Abstract

We examine the dynamical conductivity of massless Dirac electrons in organic conductors where the Dirac cone is tilted and a chemical potential is located close to zero doping. The frequency (ω) dependences of the real part σ1(ω) and the imaginary part σ2(ω) are calculated by varying the degrees of tilting and doping. It is shown that σ1(ω) with a large tilting takes a maximum around ω = 0 for small dopings. The limiting value of σ1(ω) for ω → ∞ is independent of the tilting, and σ1(ω) in an interval range of ω displays a considerable dependence on the tilting. The effect of tilting on σ2(ω) appears noticeably for a large ω, where σ2(ω) 0] for a large (small) tilting. These ω dependences are discussed in terms of the effect of the intraband excitation, which is enhanced by the tilting compared with that of the interband excitation. A possible experimental observation in organic conductors is discussed.

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