The Lorenz ratios (
L = κ/(σ
T)) of the Dirac-fermion systems were numerically calculated using the Boltzmann transport theory, where κ, σ and ܶ
T are the thermal conductivity, electrical conductivity and absolute temperature, respectively. The bipolar-diffusion effect, which enhances the electronic thermal conductivity κ
e in intrinsic semiconductors, was introduced to account for the reported giant
L of a Dirac-fermion system, graphene at its neutrality condition. It was found that the calculations qualitatively reproduce the experimentally observed gate-voltage dependence of σ,
S and κ
e by considering the energy dependence of the relaxation time; and the electron- and hole-puddles. The calculated value of
L amounts to (2–4)
L0, where
L0= 2.45 × 10
-8 W·Ω·K
-2 is Sommerfeld value of Wiedemann–Franz law, while the reported
L of graphene reaches about 20
L0 at most. The rather large
L (=3.7
L0) was also observed for another Dirac-fermion system, α-(BEDT-TTF)
2I
3 (BEDT-TTF = bis(ethylenedithio)tetrathiafulvalene) by measuring simultaneously the change in the σ and κ associated with its charge-ordering transition at about 135 K for a single crystal. Another explanation of the giant
L on the basis of quantum hydrodynamics is also introduced briefly, while both the bipolar-diffusion and quantum-hydrodynamic mechanisms are not exclusive to each other.
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