189 citations · 971 across the 13 of their papers we have counts for
14 papers
Ground State Degeneracy of Infinite-Component Chern-Simons-Maxwell Theories: Foliated vs. Non-foliated Fracton Orders
Xie Chen, Ho Tat Lam, Xiuqi Ma
Infinite-component Chern-Simons-Maxwell theories with a block-Toeplitz K matrix provide a vast landscape of gapped and gapless, foliated and non-foliated fracton orders. In this pa…
Universal entanglement signatures of foliated fracton phases
Wilbur Shirley, Kevin Slagle, Xie Chen
Fracton models exhibit a variety of exotic properties and lie beyond the conventional framework of gapped topological order. In a previous work, we generalized the notion of gapped…
Fracton topological order via coupled layers
Han Ma, Ethan Lake, Xie Chen +1
In this work, we develop a coupled layer construction of fracton topological orders in spatial dimensions. These topological phases have sub-extensive topological ground-stat…
Symmetry Fractionalization in Two Dimensional Topological Phases
Xie Chen
Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D topological system can transform under symmetry in a fractional way. For example in fraction…
Symmetry fractionalization and anomaly detection in three-dimensional topological phases
Xie Chen, Michael Hermele
In a phase with fractional excitations, topological properties are enriched in the presence of global symmetry. In particular, fractional excitations can transform under symmetry i…
Time reversal invariant gapped boundaries of the double semion state
Fiona Burnell, Xie Chen, Alexei Kitaev +2
The boundary of a fractionalized topological phase can be gapped by condensing a proper set of bosonic quasiparticles. Interestingly, in the presence of a global symmetry, such a b…
Flux-fusion anomaly test and bosonic topological crystalline insulators
Michael Hermele, Xie Chen
We introduce a method, dubbed the flux-fusion anomaly test, to detect certain anomalous symmetry fractionalization patterns in two-dimensional symmetry enriched topological (SET) p…
Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
Max A. Metlitski, Lukasz Fidkowski, Xie Chen +1
Three dimensional topological superconductors with time reversal symmetry (class DIII) are indexed by an integer , the number of surface Majorana cones, according to the free fe…
Anomalous Symmetry Fractionalization and Surface Topological Order
Xie Chen, Fiona J. Burnell, Ashvin Vishwanath +1
In addition to possessing fractional statistics, anyon excitations of a 2D topologically ordered state can realize symmetry in distinct ways , leading to a variety of symmetry enri…
`Gauging' time reversal symmetry in tensor network states
Xie Chen, Ashvin Vishwanath
It is well known that unitary symmetries can be `gauged', i.e. defined to act in a local way, which leads to a corresponding gauge field. Gauging, for example, the charge conservat…
Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
Xie Chen, Lukasz Fidkowski, Ashvin Vishwanath
The surfaces of three dimensional topological insulators (3D TIs) are generally described as Dirac metals, with a single Dirac cone. It was previously believed that a gapped surfac…
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
Lukasz Fidkowski, Xie Chen, Ashvin Vishwanath
Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with…
Symmetry Protected Quantum State Renormalization
Ching-Yu Huang, Xie Chen, Feng-Li Lin
Symmetry protected topological (SPT) phases with gapless edge excitations have been shown to exist in principle in strongly interacting bosonic/fermionic systems and it is highly d…
Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
F. J. Burnell, Xie Chen, Lukasz Fidkowski +1
We construct an exactly soluble Hamiltonian on the D=3 cubic lattice, whose ground state is a topological phase of bosons protected by time reversal symmetry, i.e a symmetry protec…