A convolution technique for the calculation of local densities of states

Abstract

A convolution technique is proposed for the calculation of local densities of states (LDOS) within the tight-binding (TB) model. It relies on the separability of the variables in the Hamiltonian. This technique allows one to carry out calculations for the two- and three-dimensional lattices if the one-dimensional LDOS is known. The approach avoids K-space integration as well as the processing of large clusters. The results are checked against known results produced by the straight TB model, and some new cases, such as that of the LDOS for a two-dimensional lattice in the presence of an external electric field, are also considered.