1,178 research outputs found
Nonlinear surface impurity in a semi-infinite 2D square lattice
We examine the formation of localized states on a generalized nonlinear
impurity located at, or near the surface of a semi-infinite 2D square lattice.
Using the formalism of lattice Green functions, we obtain in closed form the
number of bound states as well as their energies and probability profiles, for
different nonlinearity parameter values and nonlinearity exponents, at
different distances from the surface. We specialize to two cases: impurity
close to an "edge" and impurity close to a "corner". We find that, unlike the
case of a 1D semi-infinite lattice, in 2D, the presence of the surface helps
the formation of a localized state.Comment: 6 pages, 7 figures, submitted to PR
A Tonks Giradeau Gas in the Presence of a Local Potential
The physics of a Tonks-Giradeau Gas in the presence of a local potential is
studied. In order to evaluate the single particle density matrix (SPDM) of the
many-body ground state, the Wiger-Jordan transformation is used. The
eigenvector with the largest eigenvalue of the SPDM corresponds to the
"Bose-Einstein Condensate"(BEC) State. We find that the "BEC" state density at
the positon of the local potential decreases, as expected, in the case of a
repulsive potential. For an attractive potential, it decreases or increases
depending on the strength of the potential. The superfluidity of this system is
investigated both numerically and perturbatively. An experimental method for
detecting the effect of an impurity in a Tonks-Giradueau gas is discussed.Comment: 14 pages, 5 figure
Automated online preconcentration system for the determination of trace amounts of lead using Pb-selective resin and inductively coupled plasma-atomic emission spectrometry
An automated sequential-injection online preconcentration system was developed for the determination of lead by inductively coupled plasma - atomic emission spectrometry (ICP-AES). The preconcentration of lead was performed with a minicolumn containing a lead-selective resin, Analig Pb-01, which was installed between a selection and a switching valve. In an acidic condition ( pH 1), lead could be adsorbed on the resin. The concentrated lead was afterward eluted with 25 mu L of 0.06 M nitrilotriacetic acid (NTA) solution ( pH 9) and was subsequently transported into the nebulizer of ICP-AES for quantification. The selectivity of the resin toward lead was examined using a solution containing a mixture of 61 elements. When a sample volume of 5 mL was used, the quantitative collection of lead ( >= 97%) was achieved, along with an enrichment factor of 19, a sampling frequency of 12 samples hr(-1), a detection limit of 70 pg mL(-1), and a lowest quantification limit of 100 pg mL(-1). The linear dynamic range was 0.1 to 5 ng mL(-1), and the relative standard deviation (n = 9) was 0.5% at a 5 ng mL(-1) Pb level. The detection limit of 30 pg mL(-1) and lowest quantification limit of 50 pg mL(-1) could be achieved when 10 mL of sample volume was used. The accuracy of the proposed method was validated by determining lead in the standard reference material of river water (SLRS-4), and its applicability to the determination of lead in environmental river water samples was demonstrated.</p
Effect of hydrogen adsorption on the quasiparticle spectra of graphene
We use the non-interacting tight-binding model to study the effect of
isolated hydrogen adsorbates on the quasiparticle spectra of single-layer
graphene. Using the Green's function approach, we obtain analytic expressions
for the local density of states and the spectral function of hydrogen-doped
graphene, which are also numerically evaluated and plotted. Our results are
relevant for the interpretation of scanning tunneling microscopy and
angle-resolved photoemission spectroscopy data of functionalized graphene.Comment: 4 pages, 3 figures, minor corrections to tex
Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential
Quantum ratchets exhibit asymptotic currents when driven by a time-periodic
potential of zero mean if the proper spatio-temporal symmetries are broken.
There has been recent debate on whether directed currents may arise for
potentials which do not break these symmetries. We show here that, in the
presence of degeneracies in the quasienergy spectrum, long-lasting directed
currents can be induced, even if the time reversal symmetry is not broken. Our
model can be realized with ultracold atoms in optical lattices in the
tight-binding regime, and we show that the time scale of the average current
can be controlled by extremely weak fields.Comment: 4 pages, 4 figure
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Preliminary results from the dust flux monitoring instrument during the encounter of Stardust spacecraft with Wild-2 comet
On January 2, 2004, the Stardust spacecraft successfully encountered the Wild-2 comet. The Dust Flux Monitoring Instrument (DFMI) provided quantitative measurements of dust particle fluxes and particle mass distributions throughout the entire flythrough
Many-Impurity Effects in Fourier Transform Scanning Tunneling Spectroscopy
Fourier transform scanning tunneling spectroscopy (FTSTS) is a useful
technique for extracting details of the momentum-resolved electronic band
structure from inhomogeneities in the local density of states due to
disorder-related quasiparticle scattering. To a large extent, current
understanding of FTSTS is based on models of Friedel oscillations near isolated
impurities. Here, a framework for understanding many-impurity effects is
developed based on a systematic treatment of the variance Delta rho^2(q,omega)
of the Fourier transformed local density of states rho(q,\omega). One important
consequence of this work is a demonstration that the poor signal-to-noise ratio
inherent in rho(q,omega) due to randomness in impurity positions can be
eliminated by configuration averaging Delta rho^2(q,omega). Furthermore, we
develop a diagrammatic perturbation theory for Delta rho^2(q,omega) and show
that an important bulk quantity, the mean-free-path, can be extracted from
FTSTS experiments.Comment: 7 pages, 5 figures. A version of the paper with high resolution,
colour figures is available at
http://www.trentu.ca/physics/batkinson/FTSTS.ps.gz minor revisions in
response to refree report + figure 5 is modifie
Spectral, optical and transport properties of the adiabatic anisotropic Holstein model: Application to slightly doped organic semiconductors
Spectral, optical and transport properties of an anisotropic
three-dimensional Holstein model are studied within the adiabatic
approximation. The parameter regime is appropriate for organic semiconductors
used in single crystal based field effect transistors. Different approaches
have been used to solve the model: self-consistent Born approximation valid for
weak electron-phonon coupling, coherent potential approximation exact for
infinite dimensions, and numerical diagonalization for finite lattices. With
increasing temperature, the width of the spectral functions gets larger and
larger making the approximation of quasi-particle less accurate. On the
contrary, their peak positions are never strongly renormalized in comparison
with the bare ones. As expected, the density of states is characterized by an
exponential tail corresponding to localized states at low temperature. For weak
electron-lattice coupling, the optical conductivity follows a Drude behavior,
while, for intermediate electron-lattice coupling, a temperature dependent peak
is present at low frequency. For high temperatures and low particle densities,
the mobility always exhibits a power-law behavior as function of temperature.
With decreasing the particle density, at low temperature, the mobility shows a
transition from metallic to insulating behavior. Results are discussed in
connection with available experimental data.Comment: 9 pages, 7 figures, submitted to Phys. Rev.
Self-consistent Green's functions calculation of the nucleon mean-free path
The extension of Green's functions techniques to the complex energy plane
provides access to fully dressed quasi-particle properties from a microscopic
perspective. Using self-consistent ladder self-energies, we find both spectra
and lifetimes of such quasi-particles in nuclear matter. With a consistent
choice of the group velocity, the nucleon mean-free path can be computed. Our
results indicate that, for energies above 50 MeV at densities close to
saturation, a nucleon has a mean-free path of 4 to 5 femtometers.Comment: 5 pages, 4 figures. Minor changes, bibliography corrected. Accepted
version in Phys. Rev. Let
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