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Non-Hermitian Topological Phenomena: A Review

Okuma, Nobuyuki Sato, Masatoshi 京都大学 DOI:10.1146/annurev-conmatphys-040521-033133

2023

概要

The past decades have witnessed an explosion of interest in topological materials, and a lot of mathematical concepts have been introduced in condensed matter physics. Among them, the bulk-boundary correspondence is the central topic in topological physics, which has inspired researchers to focus on boundary physics. Recently, the concepts of topological phases have been extended to non-Hermitian Hamiltonians, whose eigenvalues can be complex. Besides the topology, non-Hermiticity can also cause a boundary phenomenon called the non-Hermitian skin effect, which is an extreme sensitivity of the spectrum to the boundary condition. In this article, we review developments in non-Hermitian topological physics by focusing mainly on the boundary problem. As well as the competition between non-Hermitian and topological boundary phenomena, we discuss the topological nature inherent in non-Hermiticity itself.

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Contents

Annual Review of

Condensed Matter

Physics

Volume 14, 2023

Annu. Rev. Condens. Matter Phys. 2023.14:83-107. Downloaded from www.annualreviews.org

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A Journey Through Nonlinear Dynamics: The Case

of Temperature Gradients

Albert Libchaber p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 1

An Adventure into the World of Soft Matter

Dominique Langevin p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p21

Floquet States in Open Quantum Systems

Takashi Mori p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p35

Generalized Symmetries in Condensed Matter

John McGreevy p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p57

Non-Hermitian Topological Phenomena: A Review

Nobuyuki Okuma and Masatoshi Sato p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p83

Modeling Active Colloids: From Active Brownian Particles

to Hydrodynamic and Chemical Fields

Andreas Zöttl and Holger Stark p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 109

Spin Seebeck Effect: Sensitive Probe for Elementary Excitation, Spin

Correlation, Transport, Magnetic Order, and Domains in Solids

Takashi Kikkawa and Eiji Saitoh p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 129

Superconductivity and Local Inversion-Symmetry Breaking

Mark H. Fischer, Manfred Sigrist, Daniel F. Agterberg, and Youichi Yanase p p p p p p p p p p p p 153

Tensor Network Algorithms: A Route Map

Mari Carmen Bañuls p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 173

Spatial and Temporal Organization of Chromatin at Small

and Large Scales

Helmut Schiessel p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 193

Dissecting Flux Balances to Measure Energetic Costs in Cell Biology:

Techniques and Challenges

Easun Arunachalam, William Ireland, Xingbo Yang, and Daniel Needleman p p p p p p p p p p 211

Data-Driven Discovery of Robust Materials for Photocatalytic

Energy Conversion

Arunima K. Singh, Rachel Gorelik, and Tathagata Biswas p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 237

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Fermiology of Topological Metals

A. Alexandradinata and Leonid Glazman p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 261

Physics of Human Crowds

Alessandro Corbetta and Federico Toschi p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 311

Random Quantum Circuits

Matthew P.A. Fisher, Vedika Khemani, Adam Nahum, and Sagar Vijay p p p p p p p p p p p p p p p p 335

Annu. Rev. Condens. Matter Phys. 2023.14:83-107. Downloaded from www.annualreviews.org

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Swimming in Complex Fluids

Saverio E. Spagnolie and Patrick T. Underhill p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 381

Learning Without Neurons in Physical Systems

Menachem Stern and Arvind Murugan p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 417

Quantum Many-Body Scars: A Quasiparticle Perspective

Anushya Chandran, Thomas Iadecola, Vedika Khemani, and Roderich Moessner p p p p p p p p 443

Odd Viscosity and Odd Elasticity

Michel Fruchart, Colin Scheibner, and Vincenzo Vitelli p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p 471

Errata

An online log of corrections to Annual Review of Condensed Matter Physics articles may

be found at http://www.annualreviews.org/errata/conmatphys

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