Geometric Phase of electrons due to the Spin-rotation Coupling in Rotating C₆₀ Molecules

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The rapidly rotational motion of C₆₀ molecules provides us with an ingenious way to test Mashhoon's spin-rotation coupling. The spin-rotation coupling of electrons in the rotating C₆₀ molecule is considered in the present letter. It is shown that the intrinsic spin (gravitomagnetic moment) of the electron that can be coupled to the time-dependent rotating frequency of rotating frame of reference (C₆₀ molecule) results in a geometric phase, which may be measured through the electronic energy spectra of C₆₀ molecules.