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A comprehensive first principles study on the electronic topologicaltransition in a number of 122 family of Fe based superconductors is presented.Doping as well as temperature driven Lifshitz transitions are found from firstprinciples simulations in a variety of Fe based superconductors that areconsistent with experimental findings. In all the studied compounds theLifshitz transitions are consistently found to occur at a doping concentrationwhere superconductivity is highest and magnetism disappears. Systematically,the Lifshitz transition occurs in the electron Fermi surfaces for hole doping,whereas in hole Fermi surfaces for electron doping as well as iso-electronicdoping. Temperature driven Lifshitz transition is found to occur in theiso-electronic Ru-doped BaFe$_2$As$_2$ compounds. Fermi surface areas are foundto carry sensitivity of topological modifications more acutely than the bandstructures and can be used as a better experimental probe to identifyelectronic topological transition.

Superconductivity on the verge of electronic topological transition in Fe based superconductors