Editorial: Non-hermitian and topological photonics

Review Nanoscience & Nanotechnology

Topological acoustics

Haoran Xue et al.

Summary: Topological acoustics is an emerging field that explores the design and construction of artificial structures to manipulate sound waves using topological protection. Recent research has focused on exploring new topological concepts in physical systems. These developments demonstrate the importance of topological acoustic systems in advancing topological physics.

NATURE REVIEWS MATERIALS (2022)

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Review Physics, Applied

Non-Hermitian topology and exceptional-point geometries

Kun Ding et al.

Summary: Non-Hermitian theory is a theoretical framework used to describe open systems, featuring unique mathematical structures and topological properties. It accurately describes the degrees of freedom and interactions of a system with the external environment, and has significant implications in applications. This Review provides an overview of non-Hermitian topology and discusses recent developments in the field.

NATURE REVIEWS PHYSICS (2022)

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Article Materials Science, Multidisciplinary

Non-Hermitian topological systems with eigenvalues that are always real

Yang Long et al.

Summary: The effect of non-Hermiticity in band topology has been a topic of discussion in non-Hermitian topological physics. It is known that non-Hermitian Hamiltonians can have real energy spectra under the condition of parity-time (PT) symmetry, but only when the non-Hermiticity is weak. Strong non-Hermiticity will destroy the reality of energy spectra, leading to spontaneous PT-symmetry breaking. However, based on nonreciprocal coupling, a systematic strategy has been developed to construct non-Hermitian topological systems with always real bulk and boundary energy spectra, regardless of weak or strong non-Hermiticity. This nonreciprocal-coupling-based non-Hermiticity can drive a topological phase transition and determine the band topology.

PHYSICAL REVIEW B (2022)

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Review Physics, Multidisciplinary

Exceptional topology of non-Hermitian systems

Emil J. Bergholtz et al.

Summary: This review discusses the current understanding of the role of topology in non-Hermitian systems and its physical consequences in dissipative settings, focusing on the concept of exceptional degeneracies and its distinct phenomena, as well as the new notions of gapped phases in single-band systems. The unique sensitivity of non-Hermitian matrices to boundary conditions is highlighted, leading to anomalous relationships between bulk and boundary physics. Additionally, applications of non-Hermitian topology in classical and quantum systems are reviewed, showing its relevance beyond the field of topological phases.

REVIEWS OF MODERN PHYSICS (2021)

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Article Multidisciplinary Sciences