Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912382767333376 |
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| author | Li, Rui |
| author_facet | Li, Rui |
| contents | Quasi-one-dimensional hole gas is achievable in a semiconductor Ge nanowire. The lowest two subband dispersions of the hole gas are just two shifted parabolic curves with an anticrossing at $k_{z}=0$. This peculiar low-energy subband structure manifests the existence of a strong `spin' (pseudo spin)-orbit coupling. Based on the Luttinger-Kohn Hamiltonian in the axial approximation, we show two sets of combined dispersions that not only isolated from each other but also with strong `spin'-orbit coupling are obtainable in the presence of strong magnetic field. Realistic calculations are performed for three representative nanowire growth directions [001], [111], and [110]. These results are further confirmed via constructing the low-energy effective Hamiltonian of the hole gas. We also calculate the external electric field induced spin splitting for comparison with the magnetic field induced spin splitting. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_16703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire Li, Rui Mesoscale and Nanoscale Physics Quasi-one-dimensional hole gas is achievable in a semiconductor Ge nanowire. The lowest two subband dispersions of the hole gas are just two shifted parabolic curves with an anticrossing at $k_{z}=0$. This peculiar low-energy subband structure manifests the existence of a strong `spin' (pseudo spin)-orbit coupling. Based on the Luttinger-Kohn Hamiltonian in the axial approximation, we show two sets of combined dispersions that not only isolated from each other but also with strong `spin'-orbit coupling are obtainable in the presence of strong magnetic field. Realistic calculations are performed for three representative nanowire growth directions [001], [111], and [110]. These results are further confirmed via constructing the low-energy effective Hamiltonian of the hole gas. We also calculate the external electric field induced spin splitting for comparison with the magnetic field induced spin splitting. |
| title | Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.16703 |