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Bulk-boundary correspondence in (3+1)-dimensional topological phases
We discuss (2+1)-dimensional gapless surface theories of bulk (3+1)-dimensional topological phases, such as the BF theory at level $\mathrm{K}$, and its generalization. In particular, we put these
Non-Abelian topology of nodal-line rings in PT -symmetric systems
Nodal lines inside the momentum space of three-dimensional crystalline solids are topologically stabilized by a π flux of Berry phase. Nodal-line rings in PT-symmetric systems with negligible
Wilson operator algebras and ground states of coupled BF theories
The multi-flavor $BF$ theories in (3+1) dimensions with cubic or quartic coupling are the simplest topological quantum field theories that can describe fractional braiding statistics between
Emergent black hole dynamics in critical Floquet systems
While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. We study such an exceptional class in periodically driven
Fine structure of heating in a quasiperiodically driven critical quantum system
We study the heating dynamics of a generic one dimensional critical system when driven quasiperiodically. Specifically, we consider a Fibonacci drive sequence comprising the Hamiltonian of uniform
Unconventional Transverse Transport above and below the Magnetic Transition Temperature in Weyl Semimetal EuCd_{2}As_{2}.
  • Y. Xu, L. Das, T. Shang
  • Physics, Materials Science
    Physical review letters
  • 19 February 2021
A combined electrical and thermoelectrical transport study on the magnetic Weyl semimetal EuCd_{2}As_{2}.
From gauge to higher gauge models of topological phases
A bstractWe consider exactly solvable models in (3+1)d whose ground states are described by topological lattice gauge theories. Using simplicial arguments, we emphasize how the consistency condition
Bosonic topological phases of matter: Bulk-boundary correspondence, symmetry protected topological invariants, and gauging
We analyze $2+1d$ and $3+1d$ Bosonic Symmetry Protected Topological (SPT) phases of matter protected by onsite symmetry group $G$ by using dual bulk and boundary approaches. In the bulk we study an
On 2-form gauge models of topological phases
A bstractWe explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B2G of the symmetry group G, and they
Unhinging the Surfaces of Higher-Order Topological Insulators and Superconductors.
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting