Transport properties of two‐dimensionally fused zinc porphyrins from linear‐response approach

Transport properties, temperature‐dependent phonon‐limited electrical and thermal resistivities in the normal state of two‐dimensionally (2D) infinite‐fused zinc porphyrin with a directly meso ‐ meso ‐, β‐β‐, and β‐β‐linked array structure ZnP ∞ were theoretically calculated using linear‐response approach based on density functional theory (DFT). The calculated transport electron–phonon coupling (EPC) constant using the density functional perturbation theory (DFPT) shows almost equal to the superconducting EPC constant, which is the similar situation within a difference by ca. 10% between them for the transition metals. The calculated electrical and thermal resistivities at 300 K obtained by solving the Boltzmann equation within the lowest‐order variational approximation (LOVA) are only larger by one digit than those of the reference metal Al, expecting to become a fantastic 2D synthetic metal without an injection of conductive carriers from outside, e.g., by doping. The calculated results for the 2D infinite‐fused lithium porphyrin LiP ∞ with the same ground state as the one‐electron oxidative state of ZnP ∞ were also discussed for comparison. This simple approach using the first applied plane‐wave ultrasoft pseudopotentials (US‐PPs) is a usable technique for the prediction of the transport properties of simple metallic materials within the practical temperature range. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011