Related papers: Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas

Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas

URL: http://arxiv.org/abs/2210.17002v1
Date: Mon, 31 Oct 2022 01:30:16 GMT
Title: Two-band description of the strong `spin'-orbit coupled one-dimensional hole gas
Authors: Rui Li and Xin-Yu Qi
Abstract summary: We show that strong spin'-orbit coupled one-dimensional hole gas can be accurately described by an effective two-band Hamiltonian $Hrm ef=hbar2k2_z/ (2m*_h)+alphasigmazk_z+g*_hmu_BBsigmax/2$, as long as the magnetic field is purely longitudinal or purely transverse.
Score: 2.696926374562295
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Strong `spin'-orbit coupled one-dimensional hole gas is achievable in an unstrained Ge nanowire in the presence of a strong magnetic field. 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 $H^{\rm ef}=\hbar^{2}k^{2}_{z}/(2m^{*}_{h})+\alpha\sigma^{z}k_{z}+g^{*}_{h}\mu_{B}B\sigma^{x}/2$, as long as the magnetic field is purely longitudinal or purely transverse. The explicit magnetic field dependent expressions of the `spin'-orbit coupling $\alpha\equiv\alpha(B)$ and the effective $g$-factor $g^{*}_{h}\equiv\,g^{*}_{h}(B)$ 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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