Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911135408586752 |
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| author | Li, Rui |
| author_facet | Li, Rui |
| contents | The band inversion transition in a cylindrical HgTe nanowire is inducible via varying the nanowire radius. Here we derive the low-energy effective Hamiltonian describing the band structure of the HgTe nanowire close to the fundamental band gap. Because both the $E_{1}$ and $H_{1}$ subbands have quadratic dependence on $k_{z}$ when the gap closes, we need to consider at least three subbands, i.e., the $E_{1}$, $H_{1}$, and $H_{2}$ subbands, in building the effective Hamiltonian. The resulting effective Hamiltonian is block diagonal and each block is a $3\times3$ matrix. End states are found in the inverted regime when we solve the effective Hamiltonian with open boundary condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire Li, Rui Mesoscale and Nanoscale Physics The band inversion transition in a cylindrical HgTe nanowire is inducible via varying the nanowire radius. Here we derive the low-energy effective Hamiltonian describing the band structure of the HgTe nanowire close to the fundamental band gap. Because both the $E_{1}$ and $H_{1}$ subbands have quadratic dependence on $k_{z}$ when the gap closes, we need to consider at least three subbands, i.e., the $E_{1}$, $H_{1}$, and $H_{2}$ subbands, in building the effective Hamiltonian. The resulting effective Hamiltonian is block diagonal and each block is a $3\times3$ matrix. End states are found in the inverted regime when we solve the effective Hamiltonian with open boundary condition. |
| title | Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.07478 |