PROJECTS
One- to four-component correlated relativistic electronic structure methods based on density matrix renormalization group techniques
PRINCIPAL INVESTIGATOR
![]() |
PD Dr.
Markus Reiher Universität Erlangen Theoretische Chemie Egerlandstraße 3 |
PROJECT RESEARCH ASSISTANT
ABSTRACT
Relativistic ab initio methods for molecular systems,
which take the correlation of electrons into account (such as the
standard configuration interaction or coupled cluster models),
have become available during the last decade. It has soon been
realized that these highly accurate relativistic methods are
extremely computer resource demanding and are presently only
applicable for molecules consisting of not more than two heavy
atoms. From a different field, namely theoretical solid state
physics, a new correlation technique, which is called the Density
Matrix Renormalization Group (DMRG) algorithm, was established.
It is based on an iterative renormalization of the Hilbert space
describing the system under consideration. Only in recent years
this technique has been applied to light 'non-relativistic'
diatomics. It is planned to extend and improve on these results
in order to tackle a large number of active electrons and
orbitals as they occur in 'relativistic' molecules. The first
step shall be undertaken in a one-component framework as defined
by the Douglas-Kroll (DK) approach. In the second step the
standard DK frame is extended to include spin-orbit coupling (to
higher orders) in combination with DMRG: it is planned to set up
an efficient two-component method, which can challenge four-component
theories. But also four-component methods shall be tested in (a
third step) in combination with the DMRG algorithm.