FINITE-TEMPERATURE GENERALIZATION OF THE LINE AND POLE DECOMPOSITION FOR SELF-ENERGIES - APPLICATION TO ONE-DIMENSIONAL QUANTUM WIRES

We present a method for obtaining expressions for the analytic continuation of finite-temperature self-energies which are suitable for use in numerical computations. In the case of the GW approximation for the self-energy, this method gives the finite-temperature generalization of the zero-temperature ''line and pole'' decomposition. This formalism is used to calculate the finite-temperature self-energy and band-pp renormalization of electrons in the extreme quantum limit of a quantum wire.