Related Experiment Video
Updated: May 31, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
Band calculations for 4f systems based on the dynamical mean field theory
Osamu Sakai1, Yukihiro Shimizu
1Department of Physics, Tokyo Metropolitan University, Hachioji 192-0397, Japan.
Dynamical mean field theory (DMFT) calculations for Ce compounds incorporate key electronic interactions. This advanced method improves band theory accuracy for cerium materials, including Ce metal and Ce-monopnictides.
Area of Science:
- Condensed Matter Physics
- Computational Materials Science
- Quantum Chemistry
Background:
- Cerium (Ce) compounds exhibit complex electronic behaviors crucial for materials science.
- Accurate theoretical modeling of Ce compounds requires advanced computational techniques.
- Dynamical Mean Field Theory (DMFT) is a powerful framework for studying strongly correlated electron systems.
Purpose of the Study:
- To report recent band calculations for Ce compounds using DMFT.
- To present an improved method for solving the auxiliary impurity problem within DMFT.
- To apply these calculations to understand the electronic structure of Ce metal and Ce-monopnictides.
Main Methods:
- Band calculations based on Dynamical Mean Field Theory (DMFT).
- Solving the auxiliary impurity problem using the NCAf(2)vc method.
- Incorporating the [Formula: see text] virtual excitation, crystalline field splitting (CFS), and spin-orbit interaction (SOI) into the self-energy.
Main Results:
- The NCAf(2)vc method successfully accounts for essential electronic interactions in Ce compounds.
- Quantitative band theory for Ce compounds is achieved through the inclusion of CFS and SOI.
- Applications to Ce metal and Ce-monopnictides demonstrate the method's efficacy.
Conclusions:
- The developed DMFT approach provides accurate band structures for Ce compounds.
- The inclusion of specific electronic processes is vital for quantitative predictions.
- This work advances the theoretical understanding and predictive capability for cerium-based materials.
Related Concept Videos
Atomic Orbitals
Fermi Level Dynamics
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
The Energies of Atomic Orbitals
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

