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Generalized Hedin equations and σGσW approximation for quantum many-body systems with spin-dependent interactions
Ferdi Aryasetiawan1, Silke Biermann
1Graduate School of Advanced Integration Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba-shi, Chiba 263-8522, Japan. Research Institute for Computational Sciences, AIST, 1-1-1 Umezono, Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan. Japan Science and Technology Agency, CREST, Japan.
Researchers generalized Hedin equations to include spin-dependent interactions in quantum many-body systems. This new framework enables studying the interplay between electron correlations and spin effects in various materials.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Theory
Background:
- The original Hedin equations describe electron self-energy and vertex corrections in systems with Coulomb interactions.
- These equations are fundamental for understanding electron correlations in materials.
Purpose of the Study:
- To generalize Hedin equations for quantum many-body systems incorporating spin-dependent interactions.
- To develop a spin-dependent GW approximation for these systems.
Main Methods:
- Extension of the original Hedin equations framework.
- Formulation of a spin-dependent GW approximation.
Main Results:
- A generalized set of Hedin equations applicable to spin-dependent interactions.
- Construction of the spin-dependent GW approximation.
Conclusions:
- The generalized Hedin equations and GW approximation provide a new theoretical tool.
- This work facilitates the study of spin-interaction-correlation interplay in quantum dots, wires, and surfaces.
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