mode systems in
ways that cannot be achieved with conventional techniques. One aspect of this control that …

Experimental simulation of symmetry-protected higher-order exceptional points with single photons

K Wang, L **ao, H Lin, W Yi, EJ Bergholtz, P Xue - Science Advances, 2023 - science.org
Exceptional points (EPs) of non-Hermitian (NH) systems have recently attracted increasing
attention due to their rich phenomenology and intriguing applications. Compared to the …

Braid-protected topological band structures with unpaired exceptional points

JLK König, K Yang, JC Budich, EJ Bergholtz - Physical Review Research, 2023 - APS
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and
construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable …

Realization and topological properties of third-order exceptional lines embedded in exceptional surfaces

W Tang, K Ding, G Ma - Nature Communications, 2023 - nature.com
As the counterpart of Hermitian nodal structures, the geometry formed by exceptional points
(EPs), such as exceptional lines (ELs), entails intriguing spectral topology. We report the …

Eigenvalue knots and their isotopic equivalence in three-state non-Hermitian systems

Z Li, K Ding, G Ma - Physical Review Research, 2023 - APS
The spectrum of a non-Hermitian system generically forms a two-dimensional complex
Riemannian manifold with a distinct topology from the underlying parameter space. This …

Symmetry-protected topological exceptional chains in non-Hermitian crystals

RY Zhang, X Cui, WJ Chen, ZQ Zhang… - Communications …, 2023 - nature.com
In non-Hermitian systems, defective band degeneracies called exceptional points can form
exceptional lines (ELs) in 3D momentum space in the absence of any symmetries. However …