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

Abstract

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.

7 pages, Proceedings of ECNM06, Ustron, Poland (references added)

References in corpus (18)

• Bosonization for Beginners --- Refermionization for Experts
• Electron--electron Interactions in Disordered Metals: Keldysh Formalism
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas
• Quasiclassical theory of superconductivity: a multiple interface geometry(II)
• Unification of electromagnetic noise and Luttinger liquid via a quantum dot
• Luttinger liquids with boundaries: Power-laws and energy scales
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
• The electron lifetime in Luttinger liquids
• Spin relaxation in narrow wires of a two-dimensional electron gas
• Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''
• D-Wave Superconductors near Surfaces and Interfaces: A Scattering Matrix Approach within the Quasiclassical Technique
• Quasiclassical theory of charge transport in disordered interacting electron systems
• Tunneling Density of States of the Interacting Two-Dimensional Electron Gas
• Reply to the Comment on "Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids"
• Finite-Size Bosonization and Self-Consistent Harmonic Approximation
• Superconductor-Ferromagnet Bi-Layers: a Comparison of s-Wave and d-Wave Order Parameters

Cited by in corpus (5)

• Relaxation processes in a disordered Luttinger liquid
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Extended quasiparticle Padé approximation for non-Fermi liquids
• Electronic quantum wires in extended quasiparticle picture
• Off-shell selfenergy for 1-D Fermi liquids