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In the organic superconducting \kappa-(BEDT-TTF) compounds, various transportphenomena exhibit striking non-Fermi liquid behaviors, which should be theimportant clues to understanding the electronic state of this system.Especially, the Hall coefficient ($R_H$) shows Curie-Weiss type temperaturedependence, which is similar to that of high-Tc cuprates. In this paper, westudy a Hubbard model on an anisotropic triangular lattice at half filling,which is an effective model of \kappa-(BEDT-TTF) compounds. Based on thefluctuation-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 theoreticalresults of $R_H$ and $cot(\theta_H)$ explain the experimental behaviors well,which are unable to be reproduced by the conventional Boltzmann transportapproximation. Moreover, we extend the standard Eliashberg's transport theoryand derive the more precise formula for the conductivity, which becomesimportant at higher temperatures.Comment: 9 pages, revtex, 12 figures. Accepted for publication in Physical  Review B (01 Apr 2001

physical review. b, condensed matter

Theory of the Hall coefficient and resistivity for the layered organic superconductors<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>κ</mml:mi><mml:mo>−</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">BEDT</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">TTF</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mi>X</mml:mi></mml:math>

Theory of the Hall coefficient and resistivity for the layered organic superconductorsκ−(BEDT−TTF)2X