Dimensionally hybrid Green's functions and density of states for interfaces
arXiv:0707.1901 · doi:10.1016/j.physe.2007.07.025
Abstract
The energy dependent Green's function for an interface Hamiltonian which interpolates between two and three dimensions can be calculated explicitly. This yields an expression for the density of states on the interface which interpolates continuously between the two-dimensional behavior for high energies and the three-dimensional behavior for low energies.
13 pages, 2 figures, the Green's function in v2 can also propagate perturbations which are located on and off the interface, while the Green's function in v1 could only propagate perturbations which are located on the interface