Anomalous Hall Effect in Spin-Polarized Two-Dimensional Hole Gas with Cubic-Rashbsa Spin-Orbit Interaction

• Published in: Communications in theoretical physics Vol. 54; no. 9; pp. 559 - 562
• Main Author: 任莉 宓一鸣
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.09.2010
• Subjects: 二维空穴气; 反常霍尔效应; 形式主义; 杂质散射; 自旋极化; 自旋轨道相互作用; 自旋轨道耦合
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/54/3/34

Based on the Kubo formalism, the anomalous Hall effect in a magnetic two-dimensional hole gas with cubic-Rashba spin-orbit coupling is studied in the presence of δ-function scattering potential. When the weak, shortranged disorder scattering is considered in the Born approximation, we find that the self-energy becomes diagonal in the helicity basis and its value is independent of the wave number, and the vertex correction to the anomalous Hall conductivity due to impurity scattering vanishes when both subbands are occupied. That is to say, the anomalous Hall effect is not vanishing or influenced by the vertex correction for two-dimensional heavy-hole system, which is in sharp contrast to the case of linear-Rashba spin-orbit coupling in the electron band when the short-range disorder scattering is considered and the extrinsic mechanism as well as the effect of external electric field on the SO interaction are ignored.