This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Classifying phases of matter is key to our understanding of many problems in physics. For
quantum-mechanical systems in particular, the task can be daunting due to the …

In this paper we show how the classification of topological phases in insulators and
superconductors is changed by interactions, in the case of one-dimensional systems. We …

Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving
the lattice translational symmetry. We conclusively show that a partially filled Chern insulator …

We analyze translationally invariant insulators with inversion symmetry that fall outside the
current established classification of topological insulators. These insulators exhibit no edge …

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

We consider (2+ 1)-dimensional topological quantum states which possess edge states
described by a chiral (1+ 1)-dimensional conformal field theory, such as, eg, a general …

We study two a priori unrelated constructions: the spectrum of edge modes in a band
topological insulator or superconductor with a physical edge, and the ground state …

We investigate in detail the behavior of the bipartite fluctuations of particle number N ̂ and
spin S ̂ z in many-body quantum systems, focusing on systems where such U (1) charges …

We investigate the behavior of a topological Chern insulator in the presence of disorder, with
a focus on its entanglement spectrum (EtS) constructed from the ground state. For systems …