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In the last decade, chirality-induced spin selectivity (CISS) has beenattracting extensive interest. However, there still exists a large gap betweenexperiments and quantitative theoretical results, and the microscopic mechanismof CISS, especially transverse CISS where electrons are injected perpendicularto the helix axis of chiral molecules, remains elusive. Here, we address theseissues by performing a combined experimental and theoretical study onconducting polyaniline helical nanofibers which are synthesized in the absenceof any chiral species. Large spin polarization is measured in both left- andright-handed nanofibers for electrons injected perpendicular to their helixaxis, which is comparable to the value of parallel electron injection in otherchiral molecules, and it will be reversed by switching the handedness betweentwo enantiomers. We develop a theoretical model with extremely weak spin-orbitcoupling arising exclusively from electron propagation between neighboringpolyanilines and the numerical results are quantitatively consistent with theexperimental data. Our results demonstrate that the supramolecular handednessis sufficient for spin-selective electron transmission in chiral moleculesassembled from achiral monomers and the mechanism of transverse CISS isrevealed.

Transverse spin selectivity in helical nanofibers prepared without any chiral molecule