Generalized Hedin equations andσGσW approximation for quantum many-body systems with spin-dependent interactions

Abstract

The Hedin equations for the electron self-energy and the vertex were originally derived fora many-electron system with Coulomb interaction (Hedin 1965 Phys. Rev. 139 A796). Here,we present a generalized set of Hedin equations for quantum many-body systems containingspin-dependent interactions, e.g. spin–orbit and spin–spin interactions. The correspondingspin-dependent GW approximation is constructed. This work should open theway to describing the interplay of correlations and spin-dependent interactionsin systems such as quantum dots or wires, as well as in interface and surfaceproblems.