Journal ArticleDOI
Cluster Scatterings and Spectra. I. Electrons in Substitutional Alloys
Reads0
Chats0
TLDR
In this article, a diagrammatical analysis of a previously reported set of approximations for the averaged electronic resolvent (z − H]−1 ) in substitutional alloys is made.Abstract:
A diagrammatical analysis of a previously reported set of approximations for the averaged electronic resolvent 〈[z - H]−1〉 in substitutional alloys is made. The results are found to be in correspondence with applicability of the method revealed in a numerical analysis beyond the coherent potential approximation. A new modification of the method is suggested which is free of shortcomings of the original version. It enables relatively very easy and in principle almost exact computer calculations of spectra of substitutional alloys, at least for simplest model Hamiltonians. A simple numerical example is solved.
[Russian Text Ignored].read more
Citations
More filters
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
Analytic properties of the coherent potential approximation and of its molecular generalizations
TL;DR: In this article, analytic properties of the coherent potential approximation (CPA) were derived, and it was shown that the conditional densities of states are always positive and that the iteration scheme, starting from the averaged t-matrix approximation, is always convergent to the CPA.
Journal ArticleDOI
Electronic density of states of disordered systems from information about local surroundings-MCPN approximation
TL;DR: In this paper, the density of states of binary alloys from a calculation using the matrix coherent potential approximation was obtained, even though the quasicrystalline assumption for the off-diagonal elements was not employed.
Journal ArticleDOI
A calculation of cluster effects in disordered alloys
TL;DR: In this article, a general method of incorporating the effects of clusters of constituent atoms in the calculation of the excitation density of states in a disordered material is presented, where an unknown parameter is introduced into the logarithm of the secular determinant of the problem and subsequently determined self-consistently by minimizing approximately the interaction between clusters.
References
More filters
Journal ArticleDOI
Coherent-Potential Model of Substitutional Disordered Alloys
TL;DR: In this paper, a substitutional alloy based on the concept of an effective or coherent potential was introduced, which, when placed on every site of the alloy lattice, will simulate the electronic properties of the actual alloy.
Journal ArticleDOI
Single-Site Approximations in the Electronic Theory of Simple Binary Alloys
TL;DR: In this paper, a single-band model Hamiltonian is used to describe the electronic structure of a three-dimensional disordered binary alloy, and several common theories based on the single-site approximation in a multiple-scattering description are compared with exact results for this Hamiltonian.
Journal ArticleDOI
Persistence and Amalgamation Types in the Electronic Structure of Mixed Crystals
Yositaka Onodera,Yutaka Toyozawa +1 more
TL;DR: In this article, the intrinsic optical spectra of binary solid solutions can be classified into two types, persistence and amalgamation types, and various situations realized in mixed crystals are discussed in the light of the experimental information.
Journal ArticleDOI
A Systematic Approach to the Problems of Random Lattices. I A Self-Contained First-Order Approximation Taking into Account the Exclusion Effect
Journal ArticleDOI
A New Method for the Electronic Structure of Random Lattice –the Coexistence of the Local and the Band Character–
TL;DR: In this article, a method to obtain the Green's function of a mixed crystal is studied in the tight binding approximation, where the crystal is devided into cells and the green's function in a cell is obtained for each atomic arrangement in it.
Related Papers (5)
Single-Site Approximations in the Electronic Theory of Simple Binary Alloys
Self-Consistent Average Green's Function in Random Lattices: A Generalized Coherent-Potential Approximation ( n ) and Its Diagrammatic Equivalents
B. G. Nickel,James A. Krumhansl +1 more