Numerical methods for accelerating the analysis of carrier transport in quantum devices for high frequency and photonic applications on the basis of the von-Neumann equation

• Applicant: Professor Dr.-Ing. Dirk Schulz
• Subject Area: Electronic Semiconductors, Components and Circuits, Integrated Systems, Sensor Technology, Theoretical Electrical Engineering ; Hardware Systems and Architectures for Information Technology and Artificial Intelligence, Quantum Engineering Systems
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 387905924

The main goal of ultrafast spintronics is to develop new ultrafast storage systems and information technologies. The modeling of the dynamic behavior is essential for the development of novel components. Based on the results of the project achieved so far, it can be seen that numerical algorithms based on the von-Neumann equation in center mass coordinates are predestined for the description of the dynamic transport behavior. Therefore, numerical algorithms for the dynamic analysis of the charge carrier transport taking into account the magnetic moment for applications in spintronics are to be developed on the basis of the von-Neumann equation in center mass coordinates.For the formulation of the Hamilton operator, the empirical tight binding method should be used, with which the Hamilton operator on the one hand in the form of differential operators and on the other hand in the form of matrices that are dependent on the transition elements between individual atoms of the crystal lattice can be represented. The Hamilton operator will represent a multiband operator which will contain pseudospins in the analytical case and the spin alignment of the orbitals relevant for the transport in the matrix-valued case. On this basis, strategies for the modeling of relevant low-dimensional structures of spintronics should be developed taking into account suitable subspace methods such as the mode-space approximation (MSA). Particularly components, which are to be controlled using the Rashba effect, should be considered. With the methods developed, the analysis of the charge carrier transport in topological materials could also be investigated in the future, or interaction mechanisms for the excitation of spin waves by ultrashort laser pulses could also be included.

• DFG Programme: Research Grants