Shubnikov-de Haas (SdH) oscillations have long been used to measure the unequal spin-subband densities of inversion asymmetric two-dimensional (2D) systems. Our experiments and self-consistent numerical calculations for 2D GaAs hole systems indicate that, in general, these oscillations are not simply related to the population of spin-split subbands at zero-magnetic-field. The SdH oscillations depend sensitively on the crystallographic growth directions of a semiconductor quantum well. Our quantum mechanical analysis reveals the inapplicability of conventional Bohr-Sommerfeld quantization for systems with spin-orbit interaction.
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering
- Spin-orbit coupling
- Two-dimensional systems