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Updated: Jul 4, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Generalized Hedin's equations for quantum many-body systems with spin-dependent interactions.

F Aryasetiawan¹, S Biermann

¹Research Institute for Computational Sciences, AIST, 1-1-1 Umezono, Tsukuba Central 2, Ibaraki 305-8568, Japan.

Physical Review Letters

|June 4, 2008

Summary

This study generalizes Hedin's equations to include spin interactions, crucial for understanding materials like nanoscale magnets. A spin-dependent GW approximation is developed for quantum many-body systems.

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Area of Science:

Condensed matter physics
Quantum many-body theory
Materials science

Background:

Hedin's equations traditionally model Coulomb interactions in many-electron systems.
Spin interactions (spin-orbit, spin-spin) are increasingly vital for nanoscale magnets and surfaces.
Existing models often neglect the significant impact of spin dynamics.

Purpose of the Study:

To generalize Hedin's equations for quantum many-body systems incorporating spin interactions.
To develop a theoretical framework that accounts for spin-dependent phenomena.
To enable more accurate predictions of material properties influenced by spin.

Main Methods:

Derivation of generalized Hedin's equations including spin-orbit and spin-spin interactions.
Construction of a spin-dependent GW approximation.
Theoretical formulation for quantum many-body systems with spin.

Main Results:

A comprehensive set of generalized Hedin's equations accounting for spin interactions.
Establishment of the spin-dependent GW approximation.
A new theoretical tool for studying spin-driven phenomena in materials.

Conclusions:

The generalized Hedin's equations provide a robust framework for spin-interaction-dominated systems.
The spin-dependent GW approximation offers enhanced accuracy for predicting material properties.
This work advances the understanding of quantum many-body systems with significant spin effects.