Nonlocal Corrections to the DFT-LDA Electron Conductance in Nanoscale Systems

Using time-dependent current-density functional theory, we derive analytically the nonlocal exchange-correlation correction to the conductance of nanoscale junctions. The correction pertains to the conductance calculated in the zero-frequency limit of time-dependent density-functional theory within the adiabatic local-density approximation. In particular, we show that in linear response the correction depends nonlinearly on the gradient of the electron density; thus, it is more pronounced for molecular junctions than for quantum point contacts. We provide specific numerical examples to illustrate these findings.