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 …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

We show that the fundamental time-reversal invariant (TRI) insulator exists in 4+ 1
dimensions, where the effective-field theory is described by the (4+ 1)-dimensional Chern …

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic
surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions …

We study topological phases of interacting systems in two spatial dimensions in the absence
of topological order (ie, with a unique ground state on closed manifolds and no fractional …

We construct time-reversal invariant topological superconductors and superfluids in two and
three dimensions. These states have a full pairing gap in the bulk, gapless …

The ground state of translationally invariant insulators comprises bands which can assume
topologically distinct structures. There are few known examples where this distinction is …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …

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 …

We investigate the Hubbard model on the honeycomb lattice with intrinsic spin-orbit
interactions as a paradigm for two-dimensional topological band insulators in the presence …