Interaction effects on centrosymmetric Bogoliubov Fermi surfaces

Exotic quantum phases including topological insulators/semi-metals and non-Fermi liquids may be realized by quantum states with total angular momentum j=3/2 as manifested in HgTe and pyrochlore iridates. Recently, an exotic superconducting state with a finite density of zero energy Bogoliubov quasiparticles, Bogoliubov Fermi-surface, was also proposed in a centrosymmetric j=3/2 system with a Z2 topological invariant. We consider interaction effects of the Bogoliubov Fermi surfaces by using standard renormalization group and mean-field theory and discuss the implication of inversion symmetry breaking. Possible applications of our theory to iron based superconductors and heavy fermion systems including FeSe are also discussed