Towards a realistic description of the interplay of bosonic and fermionic degrees of freedom in the physical properties of Fe pnictide in the normal and superconducting state: multiband approaches with the account of disorder effects

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Fe-pnictides are of large interest due to high critical temperature of superconductive transition. We study the related rich electronic phase diagrams from a theoretical point of view, using models with realistic parameters from electron spectroscopy, neutron experiments and DFT calculations and address the role of el-el interaction, Fermi-surface nesting, el-ph coupling, and disorder. We calculate thermodynamic and transport properties of pnictides in the normal and superconducting states.