Density of states based on dimensional dilution symmetry for disordered hypercubic lattices

Dilution symmetry of tight-binding hamiltonians in finite hypercubic lattices leads directly for pure systems to the convolution integral formula for the density of states in a given dimension. Consequences of this symmetry for the diagonally disordered models are explored and approximate methods are proposed. Then, they are numerically compared with the Dean's method. (Author)