Spin-dependent Hedin's equations

TL;DR

This paper extends Hedin's equations to include spin interactions, enabling better modeling of systems like nanoscale magnets and surfaces with spin-dependent phenomena.

Contribution

It derives a generalized set of Hedin's equations incorporating spin interactions and constructs a spin-dependent GW approximation.

Findings

Derived spin-dependent Hedin's equations

Constructed a spin-dependent GW approximation

Facilitates modeling of spin-related phenomena in quantum systems

Abstract

Hedin's equations for the electron self-energy and the vertex were originally derived for a many-electron system with Coulomb interaction. In recent years it has been increasingly recognized that spin interactions can play a major role in determining physical properties of systems such as nanoscale magnets or of interfaces and surfaces. We derive a generalized set of Hedin's equations for quantum many-body systems containing spin interactions, e.g. spin-orbit and spin-spin interactions. The corresponding spin-dependent GW approximation is constructed.