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 …
graphene has generated tremendous research interest. Here, we develop a weak coupling …
Topological zero-dimensional defect and flux states in three-dimensional insulators
In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …
the bulk can bind topological electronic states. We here further extend the classification of …
Non-Abelian string and particle braiding in topological order: Modular representation and -dimensional twisted gauge theory
String and particle braiding statistics are examined in a class of topological orders described
by discrete gauge theories with a gauge group G and a 4-cocycle twist ω 4 of G's …
by discrete gauge theories with a gauge group G and a 4-cocycle twist ω 4 of G's …
Spin-resolved topology and partial axion angles in three-dimensional insulators
Symmetry-protected topological crystalline insulators (TCIs) have primarily been
characterized by their gapless boundary states. However, in time-reversal-(T-) invariant …
characterized by their gapless boundary states. However, in time-reversal-(T-) invariant …
Field-theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology, and beyond
The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack
of symmetry-breaking order parameters and intrinsic topological orders. For this reason, it is …
of symmetry-breaking order parameters and intrinsic topological orders. For this reason, it is …
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+ 1 and 3+ 1 dimensions
Abstract Topological Quantum Field Theories (TQFTs) pertinent to some emergent low
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …
Time reversal, SU (N) Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3+ 1D
We introduce a web of strongly correlated interacting 3+ 1D topological superconductors/
insulators of 10 particular global symmetry groups of Cartan classes, realizable in electronic …
insulators of 10 particular global symmetry groups of Cartan classes, realizable in electronic …
Generalized Modular Transformations in Topologically Ordered Phases and Triple Linking Invariant of Loop Braiding
In topologically ordered quantum states of matter in (2+ 1) D (spacetime dimensions), the
braiding statistics of anyonic quasiparticle excitations is a fundamental characterizing …
braiding statistics of anyonic quasiparticle excitations is a fundamental characterizing …
Fusion rules and shrinking rules of topological orders in five dimensions
A bstract As a series of work about 5D (spacetime) topological orders, here we employ the
path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang …
path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang …
Bosonic anomalies, induced fractional quantum numbers, and degenerate zero modes: The anomalous edge physics of symmetry-protected topological states
The boundary of symmetry-protected topological states (SPTs) can harbor new quantum
anomaly phenomena. In this work, we characterize the bosonic anomalies introduced by the …
anomaly phenomena. In this work, we characterize the bosonic anomalies introduced by the …