Feasibility study on the application of the method of the resolvent matrix to complex systems
- 15 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 48 (20) , 14826-14832
- https://doi.org/10.1103/physrevb.48.14826
Abstract
A local approach to the study of complex systems with low symmetry is examined. The approach leads to the direct calculation of the local density of states (DOS) via the local Green’s function. The feasibility and reliability of the method are established by subjecting the method to a severe test, using it to calculate the bulk DOS of the crystalline GaP in a layer-by-layer approach. In this case, the calculation of the Green’s function only involves a series of inversions of matrices whose dimensions are given by the number of orbitals per layer unit cell.Keywords
This publication has 9 references indexed in Scilit:
- Real space Green’s function approach to vibrational dynamics of a Vicsek fractalPhysical Review Letters, 1992
- An accelerated inversion algorithm using the resolvent matrix methodComputer Physics Communications, 1992
- Effective two-dimensional Hamiltonian at surfacesPhysical Review B, 1983
- A Semi-empirical tight-binding theory of the electronic structure of semiconductors†Journal of Physics and Chemistry of Solids, 1983
- Simple scheme for surface-band calculations. II. The Green's functionPhysical Review B, 1981
- Exact solution for the resolvent matrix of a generalized tridiagonal HamiltonianPhysical Review B, 1979
- Electronic Structure of Stacking Faults in Transition Metals: NickelPhysical Review Letters, 1976
- Electronic surface structure of a tetrahedrally coordinated covalent solid with a simple four-state HamiltonianJournal of Physics C: Solid State Physics, 1975
- Special points in the two-dimensional Brillouin zonePhysical Review B, 1974