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 …
Second, they have a nonzero energy gap for the excitations above the ground state. Third …
Classification of topological quantum matter with symmetries
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 …
exhibit fundamentally new physical phenomena with potential applications for novel devices …
Non-Hermitian perspective of the band structure in heavy-fermion systems
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 …
properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our …
Symmetry protected topological phases under decoherence
We investigate mixed states exhibiting nontrivial topological features, focusing on symmetry-
protected topological (SPT) phases under various types of decoherence. Our findings …
protected topological (SPT) phases under various types of decoherence. Our findings …
Building crystalline topological phases from lower-dimensional states
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 …
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
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 …
graphene has generated tremendous research interest. Here, we develop a weak coupling …
Symmetric mass generation
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 …
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 …
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
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 …
dimensional boundary of a many-body localized, fermionic symmetry protected topological …
One-dimensional symmetry protected topological phases and their transitions
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 …
dimension and address the open question of what characterizes their phase transitions. In …