2,027 research outputs found
Non-renormalization of two and three Point Correlators of N=4 SYM in N=1 Superspace
Certain two and three point functions of gauge invariant primary operators of
SYM are computed in superspace keeping all the
-components. This allows one to read off many component descendent
correlators. Our results show the only possible corrections to the
free field correlators are contact terms. Therefore they vanish for operators
at separate points, verifying the known non-renormalization theorems. This also
implies the results are consistent with supersymmetry even though
the Lagrangian we use has only manifest supersymmetry. We repeat
some of the calculations using supersymmetric Landau gauge and obtain, as
expected, the same results as those of supersymmetric Feynman gauge.Comment: 10 pages, 20 eps figures, references adde
Fluctuations of the Josephson current and electron-electron interactions in superconducting weak links
We derive a microscopic effective action for superconducting contacts with
arbitrary transmission distribution of conducting channels. Provided
fluctuations of the Josephson phase remain sufficiently small our formalism
allows to fully describe fluctuation and interaction effects in such systems.
As compared to the well studied tunneling limit our analysis yields a number of
qualitatively new features which occur due to the presence of subgap Andreev
bound states in the system. We investigate the equilibrium supercurrent noise
and evaluate the electron-electron interaction correction to the Josephson
current across superconducting contacts. At T=0 this correction is found to
vanish for fully transparent contacts indicating the absence of Coulomb effects
in this limit.Comment: 12 pages, 4 figure
Transport Processes in Metal-Insulator Granular Layers
Tunnel transport processes are considered in a square lattice of metallic
nanogranules embedded into insulating host to model tunnel conduction in real
metal/insulator granular layers. Based on a simple model with three possible
charging states (, or 0) of a granule and three kinetic processes
(creation or recombination of a pair, and charge transfer) between
neighbor granules, the mean-field kinetic theory is developed. It describes the
interplay between charging energy and temperature and between the applied
electric field and the Coulomb fields by the non-compensated charge density.
The resulting charge and current distributions are found to be essentially
different in the free area (FA), between the metallic contacts, or in the
contact areas (CA), beneath those contacts. Thus, the steady state dc transport
is only compatible with zero charge density and ohmic resistivity in FA, but
charge accumulation and non-ohmic behavior are \emph{necessary} for conduction
over CA. The approximate analytic solutions are obtained for characteristic
regimes (low or high charge density) of such conduction. The comparison is done
with the measurement data on tunnel transport in related experimental systems.Comment: 10 pages, 11 figures, 1 reference corrected, acknowlegments adde
Density of states in d-wave superconductors of finite size
We consider the effect of the finite size in the ab-plane on the surface
density of states (DoS) in clean d-wave superconductors. In the bulk, the DoS
is gapless along the nodal directions, while the presence of a surface leads to
formation of another type of the low-energy states, the midgap states with zero
energy. We demonstrate that finiteness of the superconductor in one of
dimensions provides the energy gap for all directions of quasiparticle motion
except for \theta=45 degrees (\theta is the angle between the trajectory and
the surface normal); then the angle-averaged DoS behaves linearly at small
energies. This result is valid unless the crystal is 0- or 45-oriented (\alpha
\ne 0 or 45 degrees, where \alpha is the angle between the a-axis and the
surface normal). In the special case of \alpha=0, the spectrum is gapped for
all trajectories \theta; the angle-averaged DoS is also gapped. In the special
case of \alpha=45, the spectrum is gapless for all trajectories \theta; the
angle-averaged DoS is then large at low energies. In all the cases, the
angle-resolved DoS consists of energy bands that are formed similarly to the
Kronig-Penney model. The analytical results are confirmed by a self-consistent
numerical calculation.Comment: 9 pages (including 5 EPS figures), REVTeX
Impurity band in clean superconducting weak links
Weak impurity scattering produces a narrow band with a finite density of
states near the phase difference in the mid-gap energy spectrum of
a macroscopic superconducting weak link. The equivalent distribution of
transmission coefficients of various cunducting quantum channels is found.Comment: 4 pages, 4 figures, changed conten
Direct Observation of Early-stage Quantum Dot Growth Mechanisms with High-temperature Ab Initio Molecular Dynamics
Colloidal quantum dots (QDs) exhibit highly desirable size- and
shape-dependent properties for applications from electronic devices to imaging.
Indium phosphide QDs have emerged as a primary candidate to replace the more
toxic CdSe QDs, but production of InP QDs with the desired properties lags
behind other QD materials due to a poor understanding of how to tune the growth
process. Using high-temperature ab initio molecular dynamics (AIMD)
simulations, we report the first direct observation of the early stage
intermediates and subsequent formation of an InP cluster from separated indium
and phosphorus precursors. In our simulations, indium agglomeration precedes
formation of In-P bonds. We observe a predominantly intercomplex pathway in
which In-P bonds form between one set of precursor copies while the carboxylate
ligand of a second indium precursor in the agglomerated indium abstracts a
ligand from the phosphorus precursor. This process produces an indium-rich
cluster with structural properties comparable to those in bulk zinc-blende InP
crystals. Minimum energy pathway characterization of the AIMD-sampled reaction
events confirms these observations and identifies that In-carboxylate
dissociation energetics solely determine the barrier along the In-P bond
formation pathway, which is lower for intercomplex (13 kcal/mol) than
intracomplex (21 kcal/mol) mechanisms. The phosphorus precursor chemistry, on
the other hand, controls the thermodynamics of the reaction. Our observations
of the differing roles of precursors in controlling QD formation strongly
suggests that the challenges thus far encountered in InP QD synthesis
optimization may be attributed to an overlooked need for a cooperative tuning
strategy that simultaneously addresses the chemistry of both indium and
phosphorus precursors.Comment: 40 pages, 9 figures, submitted for publicatio
Coherent current states in mesoscopic four-terminal Josephson junction
A theory is offered for the ballistic 4-terminal Josephson junction. The
studied system consists of a mesoscopic two-dimensional normal rectangular
layer which is attached in each side to the bulk superconducting banks
(terminals). The relation between the currents through the different terminals,
which is valid for arbitrary temperatures and junction sizes, is obtained. The
nonlocal coupling of the supercurrents leads to a new effect, specific for the
mesoscopic weak link between two superconducting rings; an applied magnetic
flux through one of the rings produces a magnetic flux in the other ring even
in the absence of an external flux through the other one. The phase dependent
distributions of the local density of Andreev states, of the supercurrents and
of the induced order parameter are obtained. The "interference pattern" for the
anomalous average inside the two dimensional region can be regulated by the
applied magnetic fluxes or the transport currents. For some values of the phase
differences between the terminals, the current vortex state and the two
dimensional phase slip center are appeared.Comment: 17 pages in Latex and 6 ps Figures. Will be published in Low
Temp.Phy
Full Counting Statistics of a charge shuttle
We study the charge transfer in a small grain oscillating between two leads.
Coulomb blockade restricts the charge fluctuations in such a way that only zero
or one additional electrons can sit on the grain. The system thus acts as a
charge shuttle. We obtain the full counting statistics of charge transfer and
discuss its behavior. For large oscillation amplitude the probability of
transferring electrons per cycle is strongly peaked around one. The
peak is asymmetric since its form is controlled by different parameters for
and . Under certain conditions the systems behaves
as if the effective charge is 1/2 of the elementary one. Knowledge of the
counting statistics gives a new insight on the mechanism of charge transfer.Comment: 8 pages, 6 figures. Minor revisions. Phys. Rev. B (in press
Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
Non-dissipative Josephson current through nanoscale superconducting
constrictions is carried by spectroscopically sharp energy states, so-called
Andreev bound states. Although theoretically predicted almost 40 years ago, no
direct spectroscopic evidence of these Andreev bound states exists to date. We
propose a novel type of spectroscopy based on embedding a superconducting
constriction, formed by a single-level molecule junction, in a microwave QED
cavity environment. In the electron-dressed cavity spectrum we find a polariton
excitation at twice the Andreev bound state energy, and a superconducting-phase
dependent ac Stark shift of the cavity frequency. Dispersive measurement of
this frequency shift can be used for Andreev bound state spectroscopy.Comment: Published version; 4+ pages, 3 figure
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