Theory of condensed matter and statistical physics
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We will investigate microscopic physical mechanisms which are responsible for the giant electrostriction and piezoelectric effects in organic and inorganic relaxor ferroelectrics. A model of perovskite ferrolectrics such as barium titanate will be developed, based on the off-center positions of the Ti ions and their coupling to lattice vibrations. By means of computer modeling of transport on complex networks and their topology we will make a comparative study of information traffic on technological networks and genetic regulatory networks. We will determine the parameters of transport and drivUnding conditions adjusted to optimal use of the underlying network structure. We will furthermore simulate anomalous diffusion of individual grains in cellular automata models of granular flow and spin diffusion in disordered ferroelectrics under global driving conditions.
Within the research field of strongly correlated electrons, as related to theoretical modeling and understanding of material properties of new high temperature superconducting materials the efforts will be dedicated to
a) the development of new numerical methods as relevant to model Hamiltonians on finite lattices,
b) to the theoretical understanding of the mechanism of superconductivity in cuprate superconductors,
c) to the investigation of transport properties of low-dimensional quantum systems in conjunction with the integrability of related model Hamiltonians, and
d) to the study of the dynamical stability of quantum system as relevant to quantum computing.
Using new numerical techniques we furthermore plan to study the problem of conductance of an interacting mesoscopic sample. This approach will be based on variational wave function calculation and the quantum Monte Carlo method applied to one-dimensional systems with broken time reversal symmetry. Finally, the electronic and structural properties of ultrathin metallic layers and nanoparticles will be studied by combining ab-initio and semi-empirical methods.
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