Theory of local orbital magnetization: local Berry curvature
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909960032485376 |
|---|---|
| author | Saati, Sariah Al Hur, Karyn Le Piéchon, Frédéric |
| author_facet | Saati, Sariah Al Hur, Karyn Le Piéchon, Frédéric |
| contents | We present a microscopic theory for the local (single site) orbital magnetization in tight-binding systems. Each occupied state of energy $\varepsilon_n$ contributes with a local orbital magnetic moment term ${\mathbf{ m}}_n({\mathbf{ r}})$ and a local Berry-curvature term ${\mathbf{ Ω}}_n({\mathbf{ r}})$. For Bloch electrons (${\mathbf{ k}}$-space), we go beyond the modern theory by revealing the sublattice texture. We identify a topological contribution ${\mathbf{ Ω}}^{\text{topo}}_{n\mathbf{ k}}({\mathbf{ r}})$ and a geometric contribution ${\mathbfΩ}^{\text{geom}}_{n\mathbf{ k}}({\mathbf{ r}})$ to the sublattice Berry curvature. For systems with open boundaries (${\mathbf{ r}}$-space), we derive an explicit expression of an effective onsite Berry curvature ${\mathbf{ Ω}}_n({\mathbf{ r}})$. Considering two band models, the $\mathbf{ k}$-space and $\mathbf{ r}$-space onsite magnetizations coincide numerically but differ from the Bianco-Resta approach. They reveal orbital ferromagnetism in topological insulators, and orbital antiferro- and ferrimagnetism in trivial insulators. This theory can be used to investigate orbital magnetic textures and their topological properties in many systems of current interest (Moiré, amorphous, quasicrystals, defects, molecules). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theory of local orbital magnetization: local Berry curvature Saati, Sariah Al Hur, Karyn Le Piéchon, Frédéric Mesoscale and Nanoscale Physics We present a microscopic theory for the local (single site) orbital magnetization in tight-binding systems. Each occupied state of energy $\varepsilon_n$ contributes with a local orbital magnetic moment term ${\mathbf{ m}}_n({\mathbf{ r}})$ and a local Berry-curvature term ${\mathbf{ Ω}}_n({\mathbf{ r}})$. For Bloch electrons (${\mathbf{ k}}$-space), we go beyond the modern theory by revealing the sublattice texture. We identify a topological contribution ${\mathbf{ Ω}}^{\text{topo}}_{n\mathbf{ k}}({\mathbf{ r}})$ and a geometric contribution ${\mathbfΩ}^{\text{geom}}_{n\mathbf{ k}}({\mathbf{ r}})$ to the sublattice Berry curvature. For systems with open boundaries (${\mathbf{ r}}$-space), we derive an explicit expression of an effective onsite Berry curvature ${\mathbf{ Ω}}_n({\mathbf{ r}})$. Considering two band models, the $\mathbf{ k}$-space and $\mathbf{ r}$-space onsite magnetizations coincide numerically but differ from the Bianco-Resta approach. They reveal orbital ferromagnetism in topological insulators, and orbital antiferro- and ferrimagnetism in trivial insulators. This theory can be used to investigate orbital magnetic textures and their topological properties in many systems of current interest (Moiré, amorphous, quasicrystals, defects, molecules). |
| title | Theory of local orbital magnetization: local Berry curvature |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2512.12343 |