Abstract
The organic conductor α-(BEDT-TTF)2I3 exhibits the zero-gap state (ZGS) described by the massless Dirac fermions, and is in contrast to that of the single layer graphite, i.e. graphene since the former is robust against the site potential compared with the latter. However, the ZGS of the organic conductor is not fully clarified due to the complexity of several kinds of transfer energies arising from four kinds of donor molecules in a unit cell. In the present paper, we analyze the details of the ZGS by focusing on the role of the anion potential, which acts differently on respective site of donor molecules. We show that the anion potential with a small magnitude does not destroy the ZGS but has an effect of varying the location of the contact point between the conduction and valence bands as found in the case of pressure. Such a behavior can be understood by the tilted Weyl equation with a perturbation for the potential. Further, the ZGS is discussed by examining the relation between the anion potential and the charge disproportionation.
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