Band inversion transition in HgTe nanowire grown along the [001] direction

• URL: http://arxiv.org/abs/2512.00334v1
• Date: Sat, 29 Nov 2025 05:52:24 GMT
• Title: Band inversion transition in HgTe nanowire grown along the [001] direction
• Abstract summary: The low-energy effective Hamiltonian of a cylindrical HgTe nanowire grown along the [001] crystallographic direction is constructed by using the perturbation theory.<n>The bulk inversion asymmetry does not contribute to the low-energy effective Hamiltonian, i.e., there is no spin splitting in the $E_1$, $H_1$, and $H_2$ subbands for a [001] oriented cylindrical nanowire.
• Score: 2.5804275008691815
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The low-energy effective Hamiltonian of a cylindrical HgTe nanowire grown along the [001] crystallographic direction is constructed by using the perturbation theory. Both the anisotropic term and the bulk inversion asymmetry term of the Kane model are taken into account. Although the anisotropic term has converted the crossing between the $E_{1}$ and $H_{1}$ subbands into an anticrossing at $k_{z}R\!=\!0$, the gap-closing-and-reopening transition in the subband structure can still occur at the wave vectors $k_{z}R\!\approx\!\pm0.24$ for critical nanowire radius $R\!\approx\!3.45$ nm. The bulk inversion asymmetry does not contribute to the low-energy effective Hamiltonian, i.e., there is no spin splitting in the $E_{1}$, $H_{1}$, and $H_{2}$ subbands for a [001] oriented cylindrical nanowire.

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