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Updated: Nov 1, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Low-energy subband wave-functions and effectiveg-factor of one-dimensional hole gas
1Key Laboratory for Microstructural Material Physics of Hebei Province, School of Science, Yanshan University, Qinhuangdao 066004, People's Republic of China.
Abstract:
One-dimensional (1D) hole gas confined in a cylindrical Ge nanowire has potential applications in quantum information technologies. Here, we analytically study the low-energy properties of this 1D hole gas. The subbands of the hole gas are two-fold degenerate. The low-energy subband wave-functions are obtained exactly, and the degenerate pairs are related to each other via a combination of the time-reversal and the spin-rotation transformations. In evaluating the effectiveg-factor of these low-energy subbands, the orbital effects of the magnetic field are shown to contribute as strongly as the Zeeman term. Also, near the center of thekspace, there is a sharp dip or a sharp peak in the effectiveg-factor. At the sitek= 0, the longitudinalg-factorglis much less than the transverseg-factorgtfor the lowest subband, while away from the sitek= 0,glcan be comparable togt.
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