Theory of Rashba splitting in quantum-well states
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914860006113280 |
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| author | Kawamura, Mitsuaki Ozaki, Taisuke |
| author_facet | Kawamura, Mitsuaki Ozaki, Taisuke |
| contents | We present a theory pertaining to the asymptotic behavior of Rashba energy splitting in a quantum-well state (QWS). First, unlike previous studies, we derive $\textbf{k}$-linear Rashba term from a first-principles Hamiltonian in a physically convincing manner. The $\textbf{k}$-dependent in-plane intrinsic magnetic-field term originates from the spin--orbit interaction and hybridized $s$-$p_z$ orbital, whereas a steep nucleus potential realizes the linearity for the $\textbf{k}$ of the effective magnetic field. Next, we analyze the Rashba effect of a QWS using a one-dimensional tight-binding model developed based on the bottom-up approach that is aforementioned. The Rashba-splitting behavior of this system is captured from the density at the interface. The density can be expressed analytically as a function of the monolayer number and well depth. Finally, we apply our formula to the QWS of a few-monolayers Ag on an Au(111) surface to validate the theory based on a realistic system. Our tight-binding analysis qualitatively fits the first-principles result using only two fitting parameters and predicts the optimal condition for achieving a large Rashba splitting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Theory of Rashba splitting in quantum-well states Kawamura, Mitsuaki Ozaki, Taisuke Mesoscale and Nanoscale Physics Materials Science We present a theory pertaining to the asymptotic behavior of Rashba energy splitting in a quantum-well state (QWS). First, unlike previous studies, we derive $\textbf{k}$-linear Rashba term from a first-principles Hamiltonian in a physically convincing manner. The $\textbf{k}$-dependent in-plane intrinsic magnetic-field term originates from the spin--orbit interaction and hybridized $s$-$p_z$ orbital, whereas a steep nucleus potential realizes the linearity for the $\textbf{k}$ of the effective magnetic field. Next, we analyze the Rashba effect of a QWS using a one-dimensional tight-binding model developed based on the bottom-up approach that is aforementioned. The Rashba-splitting behavior of this system is captured from the density at the interface. The density can be expressed analytically as a function of the monolayer number and well depth. Finally, we apply our formula to the QWS of a few-monolayers Ag on an Au(111) surface to validate the theory based on a realistic system. Our tight-binding analysis qualitatively fits the first-principles result using only two fitting parameters and predicts the optimal condition for achieving a large Rashba splitting. |
| title | Theory of Rashba splitting in quantum-well states |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2407.05091 |