On quantum transport in flat-band materials

Abstract

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 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.