Quantization Phenomena of critical Hamiltonians in 2D systems
Abstract
This review work addresses the recent advances in solving more comprehensive Hamiltonians. The generalized tight-binding model is developed to investigate the feature-rich quantization phenomena in emergent 2D materials. The mutli-orbital bondings, the spin-orbital interactions, the various geometric structures, and the external fields are taken into consideration simultaneously. Specifically, the IV-group layered systems, black phosphorus and MoS exhibit the unique magnetic quantization. This is clearly indicated in three kinds of Landau levels (LLs), the orbital-, spin- and valley-dependent LL groups, the abnormal LL energy spectra, and the splitting, crossing and anticrossing behaviors. A detailed comparison with the effective-mass model is made. Some theoretical predictions have been confirmed by the experimental measurements.
Cite
@article{arxiv.1607.02712,
title = {Quantization Phenomena of critical Hamiltonians in 2D systems},
author = {S. C. Chen and J. Y. Wu and C. Y. Lin and M. F. Lin},
journal= {arXiv preprint arXiv:1607.02712},
year = {2016}
}
Comments
25 pages, 20 figures