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 materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

A remarkable recent experiment has observed Mott insulator and proximate superconductor
phases in twisted bilayer graphene when electrons partly fill a nearly flat miniband that …

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum
phases with a symmetry G. They can all be smoothly connected to the same trivial product …

Chiral superconductivity is a striking quantum phenomenon in which an unconventional
superconductor spontaneously develops an angular momentum and lowers its free energy …

It has recently been shown that in every spatial dimension there exist precisely five distinct
classes of topological insulators or superconductors. Within a given class, the different …

We analyze pairing of fermions in two dimensions for fully gapped cases with broken parity
(P) and time reversal (T), especially cases in which the gap function is an orbital angular …

We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

Chiral superconductivity, which breaks time-reversal symmetry, can exhibit a wealth of
fascinating properties that are highly sought after for nanoscience applications. We identify …