Hole subband dispersions and strong `spin'-orbit coupling in a cylindrical Ge nanowire

2024/11/13 by Zhilin Li, Li, Rui · 2 citations
Physics and Astronomy · Engineering · #Quantum and electron transport phenomena #Topological Materials and Phenomena #Nanowire Synthesis and Applications

paper · pdf · doi:10.48550/arxiv.2411.16703

Abstract

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.

Cited by

• Band inversion transition in HgTe nanowire grown along the [001] direction
• Spin ladder quantum simulators from spin-orbit-coupled quantum dot spin qubits

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