The various competing contributions to the anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic, extrinsic and external electric-field induced spin-orbit coupling we...The various competing contributions to the anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic, extrinsic and external electric-field induced spin-orbit coupling were investigated theoretically. Based on a unified semiclassical theoretical approach, it is shown that the total anomalous Hall conductivity can be expressed as the sum of three distinct contributions in the presence of these competing spin-orbit interactions, namely an intrinsic contribution determined by the Berry curvature in the momentum space, an extrinsic contribution determined by the modified Bloch band group velocity and an extrinsic contribution determined by spin-orbit-dependent impurity scattering. The characteristics of these competing contributions are discussed in detail in the paper.展开更多
The extrinsic mechanism for anomalous Hall effect in ferromagnets is extended to include the contributionsboth from spin-orbit-dependent impurity scattering and from the spin-orbit coupling induced by external electri...The extrinsic mechanism for anomalous Hall effect in ferromagnets is extended to include the contributionsboth from spin-orbit-dependent impurity scattering and from the spin-orbit coupling induced by external electric fields.The results obtained suggest that, within the framework of the extrinsic mechanisms, the anomalous Hall current in aferromagnet may also contain a substantial amount of dissipationless contribution independent of impurity scattering.After the contribution from the spin-orbit coupling induced by external electric fields is included, the total anomalousHall conductivity is about two times larger than that due to spin-orbit dependent impurity scatterings.展开更多
This paper shows that a substantial amount of dissipationless spin-Hall current contribution may exist in the extrinsic spin-Hall effect,which originates from the spin-orbit coupling induced by the applied external el...This paper shows that a substantial amount of dissipationless spin-Hall current contribution may exist in the extrinsic spin-Hall effect,which originates from the spin-orbit coupling induced by the applied external electric field itself that drives the extrinsic spin-Hall effect in a nonmagnetic semiconductor （or metal）.By assuming that the impurity density is in a moderate range such that the total scattering potential due to all randomly distributed impurities is a smooth function of the space coordinate,it is shown that this dissipationless contribution shall be of the same orders of magnitude as the usual extrinsic contribution from spin-orbit dependent impurity scatterings （or may even be larger than the latter one）.The theoretical results obtained are in good agreement with recent relevant experimental results.展开更多
基金supported by the National Natural Science Foundation of China (Grant No.10874049)
文摘The various competing contributions to the anomalous Hall effect in spin-polarized two-dimensional electron gases in the presence of both intrinsic, extrinsic and external electric-field induced spin-orbit coupling were investigated theoretically. Based on a unified semiclassical theoretical approach, it is shown that the total anomalous Hall conductivity can be expressed as the sum of three distinct contributions in the presence of these competing spin-orbit interactions, namely an intrinsic contribution determined by the Berry curvature in the momentum space, an extrinsic contribution determined by the modified Bloch band group velocity and an extrinsic contribution determined by spin-orbit-dependent impurity scattering. The characteristics of these competing contributions are discussed in detail in the paper.
基金Supported by the National Natural Science Foundation of China under Grant No.10874049the State Key Program for Basic Research of China under Grant No.2007CB925204the Natural Science Foundation of Guangdong Province under Grant No.07005834
文摘The extrinsic mechanism for anomalous Hall effect in ferromagnets is extended to include the contributionsboth from spin-orbit-dependent impurity scattering and from the spin-orbit coupling induced by external electric fields.The results obtained suggest that, within the framework of the extrinsic mechanisms, the anomalous Hall current in aferromagnet may also contain a substantial amount of dissipationless contribution independent of impurity scattering.After the contribution from the spin-orbit coupling induced by external electric fields is included, the total anomalousHall conductivity is about two times larger than that due to spin-orbit dependent impurity scatterings.
基金Project supported by the National Natural Science Foundation of China (Grant No 10874049)the State Key Program for Basic Research of China (Grant No 2007CB925204)the Natural Science Foundation of Guangdong Province of China (Grant No07005834)
文摘This paper shows that a substantial amount of dissipationless spin-Hall current contribution may exist in the extrinsic spin-Hall effect,which originates from the spin-orbit coupling induced by the applied external electric field itself that drives the extrinsic spin-Hall effect in a nonmagnetic semiconductor （or metal）.By assuming that the impurity density is in a moderate range such that the total scattering potential due to all randomly distributed impurities is a smooth function of the space coordinate,it is shown that this dissipationless contribution shall be of the same orders of magnitude as the usual extrinsic contribution from spin-orbit dependent impurity scatterings （or may even be larger than the latter one）.The theoretical results obtained are in good agreement with recent relevant experimental results.
