Searching strong `spin'orbit coupled onedimensional hole gas in strong magnetic fields
Abstract
We show that a strong `spin'orbit coupled onedimensional (1D) hole gas is achievable via applying a strong magnetic field to the originally twofold degenerate hole gas confined in a cylindrical Ge nanowire. Both strong longitudinal and strong transverse magnetic fields are feasible to achieve this goal. The induced lowenergy subband dispersion of the hole gas can be written as $E=\hbar^{2}k^{2}_{z}/(2m^{*}_{h})+\alpha\sigma^{z}k_{z}+g^{*}_{h}\mu_{B}B\sigma^{x}/2$, a form that is exact the same as that of the electron gas in the conduction band. Also, the induced hole effective $m^{*}_{h}$ ($0.07\sim0.08~m_{e}$) and the `spin'orbit coupling $\alpha$ ($0.4\sim0.65$ eV~Å) have a small magnetic field dependence, while the effective $g$factor $g^{*}_{h}$ of the hole `spin' only has a small magnetic field dependence in the large fields region.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.00899
 Bibcode:
 2021arXiv210700899L
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Quantum Physics
 EPrint:
 12 pages, 5 figures