☆ 4.2 Article

Realizing exceptional points of any order in the presence of symmetry

PHYSICAL REVIEW RESEARCH (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Materials Science, Multidisciplinary

Discriminant indicators with generalized inversion symmetry

Tsuneya Yoshida et al.

Summary: This paper proposes indicators for the discriminant of systems with generalized inversion symmetry, which can be computed from data at high-symmetry points in the Brillouin zone. The approach captures exceptional points and their symmetry-protected variants without ambiguity caused by the reference energy, which is an advantage compared to previously known indicators for non-Hermitian systems. As demonstrations, the authors systematically analyze 3x3 Hamiltonians where the proper choice of the reference energy is not obvious.

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Symmetry-Protected Multifold Exceptional Points and their Topological Characterization

Pierre Delplace et al.

Summary: In non-Hermitian systems, n-fold exceptional points are shown to be stable in n - 1 dimensions in the presence of antiunitary symmetries that are local in parameter space. The stability of these multifold exceptional points beyond the usual twofold ones is expressed in terms of the homotopy properties of a introduced resultant vector. Furthermore, applying a general formalism to a frictional shallow water model reveals the existence of threefold exceptional points associated with topological numbers.

PHYSICAL REVIEW LETTERS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Symmetry and Higher-Order Exceptional Points

Ipsita Mandal et al.

Summary: Exceptional points (EPs), where eigenvalues and eigenvectors coalesce, are common and unique features of non-Hermitian systems. Higher-order EPs, which typically require more fine-tuning, can become more abundant and conceptually richer with physically relevant symmetries.

PHYSICAL REVIEW LETTERS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Fermion Doubling Theorems in Two-Dimensional Non-Hermitian Systems for Fermi Points and Exceptional Points

Zhesen Yang et al.

Summary: The fermion doubling theorem has been extended to non-Hermitian lattice Hamiltonians, focusing on two-dimensional systems without symmetry constraints. Both Fermi points and exceptional points follow doubling theorems, requiring pairs of point nodes. An invariant called the discriminant number is introduced to prove the doubling theorem for exceptional points.

PHYSICAL REVIEW LETTERS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Experimental Determination of PT-Symmetric Exceptional Points in a Single Trapped Ion

Liangyu Ding et al.

Summary: Observing exceptional points of a non-Hermitian Hamiltonian with parity-time-reversal symmetry can enhance metrology and sensing capabilities by increasing sensitivity to external perturbations. This exploration allows for detailed quantum phase transitions and extraction of eigenvalues, leading to the measurement of time-dependent perturbations through EP enhancement.

PHYSICAL REVIEW LETTERS (2021)

添加到收藏夹

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)

添加到收藏夹

Article Materials Science, Multidisciplinary

Classification of exceptional nodal topologies protected by PT symmetry

Marcus Stalhammar et al.

Summary: This paper provides a topological classification of exceptional nodal degeneracies protected by PT symmetry in non-Hermitian systems, revealing previously overlooked possibilities such as knotted surfaces, knots, and points of higher orders.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Letter Materials Science, Multidisciplinary

Fourth-order exceptional points in correlated quantum many-body systems

L. Crippa et al.

Summary: The study introduces a microscopic model in three spatial dimensions demonstrating the occurrence of fourth-order exceptional points in correlated fermions, protected by chiral symmetry. The stability against symmetry-breaking perturbations and investigation of their characteristic analytical and topological properties are also discussed.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Triple degenerate point in three dimensions: Theory and realization

Lu Tian et al.

Summary: The study examines the characteristics of triple degenerate points in condensed matters and their significance under crystalline symmetry, classifying them into linear and quadratic TDPs.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Entanglement spectrum crossings reveal non-Hermitian dynamical topology

Sharareh Sayyad et al.

Summary: The development of non-Hermitian topological band theory has revealed novel topological phenomena in classical, driven, and dissipative systems. In open quantum many-body systems, robust signatures of non-Hermitian topology can be defined by crossings in the time evolution of the entanglement spectrum. The emergence of these crossings at the topological transition point suggests unique features of non-Hermitian topology in quantum many-body systems that cannot be replicated in classical simulators.

PHYSICAL REVIEW RESEARCH (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Sixfold, fourfold, and threefold excitations in the rare-earth metal carbide R2C3

Lei Jin et al.

Summary: Unconventional fermions, such as threefold, fourfold, and sixfold points, are revealed in existing compound R2C3 through first-principle calculations and symmetry analysis. The study shows that these unconventional fermions can be transformed into other types of fermions by applying uniaxial strain. Furthermore, the inclusion of spin-orbital coupling leads to the transformation of certain points into eightfold and fourfold degenerate points. This work provides a family of realistic materials for studying unconventional fermions.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Magnetic higher-order nodal lines

Zeying Zhang et al.

Summary: In this study, the concept of magnetic higher-order nodal lines is proposed, which exhibit higher-order energy splitting in magnetic systems and can be accompanied by torus surface states. Under symmetry breaking, these magnetic nodal lines can transform into various interesting topological states, such as three-dimensional quantum anomalous Hall insulator, multiple linear nodal lines, and magnetic triple-Weyl semimetal.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Review Optics

Review of exceptional point-based sensors

Jan Wiersig

PHOTONICS RESEARCH (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Pseudochirality: A Manifestation of Noether's Theorem in Non-Hermitian Systems

Jose D. H. Rivero et al.

PHYSICAL REVIEW LETTERS (2020)

添加到收藏夹

Article Materials Science, Multidisciplinary

Higher-order Dirac fermions in three dimensions

Weikang Wu et al.

PHYSICAL REVIEW B (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Classification of Exceptional Points and Non-Hermitian Topological Semimetals

Kohei Kawabata et al.

PHYSICAL REVIEW LETTERS (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics

Jong Yeon Lee et al.

PHYSICAL REVIEW LETTERS (2019)

添加到收藏夹

Review Multidisciplinary Sciences

Exceptional points in optics and photonics

Mohammad-Ali Miri et al.

SCIENCE (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries

Ryo Okugawa et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry-protected nodal phases in non-Hermitian systems

Jan Carl Budich et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Non-Hermitian systems and topology: A transfer-matrix perspective

Flore K. Kunst et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Quadratic and cubic nodal lines stabilized by crystalline symmetry

Zhi-Ming Yu et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry

Tsuneya Yoshida et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems

Flore K. Kunst et al.

PHYSICAL REVIEW LETTERS (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Weyl and Dirac semimetals in three-dimensional solids

N. P. Armitage et al.

REVIEWS OF MODERN PHYSICS (2018)

添加到收藏夹

Article Physics, Applied

Optomechanically Induced Transparency at Exceptional Points

Hao Lu et al.

PHYSICAL REVIEW APPLIED (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO3

Wing Chi Yu et al.

PHYSICAL REVIEW MATERIALS (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Edge States and Topological Invariants of Non-Hermitian Systems

Shunyu Yao et al.

PHYSICAL REVIEW LETTERS (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Non-Hermitian Chern Bands

Shunyu Yao et al.

PHYSICAL REVIEW LETTERS (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Topological Phases of Non-Hermitian Systems

Zongping Gong et al.

PHYSICAL REVIEW X (2018)

添加到收藏夹

Article Optics

Exceptional links and twisted Fermi ribbons in non-Hermitian systems

Johan Carlstrom et al.

PHYSICAL REVIEW A (2018)

添加到收藏夹

Article Optics

Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems

Chuanhao Yin et al.

PHYSICAL REVIEW A (2018)

添加到收藏夹

Article Optics

Stable topological edge states in a non-Hermitian four-band model

C. Yuce

PHYSICAL REVIEW A (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Chiral optical response of multifold fermions

Felix Flicker et al.

PHYSICAL REVIEW B (2018)

添加到收藏夹

Article Optics

Unidirectional lasing in semiconductor microring lasers at an exceptional point [Invited]

Stefano Longhi et al.

PHOTONICS RESEARCH (2017)

添加到收藏夹

Review Nanoscience & Nanotechnology

Unidirectional reflectionless light propagation at exceptional points

Yin Huang et al.

NANOPHOTONICS (2017)

添加到收藏夹

Article Physics, Multidisciplinary

Anomalous Edge State in a Non-Hermitian Lattice

Tony E. Lee

PHYSICAL REVIEW LETTERS (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Colloquium: Topological band theory

A. Bansil et al.

REVIEWS OF MODERN PHYSICS (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Classification of topological quantum matter with symmetries

Ching-Kai Chiu et al.

REVIEWS OF MODERN PHYSICS (2016)

添加到收藏夹

Article Multidisciplinary Sciences

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals

Barry Bradlyn et al.

SCIENCE (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Node-surface and node-line fermions from nonsymmorphic lattice symmetries

Qi-Feng Liang et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Review Physics, Condensed Matter

Symmetry-Protected Topological Phases of Quantum Matter

T. Senthil

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6 (2015)

添加到收藏夹

Article Materials Science, Multidisciplinary

Classification of reflection-symmetry-protected topological semimetals and nodal superconductors

Ching-Kai Chiu et al.

PHYSICAL REVIEW B (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Signatures of three coalescing eigenfunctions

Gilles Demange et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2012)

添加到收藏夹

Article Materials Science, Multidisciplinary

Dirac semimetal and topological phase transitions in A3Bi (A = Na, K, Rb)

Zhijun Wang et al.

PHYSICAL REVIEW B (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry

Chen Fang et al.

PHYSICAL REVIEW LETTERS (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Dirac Semimetal in Three Dimensions

S. M. Young et al.

PHYSICAL REVIEW LETTERS (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Time-Reversal Symmetry in Non-Hermitian Systems

Masatoshi Sato et al.

PROGRESS OF THEORETICAL PHYSICS (2012)

添加到收藏夹

Article Materials Science, Multidisciplinary

Topological nodal semimetals

A. A. Burkov et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Materials Science, Multidisciplinary

Edge states and topological phases in non-Hermitian systems

Kenta Esaki et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Materials Science, Multidisciplinary

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates

Xiangang Wan et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Physics, Multidisciplinary

Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr2Se4

Gang Xu et al.

PHYSICAL REVIEW LETTERS (2011)

添加到收藏夹

Article Physics, Multidisciplinary

Physics of nonhermitian degeneracies

MV Berry

CZECHOSLOVAK JOURNAL OF PHYSICS (2004)

添加到收藏夹

Article Physics, Mathematical

Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

A Mostafazadeh

JOURNAL OF MATHEMATICAL PHYSICS (2002)

添加到收藏夹

Article Physics, Multidisciplinary

Experimental observation of the topological structure of exceptional points

C Dembowski et al.

PHYSICAL REVIEW LETTERS (2001)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.