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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
- A. Tiwari, T. Bzdušek
- Physics
- 28 February 2019
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
- Bastien Lapierre, Kenny Choo, C. Tauber, A. Tiwari, T. Neupert, R. Chitra
- PhysicsPhysical Review Research
- 19 September 2019
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
- Bastien Lapierre, Kenny Choo, A. Tiwari, C. Tauber, T. Neupert, R. Chitra
- Physics
- 17 June 2020
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}.
TLDR
From gauge to higher gauge models of topological phases
- C. Delcamp, A. Tiwari
- MathematicsJournal of High Energy Physics
- 27 February 2018
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
- A. Tiwari, Xiao Chen, K. Shiozaki, S. Ryu
- PhysicsPhysical Review B
- 12 October 2017
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
- C. Delcamp, A. Tiwari
- MathematicsJournal of High Energy Physics
- 8 January 2019
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.
- A. Tiwari, Ming-hao Li, B. Bernevig, T. Neupert, S. Parameswaran
- PhysicsPhysical review letters
- 28 May 2019
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…
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