We study the lowest conduction band and the highest valence band states of Fibonacci superlattices, formed by different slabs of AlAs and GaAs grown along the (0 0 1) direction. We employ an empirical tight-binding Hamiltonian including spin-orbit coupling together with the surface Green's...

By employing a nonlinear three-mode model, we study the band structure of Bose–Einstein condensates in Fourier-Synthesized optical lattices, where the nonlinearity comes from the mean field treatment of interaction between atoms. In linear case, we present the band structure of the system. It...