Theoretical study of origin of Dirac particle and Berry phase in organic conductor

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In organic conductor, electrons move in the crystal consisting of molecules where the metallic and insulating states are realized depending on the property of the energy band. Among them, zero-gap state in which electron behaves as the relativistic particle, has been found in an organic conductor. We examined such electron with an exotic band energy of Dirac cone using the quantum mechanics. We found that the phase (Berry phase) takes an important role to understand such topological property of Dirac electron. The origin has been studied in terms of the symmetry of the crystal and transfer energies which enable electrons to move between molecules. The property of Dirac cone has been elucidated through the close collaboration between experiment and theory.