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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… Expand

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… Expand

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… Expand

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… Expand

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… Expand

Unconventional Transverse Transport above and below the Magnetic Transition Temperature in Weyl Semimetal EuCd_{2}As_{2}.

- Y. Xu, L. Das,
+10 authors T. Shang - Physics, Materials SciencePhysical review letters
- 19 February 2021

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… Expand

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… Expand

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… Expand

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… Expand

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