We develop a method to predict the existence of edge states in graphene ribbons for a large
class of boundaries. This approach is based on the bulk-edge correspondence between the …

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 …

We create an artificial graphene system with tunable interactions and study the crossover
from metallic to Mott insulating regimes, both in isolated and coupled two-dimensional …

By means of a microwave tight-binding analogue experiment of a graphenelike lattice, we
observe a topological transition between a phase with a pointlike band gap characteristic of …

We present the first experimental microwave realization of the one-dimensional Dirac
oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a …

It is commonly believed that topologically nontrivial one-dimensional systems support edge
states rather than bulk states at zero energy. In this work, we find an unanticipated case of …

The recent realization of valley physics in photonic systems has enriched the topological
phases of light with protected edge modes and shown applications in designing high …

Ultracold quantum gases serve as ideal models for the characterization of universal
properties of a variety of phenomena in quantum systems. In a formal analogy to …

We experimentally study the propagation of microwaves in an artificial honeycomb lattice
made of dielectric resonators. This evanescent propagation is well described by a tight …

Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …