The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

In recent years, there has been considerable interest in the study of wave propagation in
nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led …

Traveling unidirectional localized edge states in optical honeycomb lattices are analytically
constructed. They are found in honeycomb arrays of helical waveguides designed to induce …

We theoretically investigate the flow of electromagnetic waves in complex honeycomb
photonic lattices with local PT symmetries. Such PT structure is introduced via a judicious …

The existence of the edge states at the interface between two media with different
topological properties is protected by symmetry, which makes such states robust against …

A systematic approach for deriving tight-binding approximations in general longitudinally
driven lattices is presented. As prototypes, honeycomb and staggered square lattices are …

We suggest a real physical system—the honeycomb lattice—as a possible realization of the
fractional Schrödinger equation (FSE) system, through utilization of the Dirac‐Weyl equation …

The combination of the two hot topics of spin-orbit coupling and honeycomb lattices leads to
the appearance of fascinating issues. In this paper, we investigate the existence and stability …

Optical metamaterials and metasurfaces, which emerged in the course of the last few
decades, have revolutionized our understanding of light and light–matter interaction. While …

The linear spectrum and corresponding Bloch modes of shallow honeycomb lattices near
Dirac points are investigated. Via perturbation theory, the dispersion relation is found to …