AI 中文总结
提出螺旋子（heliciton）作为手性诱导自旋选择性（CISS）的量子化手性场机制，通过螺旋电子吸收/发射螺旋子产生非弹性共振边带，实现自旋极化。
AI 中文摘要
我们为手性诱导自旋选择性（CISS）发展了一种量子化手性场机制。相应的量子是螺旋子（heliciton）：一种具有相位坐标$\phi-qz$、螺旋动量$\hbar q$和能量$\hbar\Omega_q$的螺旋模式。螺旋电子可以吸收或发射这种量子，将我们先前工作中发展的静态手性顶点转化为非弹性共振散射过程。利用第一玻恩散射理论，我们证明入射的双自旋通道态产生两个螺旋子辅助边带。吸收将$\uparrow k$通道转化为$\downarrow,k+q$边带，而发射将$\downarrow k$通道转化为$\uparrow,k-q$边带。因此，螺旋子提供了将手性转换转化为共振自旋选择性通道所需的螺旋动量和能量。两个边带继承了静态理论中的相同采样电流重叠$J_\chi(k)$，但获得不同的运动学权重和不同的共振失谐。边带扇区在各自的孤立螺旋子共振处达到完全自旋极化，当$\Delta_-(k,q)=0$时$P_{\rm sb}(k,q)\simeq +1$，当$\Delta_+(k,q)=0$时$P_{\rm sb}(k,q)\simeq -1$。反转螺旋手性，$q\rightarrow -q$，交换两个边带通道并反转极化。没有引入特设的自旋依赖势。自旋选择性来自三个要素：螺旋狄拉克电流纹理、量子化螺旋对称环境运动以及螺旋动量和能量的共振交换。这将CISS识别为一种螺旋子辅助共振机制，在非弹性边带扇区中产生自旋极化。
英文摘要
We develop a quantized screw-mode mechanism for chirality-induced spin selectivity (CISS). The corresponding quantum, termed a heliciton, is a screw-symmetric environmental excitation with phase $ϕ-qz$, longitudinal momentum $\hbar q$, and energy $\hbarΩ_q$. Its absorption and emission convert the static local chiral vertex developed in our preceding work into an inelastic resonant scattering process. In first Born approximation, absorption maps $\uparrow,k$ to the $\downarrow,k+q$ sideband, whereas emission maps $\downarrow,k$ to the $\uparrow,k-q$ sideband. The two outputs share the sampled-current overlap $\mathcal J_χ(k)$ but differ in ladder factors, final momenta, and detunings. With spectral factors $\mathcal S_+$ and $\mathcal S_-$, $P_{\rm sb}=[\mathcal S_--\mathcal O(T)\mathcal S_+]/ [\mathcal S_-+\mathcal O(T)\mathcal S_+]$, where $\mathcal O(T)=\exp[-\hbarΩ_q/(k_BT)]$. An isolated emission or absorption resonance yields $P_{\rm sb}\simeq+1$ or $-1$, respectively, in the resolved sideband sector. Reversing the screw handedness interchanges the spin identities of the two sidebands while leaving their spectral and occupation weights unchanged, and therefore reverses $P_{\rm sb}$ at every temperature. At high temperature, absorption and emission have nearly equal occupation weights; at low temperature, absorption is exponentially suppressed while spontaneous emission remains. Liquid-nitrogen temperature can already produce a pronounced asymmetry for higher-$Ω_q$ modes. Thus a spatially resolved Dirac wave with spin-dependent helical conserved current couples locally to a heliciton and produces thermally weighted spin- and momentum-resolved sidebands without an ad hoc spin-dependent potential.
Comments8 pages; substantially revised and expanded. Added finite-temperature heliciton occupation analysis, enantiomeric polarization reversal at all temperatures, representative thermal estimates, linewidth assumptions, and a new Discussion and Conclusion section. Corrected scattering-amplitude signs and improved notation and references
