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Electronic density of states on a randomly dilute Cayley tree
Luis Martín-Moreno,J. A. Vergés +1 more
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In this paper, the density of states on a randomly dilute Cayley tree (bonds are present with probability p) has been obtained both numerically and analytically.Abstract:
The density of states on a randomly dilute Cayley tree (bonds are present with probability p) has been obtained both numerically and analytically. The numerical procedure involves an average over randomly generated clusters of the dilute Cayley tree, whereas the analytical procedures define an effective medium through a self-consistency equation. One of them extends the coherent potential approximation to include the effect of nondiagonal disorder in disconnected lattices. This approximation reproduce very well the authors' simulation results in the whole range of dilution (0<p<1).read more
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Theoretical study of a-SiNxHy alloys
Pablo Ordejón,Felix Yndurain +1 more
TL;DR: In this article, an ab-initio method was used to study the amorphous SiN x H y ternary alloy and its electronic structure, charge distributions and vibrational modes.
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Disordered alloys with a Bethe lattice structure: a study of a new mean-field approximation
G Gomez-Santos,J. A. Vergés +1 more
TL;DR: In this article, a mean-field method was proposed to calculate the densities of states in random alloys with a Bethe lattice structure, which includes both diagonal and off-diagonal disorder as well as short-range order.
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A new renormalisation group scheme for the spectra of hierarchical lattices
TL;DR: In this article, a real-space renormalization method for calculating the density of states of disordered hierarchical lattices is proposed for the case of a linear chain and a Bethe lattice.
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Electronic structure of amorphous semiconducting alloys
Felix Yndurain,Pablo Ordejón +1 more
TL;DR: In this paper, the geometrical and electronic structures of various amorphous silicon-based semiconducting alloys were calculated and compared with the available experimental data and the photoemission response as well as the optical absorption spectra were calculated.
References
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Journal ArticleDOI
A selfconsistent theory of localization
TL;DR: In this paper, a selfconsistent solution of the equation for the self energy in second order perturbation theory, whose solution may be purely real almost everywhere (localized states) or complex everywhere (nonlocalised states), was found for the theory of electron localization in disordered systems.
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Localized States of a Binary Alloy
TL;DR: In this article, a non-degenerate tight-binding band arising primarily from one constituent of a substitutional alloy is considered, and an approximate calculation of their spectral weight is carried out.
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Localization and Quantum Percolation
TL;DR: In this article, generalized average inverse participation ratios are expanded in powers of the bond concentration, and the results are consistent with the existence of localized states at the center of the band, where Anderson transitions occur above classical percolation.
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Real-space renormalization-group analysis of quantum percolation
Takashi Odagaki,K. C. Chang +1 more
TL;DR: In this article, the quantum percolation threshold and critical index for the correlation length are obtained for both the site and bond problems in the square and simplecubic lattices.