4,295 research outputs found
Special studies of AROD system concepts and designs
Signal processing techniques for range and range rate measurements in airborne range and orbit determinatio
Renormalized parameters and perturbation theory for an n-channel Anderson model with Hund's rule coupling: Asymmetric case
We explore the predictions of the renormalized perturbation theory for an
n-channel Anderson model, both with and without Hund's rule coupling, in the
regime away from particle-hole symmetry. For the model with n=2 we deduce the
renormalized parameters from numerical renormalization group calculations, and
plot them as a function of the occupation at the impurity site, nd. From these
we deduce the spin, orbital and charge susceptibilities, Wilson ratios and
quasiparticle density of states at T=0, in the different parameter regimes,
which gives a comprehensive overview of the low energy behavior of the model.
We compare the difference in Kondo behaviors at the points where nd=1 and nd=2.
One unexpected feature of the results is the suppression of the charge
susceptibility in the strong correlation regime over the occupation number
range 1 <nd <3.Comment: 9 pages, 17 figure
Fermi Liquids and the Luttinger Integral
The Luttinger Theorem, which relates the electron density to the volume of
the Fermi surface in an itinerant electron system, is taken to be one of the
essential features of a Fermi liquid. The microscopic derivation of this result
depends on the vanishing of a certain integral, the Luttinger integral , which is also the basis of the Friedel sum rule for impurity models,
relating the impurity occupation number to the scattering phase shift of the
conduction electrons. It is known that non-zero values of with
, occur in impurity models in phases with non-analytic low
energy scattering, classified as singular Fermi liquids. Here we show the same
values, , occur in an impurity model in phases with regular
low energy Fermi liquid behavior. Consequently the Luttinger integral can be
taken to characterize these phases, and the quantum critical points separating
them interpreted as topological.Comment: 5 pages 7 figure
Observation of a subgap density of states in superconductor-normal metal bilayers in the Cooper limit
We present transport and tunneling measurements of Pb-Ag bilayers with
thicknesses, and , that are much less than the superconducting
coherence length. The transition temperature, , and energy gap, ,
in the tunneling Density of States (DOS) decrease exponentially with
at fixed . Simultaneously, a DOS that increases linearly from the Fermi
energy grows and fills nearly 40% of the gap as is 1/10 of of bulk
Pb. This behavior suggests that a growing fraction of quasiparticles decouple
from the superconductor as goes to 0. The linear dependence is consistent
with the quasiparticles becoming trapped on integrable trajectories in the
metal layer.Comment: 5 pages and 4 figures. This version is just the same as the old
version except that we try to cut the unnecessary white space in the figures
and make the whole paper look more compac
Transient Stability Simulation by Waveform Relaxation Methods
In this paper, a new methodology for power system dynamic response calculations is presented. The technique known as the waveform relaxation has been extensively used in transient analysis of VLSI circuits and it can take advantage of new architectures in computer systems such as parallel processors. The application in this paper is limited to swing equations of a large power system. Computational results are presented
Phase diagram and critical points of a double quantum dot
We apply a combination of numerical renormalization group (NRG) and
renormalized perturbation theory (RPT) to a model of two quantum dots
(impurities) described by two Anderson impurity models hybridized to their
respective baths. The dots are coupled via a direct interaction and an
exchange interaction . The model has two types of quantum critical points,
one at to a local singlet state and one at to a
locally charge ordered state. The renormalized parameters which determine the
low energy behavior are calculated from the NRG. The results confirm the values
predicted from the RPT on the approach to the critical points, which can be
expressed in terms of a single energy scale in all cases. This includes
cases without particle-hole symmetry, and cases with asymmetry between the
dots, where there is also a transition at . The results give a
comprehensive quantitative picture of the behavior of the model in the low
energy Fermi liquid regimes, and some of the conclusions regarding the
emergence of a single energy scale may apply to a more general class of quantum
critical points, such as those observed in some heavy fermion systems.Comment: 18 pages 31 figure
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