Weak antilocalization and interaction-induced localization of Dirac and Weyl Fermions in topological insulators and semimetals
Lu Hai-Zhou1, Shen Shun-Qing2
       

(a) The diagrams for the semiclassical conductivity σsc. v and are the bare velocity and the velocity after the vertex correction, respectively. (b) The Hikami boxes of the maximally-crossed diagrams, from which the conductivity correction from the quantum interference σqi is calculated.[18] (c) The iteration equations for the Diffuson (Λ), Cooperon (Γ), and dynamically screened interaction. (d) The Fock and Hartree self-energies dressed by Diffuson and Cooperon, from which the conductivity correction from the electron–electron interaction σee is calculated. k and q stand for the wave vectors, and εn and ωm for the Matsubara frequencies. Adapted from Ref. [19].