Understanding the structure of the wavefunction is essential for depicting the surface states of a topological insulator. Owing to the inherent strong spin–orbit coupling, the conventional hand-waving picture of the Dirac surface state with a single chiral spin texture is incomplete, as this ignores the orbital components of the Dirac wavefunction and their coupling to the spin textures. Here, ...

An automatic microscope system is designed to study the response of sperm motility to an annular laser trap. A continuous annular laser trap provides a parallel way to analyze and sort sperm based on their motility and to study the effects of laser radiation, optical force and external obstacles. In the described automatic microscope system, the phase contrast images of swimming sperm are digit...

We consider the evolution of triple junction clusters driven by surface diffusion flow. On line we use boundary conditions derived Garcke and Novick-Cohen as singular limit a Cahn-Hilliard equation with degenerated mobility. These are concurrency junction, angle between hypersurfaces, continuity chemical potentials flux-balance. For this system show stability its energy minimizers, i.e., standa...

We investigate the proximity-induced spin-orbit coupling in heterostructures of twisted graphene and monolayers transition-metal dichalcogenides (TMDCs) MoS$_2$, WS$_2$, MoSe$_2$, WSe$_2$ from first principles. identify strain, which is necessary to define commensurate supercells, as key factor affecting band offsets thus magnitudes proximity couplings. establish that for biaxially strained bet...

Although many analytical, experimental and numerical studies have focused on droplet motion, the mechanics of the droplet while still in its static state, and just before motion starts, are not well understood. A study of static droplets would shed light on the threshold voltage (or critical inclination) for initiating electrically (or gravitationally) induced droplet motion. Before the droplet...

We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit info...

Roughness generally consists of structures that are either oriented anisotropic in directions tangential to the surface or isotropic, a superposition both components. Interactions between roughness elements exert significant influence on fluid mechanical losses. Cost-effective maintenance functionality surfaces aerodynamically relevant components such as blades requires quantitative prediction ...

Visualization study of bubble growth with multiple tangential nozzles is investigated in a bubble absorber. Bubble behavior is studied with different flowing condition like still, co-current and counter-current flow of water. Effect of air flow rate, water flow rate, nozzle diameters, number of nozzles and orientation of nozzle angle with reference to vertical plane on bubble diameter is studie...