论文标题
部分可观测时空混沌系统的无模型预测
Fluctuation contribution to Spin Hall Effect in Superconductors
论文作者
论文摘要
从理论上讲,我们研究了二维电子气体和三维电子气体的超导波动对外部自旋霍尔效应的贡献,并在二维电子气体中具有rashba型自旋轨道相互作用的固有自旋霍尔效应。 Aslamazov-larkin,州的密度,Maki-Thompson的术语具有对数差异$ \lnε$在极限$ $ε=(t- t _ {\ mathrm {c}}})/t _ {\ mathrm {\ mathrm {c}}}} \ oirtarrow +0 $ nextiment and intiment and intiment system and intiment system and intiments and system systins and system,外部效果的术语,与$(ε-γ_φ)^{ - 1} \lnε$成正比,并在二维系统中具有截止$γ_φ$。我们发现,在正常状态下,对外部旋转大厅效应的波动效应具有相反的迹象,而固有旋转厅效应的效果则具有相同的符号。
We theoretically study the contribution of superconducting fluctuation to extrinsic spin Hall effects in two- and three-dimensional electron gas and intrinsic spin Hall effects in two-dimensional electron gas with Rashba-type spin-orbit interaction. The Aslamazov-Larkin, Density-of-States, Maki-Thompson terms have logarithmic divergence $\lnε$ in the limit $ε=(T- T_{\mathrm{c}})/T_{\mathrm{c}} \rightarrow +0$ in two-dimensional systems for both extrinsic and intrinsic spin Hall effects except the Maki-Thompson terms in extrinsic effect, which are proportional to $(ε-γ_φ)^{-1}\lnε$ with a cutoff $γ_φ$ in two-dimensional systems. We found that the fluctuation effects on the extrinsic spin Hall effect have an opposite sign to that in the normal state, while those on the intrinsic spin Hall effect have the same sign.