Journal ArticleDOI
Systems with static and dynamic disorder: generalised coherent potential approximation
TLDR
In this article, a generalisation of the coherent potential approximation and its cluster extensions is developed for systems that have both inherent static disorder as well as potentials that fluctuate randomly with time.Abstract:
Using the ideas of the augmented space formalism introduced some time ago by this author, a generalisation of the coherent potential approximation and its cluster extensions is developed for systems that have both inherent static disorder as well as potentials that fluctuate randomly with time. The formalism reduces to standard results in the adiabatic limit.read more
Citations
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First-principles calculations of the electronic structure and phase stability of Ni-Mo alloys
TL;DR: In this paper, the volume-dependent total ground-state energies, and hence the different equilibrium cohesive properties, as functions of the Mo concentration, were calculated using the tight-binding linear muffin-tin orbital (TB-LMTO) method.
Journal ArticleDOI
The Influence of Local Anharmonism on the Low-Temperature Heat Conductivity in Disordered Systems
TL;DR: In this paper, the influence of local anharmonism on the low-temperature heat coefficient is analyzed in a disordered system with quasi-local modes, and the results obtained can be used in interpreting some experimental data.
Journal ArticleDOI
Cluster generalization of the coherent-potential approximation on the basis of projection formalism in augmented space. I. Theoretical analysis of different approximations
TL;DR: The general scheme of direct approximations with correct analytical properties on the basis of the self-energy representation as an operator continued fraction is proposed and is shown to lead to the well-known approxIMations.
Journal ArticleDOI
Conductivity in dirty systems-effect of dynamic electron-phonon coupling
TL;DR: Using the augmented space formalism introduced previously, a dynamical cluster coherent potential was developed to study the variation of resistivity with temperature, at low temperatures, for dirty alloys whose electrons near the Fermi level are sluggish.
Journal ArticleDOI
Study of the one-dimensional Holstein model using the augmented space approach
TL;DR: In this paper, a new formalism using the ideas of the augmented space recursion has been proposed to study the ground state properties of ordered and disordered one-dimensional Holstein model, which works equally well in all parametric regime and matches with the existing exact diagonalization and DMRG results.
References
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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
Averaged density of states in disordered systems
TL;DR: In this article, a continued fraction method is developed for calculating the averaged density of states in disordered systems, where Anderson model is treated specifically and no appeal is made to periodicity or Bloch's Theorem which is its consequence.
Journal ArticleDOI
Temperature Dependence of the Electron Density of States and dc Electrical Resistivity of Disordered Binary Alloys
An-Ban Chen,Gideon Weisz,A. Sher +2 more
TL;DR: In this paper, a model calculation of the temperature dependence of the electronic density of states and the electrical conductivity of disordered binary alloys, based on the coherentpotential approximation is made by introducing thermal disorder in the single-band model.
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Exciton–lattice interaction and the line shape of exciton absorption in molecular crystals
TL;DR: In this paper, a simple model which describes excitons in molecular crystals from a unified viewpoint is proposed, and the model has three characteristic energies: the halfwidth B of the exciton band, the average amplitude of the scattering potential for excitONS produced by lattice vibrations D and the inverse of the correlation time of the potential fluctuation γ on the order of lattice-vibration energies in units of C=1.
Journal ArticleDOI
Dynamical electron-phonon interaction and conductivity in strongly disordered metal alloys
Steven Girvin,Mats Jonson +1 more
TL;DR: In this paper, a theory of transport in random metal alloys is presented which focuses on certain model-independent features of the electron-phonon dynamics which have been previously neglected.