In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

The theory of large radius polaron in the quantum wire is developed. The interaction of charge particles with interface optical phonons as well as with optical phonons localized in the quantum wire is taken into account. The interface phonon contribution is shown to be dominant for narrow quantum wires. The wave functions and polaron binding energy are found. It is determined that polaron bindi...

An atom attached to a micrometer-scale wire that is vibrating at a frequency ∼100 MHz and with displacement amplitude ∼1 nm experiences an acceleration magnitude ∼109 m s−2, approaching the surface gravity of a neutron star. As one application of such extreme noninertial forces in a mesoscopic setting, we consider a model two-path atom interferometer with one path consisting of the 100 MHz vibr...

It is shown that the conductance of a weakly disordered Luttinger-liquid quantum wire connected to non-interacting leads is affected by electron-electron interactions in the wire. This is in contrast to the case of a perfect wire the conductance of which is given by e2/h regardless of interactions in the wire. The disorder-induced correction to the conductance scales with temperature and/or the...

The effects of fabricational variations on the gain spectra of quantum wires are calculated within the limits of first order perturbation theory. Gain spectra and density of states for 50 A radius and 150 A radius cylindrical quantum wires are calculated and plotted for several different fabrication tolerances. The wave functions for a finite, cylindrical potential are calculated and a quasi-cr...

the effects of conduction band nonparabolicity, aluminum concentration and external electric field on the charge density and binding energy of an on-center hydrogenic donor impurity in a spherical quantum dot which is located at the center of a cylindrical nano-wire are studied. the energy eigenvalues and the corresponding wave functions are calculated using finite difference approximation with...

We derived a set of quantum mechanical balance equations for a closed electric circuit represented by a closed region 0. These equations were numerically simulated to obtain information about global and local transport properties. In particular we studied a pure quantum wire at low temperature containing only acoustical phonons. We also investigated the influence of a single elastic scatterer p...

The polarization dependence of the absorption coefficient for compressively and tensilely strained quantum wires is investigated as a function of strain, the lateral wire width, and the ratio between the wire and barrier widths. The results are markedly different from the case of an unstrained quantum wire and exhibit a significant variation with the sign and amount of built-in strain. In the c...