Non-Hermitian topological phenomena: A review

N Okuma, M Sato - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
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 …

Generalized symmetries in condensed matter

J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
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Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

[BOOK][B] Berry phases in electronic structure theory: electric polarization, orbital magnetization and topological insulators

D Vanderbilt - 2018 - books.google.com
Over the past twenty-five years, mathematical concepts associated with geometric phases
have come to occupy a central place in our modern understanding of the physics of …

Topological bands for ultracold atoms

NR Cooper, J Dalibard, IB Spielman - Reviews of modern physics, 2019 - APS
There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

Non-Abelian topological order and anyons on a trapped-ion processor

M Iqbal, N Tantivasadakarn, R Verresen, SL Campbell… - Nature, 2024 - nature.com
Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

Cluster state as a noninvertible symmetry-protected topological phase

S Seifnashri, SH Shao - Physical Review Letters, 2024 - APS
We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …

Lecture notes on generalized symmetries and applications

R Luo, QR Wang, YN Wang - Physics Reports, 2024 - Elsevier
In this lecture note, we give a basic introduction to the rapidly develo** concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

Floquet topological insulators for sound

R Fleury, AB Khanikaev, A Alu - Nature communications, 2016 - nature.com
The unique conduction properties of condensed matter systems with topological order have
recently inspired a quest for the similar effects in classical wave phenomena. Acoustic …

Topological crystalline insulators and topological superconductors: From concepts to materials

Y Ando, L Fu - Annu. Rev. Condens. Matter Phys., 2015 - annualreviews.org
In this review, we discuss recent progress in the explorations of topological materials
beyond topological insulators; specifically, we focus on topological crystalline insulators and …