Numerical study of the effect of the structural disorder on the electronic properties in disordered solids.


During the last few years, it became clear that the characterization of the nature of electron states in disordered systems is one of the fundamental topics in condensed matter physics. Along these lines, our present work consists of the study of the effect of the structural disorder on a wide range of electronic properties (density of electron states, participation ratio of electron states and distribution of energy levels). For this, we generate the structural disorder according to three different models: a model named "Shaken lattice’’, a model simulated by molecular dynamics and the model of the random triangles. Concerning the Hamiltonian model, we use a Tight-Binding model with explicit S-type orbitals for the first two structures and a clean Tight-Binding model for the model of the random triangles. Our results show that electron states are localized or delocalized depending on the type of the structural disorder used to generate a particular topologically disordered system. Key-words: structural disorder, random matrices, electronic localization, Shaken lattice, molecular dynamics, random triangles. The characterization of electron wave functions in disordered systems has been one of the main interests of condensed matter physicists. The focus has been particularly for some period of time on the nature o

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