The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

The paradigmatic example of a topological phase of matter, the two-dimensional Chern
insulator,,,–, is characterized by a topological invariant consisting of a single integer, the …

The discovery of the quantum Hall effect (QHE), in two-dimensional electronic systems has
given topology a central role in condensed matter physics. Although the possibility of …

Discovered decades ago, the quantum Hall effect remains one of the most studied
phenomena in condensed matter physics and is relevant for research areas such as …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

Weyl points and line nodes are three-dimensional linear point and line degeneracies
between two bands. In contrast to two-dimensional Dirac points, which are their lower …

This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of
carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons …

We propose a family of structures that have “Dirac loops,” closed lines of Dirac nodes in
momentum space, on which the density of states vanishes linearly with energy. Those …

We study dynamical instability and chiral symmetry breaking in three-dimensional Weyl
semimetals, which turns Weyl semimetals into “axion insulators.” Charge density waves …