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Open Quantum Systems Decoherence

Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire

arXiv
Authors: Rui Li, Xin-Yu Qi

Year

2022

Paper ID

57852

Status

Preprint

Abstract Read

~2 min

Abstract Words

130

Citations

N/A

Abstract

The low-energy effective Hamiltonian of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire in the presence of a strong magnetic field is studied both numerically and analytically. Basing on the Luttinger-Kohn Hamiltonian in the spherical approximation, we show this strong `spin'-orbit coupled one-dimensional hole gas can be accurately described by an effective two-band Hamiltonian Hrm ef=hbar2k2z/\(2m*h\)+ασxkz+g*hμBBσz/2, as long as the magnetic field is purely longitudinal or purely transverse. The explicit magnetic field dependent expressions of the `spin'-orbit coupling αequivα(B) and the effective g-factor g*hequiv g*h(B) are given. When the magnetic field is applied in an arbitrary direction, the two-band Hamiltonian description is still a good approximation.

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  • The low-energy effective Hamiltonian of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire in the presence of a strong magnetic field is...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.17002 [2] arXiv https://arxiv.org/abs/2210.17002 [3] Publisher https://arxiv.org/abs/2210.17002

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