Local distribution approach to disordered binary alloys

Abstract

We study the electronic structure of the binary alloy and (quantum) percolation model. Our study is based on a self-consistent scheme for the distribution of local Green functions. We obtain detailed results for the density of states, from which the phase diagram of the binary alloy model is constructed, and discuss the existence of a quantum percolation threshold.

9 pages, 8 figures. A few minor changes, 1 figure added

References in corpus (7)

• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects
• Mott-Hubbard metal-insulator transition at non-integer filling
• Dynamical mean-field studies of metal-insulator transitions
• Unusual localisation effects in quantum percolation
• The three-dimensional Anderson model of localization with binary random potential
• Comparative numerical study of Anderson localization in disordered electron systems

Cited by in corpus (16)

• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
• Anderson localization vs. Mott-Hubbard metal-insulator transition in disordered, interacting lattice fermion systems
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder
• Anderson disorder in graphene nanoribbons: A local distribution approach
• Topological Anderson insulators induced by random binary disorders
• Self-energy-functional theory for systems of interacting electrons with disorder
• Dynamical Aspects of 2D Quantum Percolation
• Effects of disorder and contacts on transport through graphene nanoribbons
• Mott and Band Insulator Transitions in the Binary Alloy Hubbard Model
• Visualizing the multifractal wavefunctions of a disordered two-dimensional electron gas
• Hölder mean applied to Anderson localization
• Anderson localization on Falicov-Kimball model with next-nearest-neighbor hopping and long-range correlated disorder
• Local density of states and scattering rates across the many-body localization transition
• Quantum critical scaling of the conductivity tensor at the metal-insulator transition in Nb${}_{1-x}$Ti${}_x$N