An important branch of contemporary condensed matter physics focuses on understanding the unconventional charge- and spin-transport properties in exotic materials including those with low-dimensionality, with a high spin-orbit coupling or superconducting characteristics. The important open questions include the understanding of spin-dynamical properties of charge carriers in metals and superconductors, the description of unusual high-frequency charge dynamics in type-II superconductors, and the modeling of dynamics of light induced excitations in nanomaterials. The applicant is required to perform a combined theoretical and experimental approach to these problems. The experimental tools include magnetic resonance spectroscopy and ac impedance measurements. The work is supported by the Hungarian Quantum-Technology Initiative and by the Momentum Grant of the Hungarian Academy of Sciences.