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 …
Quantum Hall physics: Hierarchies and conformal field theory techniques
The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …
matter physics during the past 30 years, has generated many ground-breaking new ideas …
Vortexability: A unifying criterion for ideal fractional Chern insulators
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
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 …
Geometric response and disclination-induced skin effects in non-Hermitian systems
We study the geometric response of three-dimensional non-Hermitian crystalline systems
with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that …
with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that …
Chiral central charge from a single bulk wave function
A (2+ 1)-dimensional gapped quantum many-body system can have a topologically
protected energy current at its edge. The magnitude of this current is determined entirely by …
protected energy current at its edge. The magnitude of this current is determined entirely by …
Bimetric theory of fractional quantum hall states
A Gromov, DT Son - Physical Review X, 2017 - APS
We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states
that describes the topological properties and a gapped collective excitation, known as the …
that describes the topological properties and a gapped collective excitation, known as the …
Odd viscosity in two-dimensional incompressible fluids
S Ganeshan, AG Abanov - Physical review fluids, 2017 - APS
In this work, we present observable consequences of a parity-violating odd-viscosity term in
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …
Modular commutator in gapped quantum many-body systems
In Phys. Rev. Lett. 128, 176402 (2022) 0031-9007 10.1103/PhysRevLett. 128.176402, we
argued that the chiral central charge—a topologically protected quantity characterizing the …
argued that the chiral central charge—a topologically protected quantity characterizing the …
Very-high-energy collective states of partons in fractional quantum hall liquids
The low-energy physics of fractional quantum Hall (FQH) states—a paradigm of strongly
correlated topological phases of matter—to a large extent is captured by weakly interacting …
correlated topological phases of matter—to a large extent is captured by weakly interacting …