Colloquium: Zoo of quantum-topological phases of matter

XG Wen - Reviews of Modern Physics, 2017 - APS
What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

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 …

Non-Hermitian perspective of the band structure in heavy-fermion systems

T Yoshida, R Peters, N Kawakami - Physical Review B, 2018 - APS
We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian
properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our …

Symmetry protected topological phases under decoherence

JY Lee, YZ You, C Xu - Quantum, 2025 - quantum-journal.org
We investigate mixed states exhibiting nontrivial topological features, focusing on symmetry-
protected topological (SPT) phases under various types of decoherence. Our findings …

Building crystalline topological phases from lower-dimensional states

SJ Huang, H Song, YP Huang, M Hermele - Physical Review B, 2017 - APS
We study the classification of symmetry-protected topological (SPT) phases with crystalline
symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions …

Superconductivity from valley fluctuations and approximate SO (4) symmetry in a weak coupling theory of twisted bilayer graphene

YZ You, A Vishwanath - npj Quantum Materials, 2019 - nature.com
The recent discovery of the Mott insulating and superconducting phases in twisted bilayer
graphene has generated tremendous research interest. Here, we develop a weak coupling …

Symmetric mass generation

J Wang, YZ You - Symmetry, 2022 - mdpi.com
The most well-known mechanism for fermions to acquire a mass is the Nambu–Goldstone–
Anderson–Higgs mechanism, ie, after a spontaneous symmetry breaking, a bosonic field …

Gauging spatial symmetries and the classification of topological crystalline phases

R Thorngren, DV Else - Physical Review X, 2018 - APS
We put the theory of interacting topological crystalline phases on a systematic footing. These
are topological phases protected by space-group symmetries. Our central tool is an …

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states

YZ You, AWW Ludwig, C Xu - Physical Review B, 2017 - APS
We consider the Sachdev-Ye-Kitaev (SYK) model as a model for the thermalized zero-
dimensional boundary of a many-body localized, fermionic symmetry protected topological …

One-dimensional symmetry protected topological phases and their transitions

R Verresen, R Moessner, F Pollmann - Physical Review B, 2017 - APS
We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …