Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited

The method of the quasiclassical Green's function is used to determine the equilibrium properties of one‐dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a novel approach to 1D systems, our findings do agree with standard results for Luttinger liquids obtained with the bosonization method. Analogies to the so‐called P (E) theory of tunneling through ultrasmall junctions are pointed out and are exploited. Further applications of the Green's function method for 1D systems are discussed. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)