  In the organic superconducting \kappa-(BEDT-TTF) compounds, various transport
phenomena exhibit striking non-Fermi liquid behaviors, which should be the
important clues to understanding the electronic state of this system.
Especially, the Hall coefficient ($R_H$) shows Curie-Weiss type temperature
dependence, which is similar to that of high-Tc cuprates. In this paper, we
study a Hubbard model on an anisotropic triangular lattice at half filling,
which is an effective model of \kappa-(BEDT-TTF) compounds. Based on the
fluctuation-exchange (FLEX) approximation, we calculate the resistivity
($\rho$) and $R_H$ by taking account of the vertex corrections for the current,
which is necessary for satisfying the conservation laws. Our theoretical
results of $R_H$ and $cot(\theta_H)$ explain the experimental behaviors well,
which are unable to be reproduced by the conventional Boltzmann transport
approximation. Moreover, we extend the standard Eliashberg's transport theory
and derive the more precise formula for the conductivity, which becomes
important at higher temperatures.
