Odd Frequency Pairing in Supercodcuting Systems Using Renormalization Group Approach

We investigate odd frequency paring of electron-electron interaction on superconducting systems using the renormalization group method. Several experimental results induced by proximity effect have shown the feasibility of odd frequency pairing. Efforts have been made in the theoretical arena, since its first conception by Berezinskii, to understand this phenomenon, but many questions still remain unanswered. In our work, by considering a two-dimensional rotationally invariant Fermi surface and spinless system within the framework of renormalization group, we present a brief elucidation on the microscopic mechanism for odd frequency pairing, and show a self-contained derivation of the exact flow equation for the vertex functions and self energy that depend on the gradual evolution of the microscopic model action to the final effective action as a function of a continuously decreasing energy scale.