Interatomic spin-orbit interaction in a $p$-orbital helical atomic chain
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915647000150016 |
|---|---|
| author | Kato, Takemitsu Utsumi, Yasuhiro Entin-Wohlman, Ora Aharony, Amnon |
| author_facet | Kato, Takemitsu Utsumi, Yasuhiro Entin-Wohlman, Ora Aharony, Amnon |
| contents | We derive the interatomic spin-orbit interaction (SOI) from a helical atomic chain composed of $p$-orbitals with intra-atomic SOI, which exhibits a helical state--a potential origin of the chiral-induced spin selectivity (CISS) effect. In this model, a strong crystal field in the tangential direction of the helix leads to the formation of energetically separated $σ$- and $π$-bands. In the second-order process, a spin in the $σ$-orbital virtually hops to the $π$-orbital, flips its direction due to intra-atomic SOI, and then hops back to the $σ$-orbital in the neighboring atom due to the misalignment of $p$-orbitals along the helix. This process induces an interatomic SOI in the $σ$-band, which takes the form of a Rashba-type SOI generated by an electric field normal to the helical axis. The magnitude of the SOI is proportional to the curvature, the hopping energy, the intra-atomic SOI energy, and inversely proportional to the crystal field strength. The second-order process also induces long-range second-nearest-neighbor hoppings. We analytically derive the spin-split band structure in the zero-torsion limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01504 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interatomic spin-orbit interaction in a $p$-orbital helical atomic chain Kato, Takemitsu Utsumi, Yasuhiro Entin-Wohlman, Ora Aharony, Amnon Mesoscale and Nanoscale Physics We derive the interatomic spin-orbit interaction (SOI) from a helical atomic chain composed of $p$-orbitals with intra-atomic SOI, which exhibits a helical state--a potential origin of the chiral-induced spin selectivity (CISS) effect. In this model, a strong crystal field in the tangential direction of the helix leads to the formation of energetically separated $σ$- and $π$-bands. In the second-order process, a spin in the $σ$-orbital virtually hops to the $π$-orbital, flips its direction due to intra-atomic SOI, and then hops back to the $σ$-orbital in the neighboring atom due to the misalignment of $p$-orbitals along the helix. This process induces an interatomic SOI in the $σ$-band, which takes the form of a Rashba-type SOI generated by an electric field normal to the helical axis. The magnitude of the SOI is proportional to the curvature, the hopping energy, the intra-atomic SOI energy, and inversely proportional to the crystal field strength. The second-order process also induces long-range second-nearest-neighbor hoppings. We analytically derive the spin-split band structure in the zero-torsion limit. |
| title | Interatomic spin-orbit interaction in a $p$-orbital helical atomic chain |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2512.01504 |