On the basis of the observed short coherence lengths in the cuprates we argue that a BCS–Bose-Einstein condensation (BEC) crossover approach is an appropriate starting point for correcting the mean field approach of BCS and, thereby, for addressing pseudogap phenomena in these materials. Our version of the BCS-BEC approach is based on a particular Greens’ function decoupling scheme which should...

Sierpinki gasket antennas as example of fractal antennas show multiband characteristics. The computer simulation of Sierpinksi gasket monopole with finite ground needs prohibitively large computer memory and computational time. Hybrid methods consist of surface integral equation method and physical optics or uniform geometrical theory of diffraction is expected to alleviate this computational b...

An explicit solution of the BCS model, whose partition function is given by Tr e−βH(λ) where H(λ) = 1 Ld ∑ k,σ e(k)a + kσakσ + λ Ld 1 L2d ∑ k,p a + k↑a + −k↓a−p↓ap↑ is presented. The generating functional for the connected amputated Greens functions can be computed explicitely in arbitrary dimension d and for arbitrary energy momentum relation e(k). Symmetry breaking can be seen explicitely. Th...

The intense investigations of molecular devices, as an alternative to standard electronics components, underlines the need to model the conduction mechanisms of nano-scale conductors. In addition to measurements of the elastic conductance through point-contacts, atomic-wires and molecules, recent experiments have shown inelastic tunneling currents through, for example, a hydrogen molecule attac...