The method of increments - a wavefunction-based ab inition correlation method for solids

Beate Paulus

Max-Planck-Institut für Physik komplexer Systeme

An overview of wavefunction-based correlation methods generalised for the application to solids is presented. Those methods based on a preceding HF treatment explicitly calculate the many-body wavefunction in contrast to the density-functional theory which relies on the ground-state density of the system. The talk focuses on the so-called method of increments where the correlation energy of the solid is expanded in terms of localised orbitals or of a group of localised orbitals. The method of increments is applied to a great variety of materials, from covalent semiconductors to ionic insulators, from large band-gap materials like diamond to the half-metal $\alpha$-tin, from large molecules like fullerenes over polymers, graphite to three-dimensional solids. Rare-gas crystals where the binding is van der Waals like are treated as well as solid mercury, where the metallic binding is entirely due to correlation. Strongly correlated systems are examined and the correlation driven metal-insulator transition is described at an ab-initio level.