The studies in this thesis are focused on the physical effects in the flat band materials. The results contain the discovery of strong enhancement of RKKY spin-spin interactions with specific... Show moreThe studies in this thesis are focused on the physical effects in the flat band materials. The results contain the discovery of strong enhancement of RKKY spin-spin interactions with specific geometric arrangement and dynamical generation of excitonic order parameter with high magnitude. A number of physical properties influenced by flat band are studied: optical conductivity, orbital susceptibility and spectral functions in the case of flat-band lattices stacked into bilayer. Additional chapters contain the studies of the methods to distinguish Majorana zero modes from Andreev levels and Majorana fermions in superconductors. Show less
