Fractional disclination charge in two-dimensional -symmetric topological crystalline insulators
Robust fractional charge localized at disclination defects has recently been found as a
topological response in C 6-symmetric 2D topological crystalline insulators (TCIs). In this …
topological response in C 6-symmetric 2D topological crystalline insulators (TCIs). In this …
Fractional disclination charge and discrete shift in the Hofstadter butterfly
In the presence of crystalline symmetries, topological phases of matter acquire a host of
invariants leading to nontrivial quantized responses. Here we study a particular invariant …
invariants leading to nontrivial quantized responses. Here we study a particular invariant …
Quantized Charge Polarization as a Many-Body Invariant in Crystalline Topological States and Hofstadter Butterflies
We show how to define a quantized many-body charge polarization 𝒫→ for (2+ 1) D
topological phases of matter, even in the presence of nonzero Chern number and magnetic …
topological phases of matter, even in the presence of nonzero Chern number and magnetic …
Topological states from topological crystals
We present a scheme to explicitly construct and classify general topological states jointly
protected by an onsite symmetry group and a spatial symmetry group. We show that all …
protected by an onsite symmetry group and a spatial symmetry group. We show that all …
Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry
N Manjunath, M Barkeshli - Physical Review Research, 2021 - APS
Clean isotropic quantum Hall fluids in the continuum possess a host of symmetry-protected
quantized invariants, such as the Hall conductivity, shift, and Hall viscosity. Here we develop …
quantized invariants, such as the Hall conductivity, shift, and Hall viscosity. Here we develop …
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 …
Effective action approach to the filling anomaly in crystalline topological matter
In two dimensions, magnetic higher-order topological insulators (HOTIs) are characterized
by excess boundary charge and a compensating bulk “filling anomaly.” At the same time …
by excess boundary charge and a compensating bulk “filling anomaly.” At the same time …
Detecting subsystem symmetry protected topological order through strange correlators
We employ strange correlators to detect 2D subsystem symmetry protected topological
(SSPT) phases which are nontrivial topological phases protected by subsystem symmetries …
(SSPT) phases which are nontrivial topological phases protected by subsystem symmetries …
Continuum field theory of three-dimensional topological orders with emergent fermions and braiding statistics
Universal topological data of topologically ordered phases can be captured by topological
quantum field theory in continuous space time by taking the limit of low energies and long …
quantum field theory in continuous space time by taking the limit of low energies and long …
Higher-order entanglement and many-body invariants for higher-order topological phases
We discuss how strongly interacting higher-order symmetry protected topological (HOSPT)
phases can be characterized from the entanglement perspective: First, we introduce a …
phases can be characterized from the entanglement perspective: First, we introduce a …