Charge Transfer Transitions and Circular Magnetooptics in Ferrites
Abstract
:Highlights
- Critical overview of the “first-principles” DFT-based band models of the optical and magneto-optical responses.
- Cluster model and charge transfer transitions in ferrites: the theory of the circular MOE and comparisons with experiments.
- Elucidation of the Bi-substitution-induced effects in ferrites.
- Exchange-relativistic “spin-other-orbit” interaction VSoO as the main, if not the only source of circular MOE for weak ferromagnets.
- Nonlinear m-dependence of the circular MOE in ferrites as an explicit indication of the VSoO contribution.
Abstract
1. Introduction
2. Density Functional Theory or Cluster Model?
2.1. So-Called “Ab Initio” DFT Based Approaches
2.2. Cluster Model Approach
3. Cluster Model: The CT Configurations and CT Transitions in Ferrites
3.1. Electronic Structure of Octahedral Clusters in Ferrites
3.2. Intra-Center Electric-Dipole p–d CT Transitions
3.3. Inter-Center d–d CT Transitions
3.4. Interplay of the CT Transitions in Ferrites
4. Effective Hamiltonian for Fe Clusters in Ferrites
4.1. Low-Symmetry Crystal Field
4.2. Conventional Spin–Orbital Interaction
4.3. Zeeman Interaction
4.4. Exchange Interaction
4.5. Exchange-Relativistic Interactions
5. Anisotropic Polarizability of the Octahedral -Cluster
5.1. Simple Microscopic Theory
5.2. Symmetry Considerations
5.2.1. Linear Birefringeance in Orthoferrites
5.2.2. Circular Birefringeance/Dichroism in Ferrites
6. Charge Transfer Transitions and Magneto-Optical Effects (MOE) in Ferrites
6.1. Working Microscopic Models for Circular MOE
6.2. Fe3+ Diluted Nonmagnetic Compounds
6.3. The Yttrium Iron Garnet
6.4. Bi-Substituted Iron Garnets
6.5. Exchange-Relativistic Interaction and Unconventional Magneto-Optics of Weak Ferromagnetic Orthoferrites
6.6. The Temperature Dependence of the Circular Magneto-Optics of Ferrites
6.7. The High-Energy Optics and Magneto-Optics of Ferrites
6.8. Rare-Earth Ions in Ferrites
7. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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No. | Transition | E (eV) | E (eV) | f (×) | (eV) |
---|---|---|---|---|---|
1 | 3.1 | 2.8 | 4 | 0.2 | |
2 | 3.9 | 3.6 | 30 | 0.3 | |
3 | 4.4 | 4.3 | 60 | 0.3 | |
4 | 5.1 | 4.8 | 40 | 0.3 | |
5 | 5.3 | 5.2 | 200 | 0.3 | |
6 | 6.4 | 6.1 | 200 | 0.3 | |
7 | 3.4 | 3.4 | 30 | 0.4 | |
8 | 4.3 | 4.6 | 20 | 0.3 | |
9 | 4.5 | 4.7 | 40 | 0.3 | |
10 | 5.0 | 4.9 | 30 | 0.3 | |
11 | 5.4 | 5.1 | 20 | 0.3 | |
12 | 5.6 | 5.6 | 10 | 0.3 | |
13 | 6.0 | 6.0 | 20 | 0.3 |
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Moskvin, A. Charge Transfer Transitions and Circular Magnetooptics in Ferrites. Magnetochemistry 2022, 8, 81. https://doi.org/10.3390/magnetochemistry8080081
Moskvin A. Charge Transfer Transitions and Circular Magnetooptics in Ferrites. Magnetochemistry. 2022; 8(8):81. https://doi.org/10.3390/magnetochemistry8080081
Chicago/Turabian StyleMoskvin, Alexander. 2022. "Charge Transfer Transitions and Circular Magnetooptics in Ferrites" Magnetochemistry 8, no. 8: 81. https://doi.org/10.3390/magnetochemistry8080081