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It is well known that carbon nanotubes (CNs) have strong spin coherence due to the unique electronic states. In addition, possibilities of the presence of strong spin entanglement in Cooper pairs and separation of them into individual spins by Tomonaga-Luttinger liquid states (TLLSs) in CNs have recently been reported. In the present study, we report 1. Evidence of spin splitting in Cooper pairs by the TLLSs in CNs and injection of individual spins into different CNs, 2. Finding of high-Tc intrinsic superconductivity competing to the TLLSs, and 3. The possibility of a molecular quantum spin entangler by utilizing them.
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