9 research outputs found
Exact solution of electronic transport in semiconductors dominated by scattering on polaronic impurities
The scattering of electrons on impurities with internal degrees of freedom is
bound to produce the signatures of the scatterer's own dynamics and results in
nontrivial electronic transport properties. Previous studies of polaronic
impurities in low-dimensional structures, like molecular junctions and
one-dimensional nanowire models, have shown that perturbative treatments cannot
account for a complex energy dependence of the scattering cross section in such
systems. Here we derive the exact solution of polaronic impurities shaping the
electronic transport in bulk (3D) systems. In the model with a short-ranged
electron-phonon interaction, we solve for and sum over all elastic and
inelastic partial cross sections, abundant in resonant features. The
temperature dependence of the charge mobility shows the power-law dependence,
, with being highly sensitive to impurity
parameters. The latter may explain nonuniversal power-law exponents observed
experimentally, e.g. in high-quality organic molecular semiconductors.Comment: 5 pages, 6 figure
Radial stability analysis of the continuous pressure gravastar
Radial stability of the continuous pressure gravastar is studied using the
conventional Chandrasekhar method. The equation of state for the static
gravastar solutions is derived and Einstein equations for small perturbations
around the equilibrium are solved as an eigenvalue problem for radial
pulsations. Within the model there exist a set of parameters leading to a
stable fundamental mode, thus proving radial stability of the continuous
pressure gravastar. It is also shown that the central energy density possesses
an extremum in rho_c(R) curve which represents a splitting point between stable
and unstable gravastar configurations. As such the rho_c(R) curve for the
gravastar mimics the famous M(R) curve for a polytrope. Together with the
former axial stability calculations this work completes the stability problem
of the continuous pressure gravastar.Comment: 17 pages, 5 figures, References corrected, minor changes wrt v1,
matches published versio
Dynamical Boson Stars
The idea of stable, localized bundles of energy has strong appeal as a model
for particles. In the 1950s John Wheeler envisioned such bundles as smooth
configurations of electromagnetic energy that he called {\em geons}, but none
were found. Instead, particle-like solutions were found in the late 1960s with
the addition of a scalar field, and these were given the name {\em boson
stars}. Since then, boson stars find use in a wide variety of models as sources
of dark matter, as black hole mimickers, in simple models of binary systems,
and as a tool in finding black holes in higher dimensions with only a single
killing vector. We discuss important varieties of boson stars, their dynamic
properties, and some of their uses, concentrating on recent efforts.Comment: 79 pages, 25 figures, invited review for Living Reviews in
Relativity; major revision in 201