In this paper, a new design of demultiplexer based on two-dimensional photonic crystal ringresonator is proposed. The structure is made of a hexagonal lattice of silicon rods with therefractive index 3.46 in coefficient of air with refractive index 1. The transmission efficiencyand Quality factor for our proposed demultiplexer, respectively, are more than 65% and1600. The normalized transmissio...

We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice Z on the plane Z. We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on Z. Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are a...

We propose an experimental scheme to simulate and observe relativistic Dirac fermions with cold atoms in a hexagonal optical lattice. By controlling the lattice anisotropy, one can realize both massive and massless Dirac fermions and observe the phase transition between them. Through explicit calculations, we show that both the Bragg spectroscopy and the atomic density profile in a trap can be ...

The observation of spatial angle dependent lasing from a dye-doped two-dimensional photonic crystal (2D PC) holographic polymer dispersed liquid crystals made of hexagonal lattice structure is reported. With the increasing output angle of the laser beam in the plane perpendicular to the 2D PC, the lasing wavelength is red-shifted. By analyzing the lasing oscillation trace, we found that the eff...

Membrane pores spontaneously formed by antimicrobial peptides in membranes were crystallized for the first time by manipulating the sample hydration and temperature. Neutron diffraction shows that magainins and protegrins form stable pores in fully hydrated fluid membranes. At lower hydration levels or low temperature, the membrane multilayers crystallize. In one crystalline phase, the pores in...

Hexagonal manganites, such as h-LuMnO3, are ferroelectric with its polar axis along the hexagonal and have a narrow electronic bandgap (≈1.5 eV). Using Pt electrodes, h-LuMnO3 single crystals display strong rectification, characteristic of Schottky diode, large photoresponse. It is found that short circuit photocurrent density Jsc modulated (up to 25%) by direction polarization P, leading loop ...

Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-$1/2$) Bose gases $p$-orbital bands of two-dimensional lattices, and find that the system exhibits previously untouched as result interplay spin degrees freedom, contrast to normal Isi...

We investigate the electronic and cohesive properties of the hexagonal and cubic Laves phases of Fe2Ti by ab initio band structure calculations. In particular the stability range of these compounds is studied. In the volume range considered, the state of lowest energy is hexagonal (C14) and exhibits antiferromagnetic order. However, we find a slightly higher in energy lying ferromagnetic state ...