We consider the relationship between the tight-binding Hamiltonian of the two-dimensional
honeycomb lattice of carbon atoms with nearest neighbor hop** only and the 2+ 1 …

Magic-angle twisted bilayer graphene (MATBG) exhibits a range of correlated phenomena
that originate from strong electron–electron interactions. These interactions make the Fermi …

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

Graphene, a two-dimensional crystal made of carbon atoms, provides a new and
unexpected bridge between low-and high-energy physics. The field has evolved very …

Recent years have seen a strong interest in topological effects within periodically driven
systems. In this work, we explore topological effects in two closely related 2-dimensional …

We show that Bose–Einstein condensates in a honeycomb optical lattice can be described
by a nonlinear Dirac equation in the long wavelength, mean field limit. Unlike nonlinear …

We show an efficient mechanism to control optical turbulence in systems with different
dispersion laws, including parabolic, sub-diffractive, hyper-diffractive or general fractional …

Non-Hermitian quantum systems exhibit many novel physical properties of quantum states.
We consider a non-Hermtian graphene model based on the tight-binding approximation with …

There are two types of edge states in graphene with/without magnetic field. One is a
quantum Hall edge state, which is topologically protected against small perturbation. The …

We discuss the relation between bulk topological invariants and the spectrum of surface
states in three-dimensional noninteracting topological insulators. By studying particular …