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 …

Quantum spin liquids: a review

L Savary, L Balents - Reports on Progress in Physics, 2016 - iopscience.iop.org
Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

Quantum spin liquid states

Y Zhou, K Kanoda, TK Ng - Reviews of Modern Physics, 2017 - APS
This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Non-Abelian anyons and topological quantum computation

C Nayak, SH Simon, A Stern, M Freedman… - Reviews of Modern …, 2008 - APS
Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

Do** a Mott insulator: Physics of high-temperature superconductivity

PA Lee, N Nagaosa, XG Wen - Reviews of modern physics, 2006 - APS
This article reviews the physics of high-temperature superconductors from the point of view
of the do** of a Mott insulator. The basic electronic structure of cuprates is reviewed …

Quantum spin liquids

C Broholm, RJ Cava, SA Kivelson, DG Nocera… - Science, 2020 - science.org
BACKGROUND Years ago, Lev Landau taught us how to think about distinct phases of
matter through an order parameter that characterizes the symmetry-broken state relative to …

Deconfined quantum critical points

T Senthil, A Vishwanath, L Balents, S Sachdev… - Science, 2004 - science.org
The theory of second-order phase transitions is one of the foundations of modern statistical
mechanics and condensed-matter theory. A central concept is the observable order …

String-net condensation: A physical mechanism for topological phases

MA Levin, XG Wen - Physical Review B—Condensed Matter and Materials …, 2005 - APS
We show that quantum systems of extended objects naturally give rise to a large class of
exotic phases—namely topological phases. These phases occur when extended objects …

Fracton topological order, generalized lattice gauge theory, and duality

S Vijay, J Haah, L Fu - Physical Review B, 2016 - APS
We introduce a generalization of conventional lattice gauge theory to describe fracton
topological phases, which are characterized by immobile, pointlike topological excitations …

Quantum phases of Rydberg atoms on a kagome lattice

R Samajdar, WW Ho, H Pichler… - Proceedings of the …, 2021 - National Acad Sciences
We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice,
interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization …