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Quantum Chemistry Quantum Simulation

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

arXiv
Authors: Rui Li

Year

2025

Paper ID

16468

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

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 E1 and H1 subbands into an anticrossing at kzR=0, the gap-closing-and-reopening transition in the subband structure can still occur at the wave vectors kzRapproxpm0.24 for critical nanowire radius Rapprox3.45 nm. The bulk inversion asymmetry does not contribute to the low-energy effective Hamiltonian, i.e., there is no spin splitting in the E1, H1, and H2 subbands for a [001] oriented cylindrical nanowire.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The low-energy effective Hamiltonian of a cylindrical HgTe nanowire grown along the [001] crystallographic direction is constructed by using the perturbation theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.00334 [2] arXiv https://arxiv.org/abs/2512.00334 [3] Publisher https://arxiv.org/abs/2512.00334

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