A new approach to the electronic structure of two dimensional disordered alloys

Mello, Denise Fernandes de; Cabrera, G. G.

doi:10.1016/0038-1098(95)00151-4

Cited by 2 publications

(5 citation statements)

References 24 publications

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“…The above exact analytic results are extended heuristically to treat disordered systems. In this Section we show the procedure for two dimensions, 19 where the transverse part of the system is a finite chain. Local order effects are handled with a single variable, the so called Cowley's parameter σ 26 :…”

Section: A New Approach To Calculate the Dosmentioning

confidence: 99%

“…The computational scheme that will be employed here, was developed previously by the authors to study the electronic DOS in two-dimensional disordered binary alloys. 19 For completeness, we discuss in this Section some details of the method and present the extension to three dimensions in the next Section.…”

Section: A New Approach To Calculate the Dosmentioning

confidence: 99%

“…18 One effect marginally taken into account, and that may have important consequences, even within the one-electron picture, is the inclusion of Short-Range Order (SRO) correlations in the electronic properties of disordered systems. 19,20 Real disordered systems are not necessarily random, but may present different degrees of short-range order. In a binary alloy, for given concentrations of the atomic species, one may get configurations ranging from segregation to complete order as a function of the SRO properties.…”

Section: Introductionmentioning

confidence: 99%

“…20 We calculate the average electronic Density of States (DOS) using a previously developed method reported in Ref. 19. Our approach relies on one dimensional numerical techniques, and is efficiently applied to long stripes and bars of finite cross section with the idea that two and three dimensional lattices may be obtained by joining infinite linear chains.…”

Section: Introductionmentioning

confidence: 99%

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Local Order and Magnetic Field Effects on the Electronic Properties of Disordered Binary Alloys in the Quantum Site Percolation Limit

Mello

Cabrera

1999

Int. J. Mod. Phys. B

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Electronic properties of disordered binary alloys are studied via the calculation of the average Density of States (DOS) in two and three dimensions. We propose a new approximate scheme that allows for the inclusion of local order effects in finite geometries and extrapolates the behavior of infinite systems following finite-size scaling ideas. We particularly investigate the limit of the Quantum Site Percolation regime described by a tight-binding Hamiltonian. This limit was chosen to probe the role of short range order (SRO) properties under extreme conditions. The method is numerically highly efficient and asymptotically exact in important limits, predicting the correct DOS structure as a function of the SRO parameters. Magnetic field effects can also be included in our model to study the interplay of local order and the shifted quantum interference driven by the field. The average DOS is highly sensitive to changes in the SRO properties, and striking effects are observed when a magnetic field is applied near the segregated regime. The new effects observed are twofold: there is a reduction of the band width and the formation of a gap in the middle of the band, both as a consequence of destructive interference of electronic paths and the loss of coherence for particular values of the magnetic field. The above phenomena are periodic in the magnetic flux. For other limits that imply strong localization, the magnetic field produces minor changes in the structure of the average DOS.

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Section: A New Approach To Calculate the Dosmentioning

confidence: 99%

Section: A New Approach To Calculate the Dosmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Local Order and Magnetic Field Effects on the Electronic Properties of Disordered Binary Alloys in the Quantum Site Percolation Limit

Mello

Cabrera

1999

Int. J. Mod. Phys. B

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“…Although significant progress has been made in both theoretical and experimental aspects of disordered systems, many problems remain [1][2][3][4][5][6][7]. Progress in the study of these systems, in particular structurally disordered systems, has been relatively slow and delayed in comparison with that of ordered (crystalline) materials.…”

Section: Introductionmentioning

confidence: 99%

A new technique to calculate the electronic structure of two-dimensional disordered systems

Yıldız

Beeby

1997

J. Phys.: Condens. Matter

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The purpose of this work is to investigate the electronic structure of two-dimensional structurally disordered solids by means of a method based on multiple-scattering theory. The theoretical technique is applied to some two-dimensional models which can be varied from the limit of a perfect to a completely disordered structure. The models are continuous structural networks with different-fold coordinations of atoms in planar structures. The spectral density is determined through a self-consistent approach. Using the spectral density, the convergence of the technique is analysed through calculations of the density of electronic states, and the variation of the density of electronic states with respect to varying disorder in the structure is determined. In particular, the convergence of the technique for the calculation of the density of electronic states as a function of the size of the matrix representation used is confirmed and it is shown that the degree of disorder in two-dimensional systems significantly influences the density of electronic states.

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A new approach to the electronic structure of two dimensional disordered alloys

Cited by 2 publications

References 24 publications

Local Order and Magnetic Field Effects on the Electronic Properties of Disordered Binary Alloys in the Quantum Site Percolation Limit

Local Order and Magnetic Field Effects on the Electronic Properties of Disordered Binary Alloys in the Quantum Site Percolation Limit

A new technique to calculate the electronic structure of two-dimensional disordered systems

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