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Since the chiral-induced spin selectivity (CISS) was first observedexperimentally, its microscopic mechanism has been continuously explored by thescientific community. Among these investigations, the non-equilibrium effectsand the unknown origins of spin-orbit coupling (SOC) have been the centralissues discussed in recent years. Here, we have achieved a persistent spincurrent in different circular single-helix molecule driven by a magnetic field,which is inherently linked to the equilibrium state associated with chirality.Due to its measurement method being different from the transport currentsobserved in previous experiments, the origin of its spin-orbit coupling can beexplored by modifying the substrate with different light and heavy metalelements. Our results demonstrate that a persistent spin current can beobserved regardless of whether the SOC originates from the chiral molecule orthe substrate. Furthermore, by tuning the direction of the magnetic field, wecan achieve a phase transition between trivial and non-trivial chiralpersistent spin currents. Our work provides a new perspective and platform forexploring the nature of CISS and controlling the effects of CISS.

Chirality-dependent persistent spin current in single circular helix molecules