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S. R. Elliott

Publications and source records attributed to S. R. Elliott.

At least 181 records · Page 10Linked to original sources
arXiv2004

Neutron-scattering studies of arsenic sulphide glasses

High-resolution neutron-scattering measurements have been performed on bulk glasses of As2S3 and As2S3I1.65 at a spallation neutron source. For the case of As2S3, an isotopic-substitution experiment involving the S isotope has allowed some of the various pair correlations contributing to the second peak in the radial distribution function to be determined by the method of first differences. For the ternary glass, it has been confirmed that iodine bonds preferentially to As atoms, and that on average each As atom is coordinated to one iodine and two sulphur atoms in the first coordination shell.

cond-mat.other↗
arXiv2003

Simulation of the physical properties of the chalcogenide glass As$_2$S$_3$ using a density-functional-based tight-binding method

We have used a density-functional-based tight-binding method in order to create structural models of the canonical chalcogenide glass, amorphous (a-)As$_2$S$_3$. The models range from one containing defects that are both chemical (homopolar bonds) and topological (valence-alternation pairs) in nature to one that is defect-free (stoichiometric). The structural, vibrational and electronic properties of the simulated models are in good agreement with experimental data where available. The electronic densities of states obtained for all models show clean optical band gaps. A certain degree of electron-state localization at the band edges is observed for all models, which suggests that photoinduced phenomena in chalcogenide glasses may not necessarily be attributed to the excitation of defects of only one particular kind.

cond-mat↗
arXiv2002

Spatial decay of the single-particle density matrix in tight-binding metals: +AFwAXA- analytic results in two dimensions

Analytical results for the asymptotic spatial decay of the density matrix $+AFw-rho({+AFw-bf r},{+AFw-bf r^+AFw-prime})$ in the tight-binding model of the two-dimensional metal are presented. In various dimensions D, it is found analytically and numerically that the density matrix decays with distance according to the power law, $+AFw-rho({+AFw-bf r},{+AFw-bf r^+AFw-prime}) +AFw-propto |{+AFw-bf r}-{+AFw-bf r^+AFw-prime}|^{-(D+-1)/2}$.

cond-mat.mtrl-sci↗
arXiv2002

Disorder-Induced Vibrational Localization

The vibrational equivalent of the Anderson tight-binding Hamiltonian has been studied, with particular focus on the properties of the eigenstates at the transition from extended to localized states. The critical energy has been found approximately for several degrees of force-constant disorder using system-size scaling of the multifractal spectra of the eigenmodes, and the spectrum at which there is no system-size dependence has been obtained. This is shown to be in good agreement with the critical spectrum for the electronic problem, which has been derived both numerically and by analytic means. Universality of the critical states is therefore suggested also to hold for the vibrational problem.

cond-mat.dis-nn↗
arXiv2002

Comment on "Evidence for Neutrinoless Double Beta Decay"

We comment on the recent claim for the experimental observation of neutrinoless double-beta decay. We discuss several limitations in the analysis provided in that paper and conclude that there is no basis for the presented claim.

hep-ex↗
arXiv2002

Vector vibrations and the Ioffe-Regel crossover in disordered lattices

The spectral density for vector vibrations in the f.c.c. lattice with force-constant disorder is analysed within the coherent potential approximation. The phase diagram showing the weak- and strong-scattering regimes is presented and compared with that for electrons. The weak-scattering regime for external long-wavelength vibrational plane waves is shown to be due to sum-rule correlations in the dynamical matrix. A secondary peak below the Brillouin peak for sufficiently large wavevectors is found for the lattice models. The results obtained are supported by precise numerical solutions.

cond-mat.dis-nn↗
arXiv2002

Instantaneous frequency and amplitude identification using wavelets: Application to glass structure

This paper describes a method for extracting rapidly varying, superimposed amplitude- and frequency-modulated signal components. The method is based upon the continuous wavelet transform (CWT) and uses a new wavelet which is a modification to the well-known Morlet wavelet to allow analysis at high resolution. In order to interpret the CWT of a signal correctly, an approximate analytic expression for the CWT of an oscillatory signal is examined via a stationary-phase approximation. This analysis is specialized for the new wavelet and the results are used to construct expressions for the amplitude and frequency modulations of the components in a signal from the transform of the signal. The method is tested on a representative, variable-frequency signal as an example before being applied to a function of interest in our subject area - a structural correlation function of a disordered material - which immediately reveals previously undetected features.

math-ph↗
arXiv2002

Lead Perchlorate as a Neutrino Detection Medium

Lead can be an ideal medium for the detection and study of neutrinos. Such a detector may be realized through the use of a lead perchlorate solution as a Cerenkov radiator. The basic physical properties of lead perchlorate solution are given and preparation of the solution for use in a Cerenkov detector is described. Results from investigations of light transmission in lead perchlorate solutions are also presented.

nucl-ex↗
arXiv2002

Spatial decay of the single-particle density matrix in insulators: analytic results in two and three dimensions

Analytic results for the asymptotic decay of the electron density matrix in insulators have been obtained in all three dimensions ($D=1 - 3$) for a tight-binding model defined on a simple cubic lattice. The anisotropic decay length is shown to be dependent on the energy parameters of the model. The existence of the power-law prefactor, $+AFw-propto r^{-D/2}$, is demonstrated.

cond-mat↗
arXiv2002

The Majorana Ge-76 Double-Beta Decay Project

The Majorana Experiment is a next-generation Ge-76 double-beta decay search. It will employ 500 kg of Ge, isotopically enriched to 86% in Ge-76, in the form of 200 detectors in a close-packed array for high granularity. Each crystal will be electronically segmented, with each region fitted with pulse-shape analysis electronics. A half-life sensitivity is predicted of 4.2e27 y or < 0.02-0.07 eV, depending on the nuclear matrix elements used to interpret the data.

hep-ex↗
arXiv2002

Nature of vibrational eigenmodes in topologically disordered solids

We use a local projectional analysis method to investigate the effect of topological disorder on the vibrational dynamics in a model glass simulated by molecular dynamics. Evidence is presented that the vibrational eigenmodes in the glass are generically related to the corresponding eigenmodes of its crystalline counterpart via disorder-induced level-repelling and hybridization effects. It is argued that the effect of topological disorder in the glass on the dynamical matrix can be simulated by introducing positional disorder in a crystalline counterpart.

cond-mat.dis-nn↗
arXiv2001

Disorder-induced zero-energy spectral singularity for random matrices with correlations

A zero-energy mid-band singularity has been found in the energy spectrum of random matrices with correlations between diagonal and off-diagonal elements typical of vibrational problems. Two representative classes of matrices, characterizing the instantaneous configurations in liquids and mechanically unstable lattices (which mimic the former) have been analysed. At least for disordered lattice models, the singularity is universal and its origin can be explained within the mean-field treatment.

cond-mat.dis-nn↗
arXiv2000

Connection between vibrational dynamics and topological order in simple glasses

We compare vibrational dynamics in two structurally distinct, simple monatomic model glasses simulated by molecular dynamics: the Lennard-Jones glass with an fcc-related structure and a glass with predominantly icosahedral short-range order. The former, characterised by a single local quasi-periodicity, supports only modes with acoustic behaviour. In the latter, the presence of optic modes and two incommensurate length scales is observed. This pattern of vibrational dynamics is shown to be closely related to that of a Frank-Kasper crystal having the same local topological order.

cond-mat.dis-nn↗
arXiv2000

Measuring Supernova Neutrino Temperatures using Lead Perchlorate

Neutrino interactions with lead produce neutrons in numbers that depend on neutrino energy and type. A detector based on lead perchlorate, for example, would be able to measure the energy deposited by electrons and gammas in coincidence with the number of neutrons produced. Sorting the electron energy spectra by the number of coincident neutrons permits the identification of the neutrino type that induced the reaction. This separation allows an analysis which can determine the temperatures of electron neutrinos and electron anti-neutrinos from a supernova in one experiment. The neutrino reaction signatures of lead perchlorate and the fundamentals of using this material as a neutrino detector are described.

astro-ph↗
arXiv2000

Vibrational properties of the one-component $σ$ phase

A structural model of a one-component $σ$-phase crystal has been constructed by means of molecular dynamics simulation. The phonon dispersion curves and the vibrational density of states were computed for this model. The dependence of the vibrational properties on the thermodynamical parameters was investigated. The vibrational density of states of the $σ$-phase structure is found to be similar to that of a one-component glass with icosahedral local order. On the basis of this comparison it is concluded that the $σ$ phase can be considered to be a good crystalline reference structure for this glass.

cond-mat↗
arXiv2000

Neutrino Detection using Lead Perchlorate

We discuss the possibility of using lead perchlorate as a neutrino detector. The primary neutrino interactions are given along with some relevant properties of the material.

nucl-ex↗