Journal ArticleDOI
A CPA theory of excitations in structurally disordered materials using a lattice model
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In this paper, a coherent potential approximation for a distribution of transfer integrals (off-diagonal disorder) in a single band on a dilute close-packed lattice with first and second neighbour interactions is developed.Abstract:
A coherent potential approximation is developed for a distribution of transfer integrals (off-diagonal disorder) in a single band on a dilute close-packed lattice with first and second neighbour interactions. The moments of the density of states are evaluated and compared to exact results up to order six. It is suggested that this model provides a reasonable approximation to the structurally disordered material with the same distribution of transfer integrals arising via the pair distribution function. Results are computed for distributions based on experimental observation in liquid Fe and on those computed by the Percus-Yevick method for a liquid of hard spheres.read more
Citations
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Electronic structure and short-range order of amorphous and crystalline alloys in the coherent locator approximation
TL;DR: In this article, an estimate of the influence of topological disorder on the electronic structure was made analytically to obtain the exact solution of the coherent potential approximation (CPA) equations with a Lorenzian-like shape describing the density of states of pure metals.
Journal ArticleDOI
Dispersion and Damping of Phonon-Like Excitations in Disordered Systems
P. Kleinert,R. Leihkauf +1 more
TL;DR: In this paper, the dispersion and damping of phonon-like elementary excitations in structural disordered chains are investigated, and an approximate separation is carried out between the dynamical and structural disorder.
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A comparison of bond and site CPAS for dilute systems
TL;DR: In this paper, the properties of the bond CPA have been investigated in the Goldstone case and for pure off-diagonal disorder and the results have been compared with those obtained using other methods.
References
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Journal ArticleDOI
The theory and properties of randomly disordered crystals and related physical systems
TL;DR: A review of the methods for determining the behavior of solids whose properties vary randomly at the microscopic level, with principal attention to systems having composition variation on a well-defined structure (random "alloys") can be found in this paper.
Journal ArticleDOI
Electronic structure based on the local atomic environment for tight-binding bands
TL;DR: In this article, the density of states n(E) and other aspects of electronic structure in a tight-binding band, without use of Bloch's theorem or the band structure E(k), are presented.
Journal ArticleDOI
Numerical Solutions of the Percus—Yevick Equation for the Hard‐Sphere Potential
TL;DR: The exact solution of the Percus-Yevick equation for the radial distribution function of a classical fluid of hard spheres found by Wertheim is evaluated numerically for a range of number densities as mentioned in this paper.
Journal ArticleDOI
Collective motion in liquids
J Hubbard,J L Beeby +1 more
TL;DR: A theory of collective motion in liquids is described in this paper, which is based upon a new approximation which may be regarded as either a generalization of the random phase approximation or, alternatively, as a generalisation of the phonon theory of solids.
Journal ArticleDOI
The modification of electron energy levels by impurity atoms
TL;DR: In this article, the influence of localized impurities in solids may be represented either by (i) the effect of randomly distributed classical scattering centers for which only averaged quantities are meaningful or, as proved in this paper, by an equivalent quantum description which incorporates both the random character and the process of averaging.
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