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Linear temperature dependence of the transverse electrical resistivity of organic metals arising from electron-electron umklapp scattering

We have calculated the electron-electron scattering contribution to the electrical resistivity ( rho perpendicular to ) in the two transverse directions for an anisotropic tight-binding cosine band. This type of band structure is thought to apply to organic metals such as the Bechgaard salts. Simple expressions for rho perpendicular to were obtained using the standard variational method. In all cases we found rho perpendicular to = alpha T+ beta T^2. For the b direction alpha approximately t_b^-2 and beta approximately t_b^-3, and for the c axis alpha approximately t_c^-2 while the expression for beta is more complicated. The above formulas are compared with experimental data and the effective Coulomb interaction for the Bechgaard salts is found to be U approximately=0.64 eV.

temperature dependence ; transverse electrical resistivity ; organic metals ; electron-electron umklapp scattering ;

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