1977
DOI: 10.1103/physrevb.16.2424
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Multishell method: Exact treatment of a cluster in an effective medium

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Cited by 96 publications
(25 citation statements)
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“…The CPA is an effective method in describing the band structures of III-V alloys when disorder determines the band gap bowing5152, and in particular for calculation of detailed band properties such as effective masses and absorption line broadening53. However, the single-site CPA does not account for local environment effects which can be important to describe semiconductors and require cluster expansion methods54. The supercells used in this study are only idealized descriptions of the random system, since the structures are periodically repeated in space and therefore have a translational symmetry in contrast to the real random alloy.…”
Section: Methodsmentioning
confidence: 99%
“…The CPA is an effective method in describing the band structures of III-V alloys when disorder determines the band gap bowing5152, and in particular for calculation of detailed band properties such as effective masses and absorption line broadening53. However, the single-site CPA does not account for local environment effects which can be important to describe semiconductors and require cluster expansion methods54. The supercells used in this study are only idealized descriptions of the random system, since the structures are periodically repeated in space and therefore have a translational symmetry in contrast to the real random alloy.…”
Section: Methodsmentioning
confidence: 99%
“…The other approach is to start from the completely disordered phase, set up a perturbation in the form of concentration fluctuations associated with an ordered phase and study whether the alloy can sustain such a perturbation. This includes approaches like the generalized perturbation method (GPM) [3], the embedded cluster method (ECM) [4]. Most of the works on the electronic structure of the disordered alloys have been based so far on the coherent potential approximation (CPA).…”
Section: Introductionmentioning
confidence: 99%
“…The idea of an embedded cluster was originally used to extend the theory of disordered alloys beyond the single-site approximation [1,2]. It soon became clear that it is suitable for studies of impurities in bulk and atoms adsorbed on solid surfaces.…”
Section: Introductionmentioning
confidence: 99%
“…using the Hamiltonian with fixed parameters (for example [1,2,5,7]) or a charge self-consistent calculation for the cluster atoms can be done (for example [12][13][14][15][16]). …”
Section: Introductionmentioning
confidence: 99%