Conductance through contact barriers of a finite-length quantum wire

Siddhartha Lal, Sumathi Rao, and Diptiman Sen
Phys. Rev. B 65, 195304 – Published 22 April 2002
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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 2Ne2/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.

  • Received 23 April 2001

DOI:https://doi.org/10.1103/PhysRevB.65.195304

©2002 American Physical Society

Authors & Affiliations

Siddhartha Lal1, Sumathi Rao2, and Diptiman Sen1

  • 1Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India
  • 2Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India

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Vol. 65, Iss. 19 — 15 May 2002

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