A minimal model of quantized conductance in interacting ballistic quantum wires

Abstract

We review what we consider to be the minimal model of quantized conductance in a finite interacting quantum wire. Our approach utilizes the simplicity of the equation of motion description to both deal with general spatially dependent interactions and finite wire geometry. We emphasize the role of two different kinds of boundary conditions, one associated with local "chemical" equilibrium in the sense of Landauer, the other associated with screening in the proximity of the Fermi liquid metallic leads. The relation of our analysis to other approaches to this problem is clarified. We then use our formalism to derive a Drude type expression for the low frequency AC-conductance of the finite wire with general interaction profile.

6 pages, 2 figures; extended discussion, references added

References in corpus (3)

• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• 0.7 Structure and Zero Bias Anomaly in Ballistic Hole Quantum Wires
• Influence of the contacts on the conductance of interacting quantum wires

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