Search arXivSearch

arXiv · 1009.3873

Temperature dependence of reflectivity of amorphous silicon dioxide: Evidence of delocalized excitons weakly scattered by phonons

Abstract

We studied the reflectivity spectra of amorphous silicon dioxide detected under vacuum UV synchrotron radiation as a function of temperature between 10 and 300 K. Kramers-Kronig dispersion analysis of reflectivity spectra allowed us to determine the absorption coefficient in the range from 8 to 17.5 eV. Spectra show four main peaks, the spectral positions of which are consistent with literature data. An appreciable dependence of the line-shape on temperature is observed for the first two peaks only. We demonstrate the exciton peak at 10.4 eV to have a very good Lorentzian band-shape at all the examined temperatures. Based on existing theoretical models, this allows to argue excitons in SiO2 to be weakly scattered by phonons, thus retaining their mobility properties notwithstanding the effects of exciton-phonon coupling and of intrinsic structural disorder of amorphous SiO2. Moreover, the observed temperature dependence of the peak position together with the features of the Urbach absorption tail and of self-trapped exciton emission allow us to estimate the main parameters ruling exciton dynamics in SiO2. The features of the intrinsic Urbach absorption tail can be satisfactorily explained as a consequence of those of the first excitonic peak, supporting the interpretation of the Urbach tail in SiO2 as a consequence of the momentary self-trapping of the 10.4 eV exciton. Finally, the characteristics of the other energy peaks are discussed and an excitonic origin also for the 11.6 eV peak is put forward. On the whole, our results show that exciton dynamics accounts for all optical properties of pure silicon dioxide from 8 up to 11 eV.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

E. Vella, F. Messina, M. Cannas, R. Boscaino. 2010-09-20. Temperature dependence of reflectivity of amorphous silicon dioxide: Evidence of delocalized excitons weakly scattered by phonons. https://arxiv.org/abs/1009.3873

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

R-transforms for non-Hermitian matrices: a spherical integral approach

In this paper, we establish a connection between the formalism of $\mathcal{R}$-transforms for non-Hermitian random matrices and the framework of spherical integrals, using the replica method. This connection was previously proved in the Hermitian setting and in the case of bi-invariant random matrices. We show that the $\mathcal{R}$-transforms used in the non-Hermitian context in fact originate from a single scalar function of two variables. This provides a new and transparent way to compute $\mathcal{R}$-transforms, which until now had been known only in restricted cases such as bi-invariant, Hermitian, or elliptic ensembles.

cond-mat.dis-nn

Spectral boundaries of deterministic matrices deformed by rotationally invariant random non-Hermitian ensembles

One of the great miracles of random matrix theory is that, in the $N \to \infty$ limit, many otherwise intractable matrix problems with horrendously complicated finite-$N$ expressions admit remarkably simple and elegant asymptotic solutions. In this paper, we illustrate this phenomenon in the context of spectral boundaries (or spectral edges) for deformed random matrices. Specifically, we consider matrices of the form $\mathbf{A} + \mathbf{B}$, where $\mathbf{A}$ is a deterministic $N\times N$ matrix (not necessarily Hermitian) and $\mathbf{B}$ is a rotationally invariant random matrix. In the large-$N$ limit, we show that the complex eigenvalue distribution of $\mathbf{A} + \mathbf{B}$ satisfies remarkably simple boundary equations that depend on the $\mathcal{R}_1$ and $\mathcal{R}_2$ transforms of $\mathbf{B}$. We illustrate our results on several explicit random matrix ensembles and support them with numerical simulations.

cond-mat.dis-nn

Electrical conductivity of crack-template-based transparent conducting films: mean-field approximation, effective-medium theory, and simulation

In this work, crack-template-based transparent conducting films were modeled as networks corresponding to the edges of a two-dimensional Poisson--Voronoi diagram. Two types of networks were considered: the original one, in which the conductance of each edge was inversely proportional to its length, and the effective one, in which all edges had the same conductance obtained from the effective-medium theory. The mean-field approximation was used for analytical evaluation of the electrical conductivity. Direct numerical calculations for the Poisson--Voronoi diagram showed that the mean-field approximation overestimated the effective conductivity of the original network by approximately 13\%, and of the effective network by 79\%. In addition, a honeycomb network with an edge conductance distribution corresponding to the Poisson--Voronoi diagram was studied: for it, the predictions of the effective-medium theory turned out to be more accurate than for the Poisson--Voronoi diagram, which was explained by the greater structural homogeneity of the periodic honeycomb lattice. The results indicate that, when modeling crack-template-based transparent conducting films, the application of the mean-field approximation may lead to significant errors if the resistance of individual conductors is not simply proportional to their length. This possibility is discussed as a motivation for future studies of hierarchical cracks with variable width, which are not directly investigated here.

cond-mat.dis-nn