The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

The application of topology, the mathematics of conserved properties under continuous
deformations, is creating a range of new opportunities throughout photonics. This field was …

Topological insulators are a new phase of matter, with the striking property that conduction
of electrons occurs only on their surfaces,,. In two dimensions, electrons on the surface of a …

Artificial honeycomb lattices offer a tunable platform for studying massless Dirac
quasiparticles and their topological and correlated phases. Here we review recent progress …

Magnetic effects at optical frequencies are notoriously weak, so magneto-optical devices
must be large to create a sufficient effect. In graphene, it has been shown that …

Graphene, a two-dimensional honeycomb lattice of carbon atoms, has been attracting much
interest in recent years. Electrons therein behave as massless relativistic particles, giving …

This article provides a pedagogical review on Klein tunneling in graphene, ie the peculiar
tunneling properties of two-dimensional massless Dirac electrons. We consider two simple …

Graphene, a new material for the electron-device community, has many extraordinary
properties. Especially, it provides a perfect platform to explore the unique electronic property …

We analyze the transport of light in the bulk and at the edge of photonic Lieb lattices, whose
unique feature is the existence of a flat band representing stationary states in the middle of …

We experimentally demonstrate a topological transition of classical light in “photonic
graphene”:<? format?> an array of waveguides arranged in the honeycomb geometry. As …