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Conductance through contact barriers of a finite-length quantum wire

Lal, S and Rao, S and Sen, D (2002) Conductance through contact barriers of a finite-length quantum wire. In: Physical Review B, 65 (19).

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Official URL: http://prola.aps.org/pdf/PRB/v65/i19/e195304

Abstract

We use the technique of bosonization to understand a variety of recent experimental results on the conductivity of a quantum wire. The quantum wire is taken to be a finite-length Luttinger liquid connected on two sides to semi-infinite Fermi liquids through contacts. The contacts are modeled as (short) Luttinger liquids bounded by localized one-body potentials. We use effective actions and the renormalization group to study the effects of electronic interactions within the wire, the length of the wire, finite temperature, and a magnetic field, on the conductivity. We explain the deviations of the conductivity from 2Ne(2)/h in wires that are not too short as arising from renormalization effects caused by the repulsive interactions. We also explain the universal conductance corrections observed in different channels at higher temperatures. We study the effects of an external magnetic field on electronic transport through this system and explain why odd and even spin-split bands show different renormalizations from the universal conductance values. We discuss the case of resonant transmission and of the possibility of producing a spin valve that only allows electrons of one value of the spin to go through. We compare our results for the conductance corrections with experimental observations. We also propose an experimental test of our model of the contact regions.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Soc
Additional Information: Copyright of this article belongs to The American Physical Society.
Keywords: Dimensional Electron-Gas;Quantized Conductance;Anderson Localization;Luttinger-Liquid;Point Contacts;Transport; Spin;Transmission;System;Leads
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 18 Mar 2009 09:26
Last Modified: 19 Sep 2010 05:01
URI: http://eprints.iisc.ac.in/id/eprint/18420

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