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This paper proposes a quantized "heliciton" mechanism to explain chirality-induced spin selectivity (CISS) through inelastic resonant scattering rather than static potentials. By modeling the interaction between Dirac waves and screw-symmetric environmental excitations, it offers a novel theoretical framework for understanding spin-dependent transport phenomena at various temperatures. This represents significant foundational research into quantum mechanical effects relevant to advanced materials science and potential future quantum devices.
Heliciton-Assisted Chirality-Induced Spin Selectivity from Helical Dirac Current
arXiv:2607.00624v2 Announce Type: replace Abstract: 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 $\phi-qz$, longitudinal momentum $\hbar q$, and energy $\hbar\Omega_q$. 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 $\mathcal J_\chi(k)$ 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 $\mathcal O(T)=\exp[-\hbar\Omega_q/(k_BT)]$. 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-$\Omega_q$ 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.
Abstract: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 $\phi-qz$, longitudinal momentum $\hbar q$, and energy $\hbar\Omega_q$. 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 $\mathcal J_\chi(k)$ 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 $\mathcal O(T)=\exp[-\hbar\Omega_q/(k_BT)]$. 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-$\Omega_q$ 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.
8 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
arXiv:2607.00624 [quant-ph]
(or arXiv:2607.00624v2 [quant-ph] for this version)
From: Ju Gao Prof. [view email] [v1] Wed, 1 Jul 2026 08:42:18 UTC (12 KB) [v2] Fri, 17 Jul 2026 17:41:09 UTC (16 KB)
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