Higher anomalies, higher symmetries, and cobordisms I: classification of higher-symmetry-protected topological states and their boundary fermionic/bosonic …
By developing a generalized cobordism theory, we explore the higher global symmetries
and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in …
and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in …
Towards a complete classification of symmetry-protected topological phases for interacting fermions in three dimensions and a general group supercohomology …
The classification and construction of symmetry-protected topological (SPT) phases in
interacting boson and fermion systems have become a fascinating theoretical direction in …
interacting boson and fermion systems have become a fascinating theoretical direction in …
Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms
We formulate a family of spin Topological Quantum Field Theories (spin-TQFTs) as fermionic
generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G …
generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G …
Construction and classification of symmetry-protected topological phases in interacting fermion systems
The classification and lattice model construction of symmetry-protected topological (SPT)
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
Non-invertible symmetry-protected topological order in a group-based cluster state
Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …
systems, there are relatively few microscopic lattice models explicitly realizing these …
Strange correlation function for average symmetry-protected topological phases
We design a strange correlator for the recently discovered average symmetry-protected
topological (ASPT) phases in $1 d $ and $2 d $. The strange correlator has long-range or …
topological (ASPT) phases in $1 d $ and $2 d $. The strange correlator has long-range or …
Fractional excitations in foliated fracton phases
Fractional excitations in fracton models exhibit novel features not present in conventional
topological phases: their mobility is constrained, there are an infinitude of types, and they …
topological phases: their mobility is constrained, there are an infinitude of types, and they …
From gauge to higher gauge models of topological phases
A bstract We consider exactly solvable models in (3+ 1) d whose ground states are
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …
Non-Abelian hybrid fracton orders
We introduce lattice gauge theories which describe three-dimensional, gapped quantum
phases exhibiting the phenomenology of both conventional three-dimensional topological …
phases exhibiting the phenomenology of both conventional three-dimensional topological …
String operators for Cheshire strings in topological phases
N Tantivasadakarn, X Chen - Physical Review B, 2024 - APS
Elementary point charge excitations in three-plus-one-dimensional (3+ 1 D) topological
phases can condense along a line and form a descendant excitation called the Cheshire …
phases can condense along a line and form a descendant excitation called the Cheshire …