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Luttinger-liquid behavior in weakly disordered quantum wires.

E Levy1, A Tsukernik, M Karpovski

  • 1School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel. eyallevy@post.tau.ac.il

Physical Review Letters
|December 13, 2006
PubMed
Summary
This summary is machine-generated.

We studied conductance in GaAs/AlGaAs quantum wires, finding results align with Luttinger-liquid theory for low disorder. Higher disorder levels in these wires complicate analysis and yield inaccurate interaction parameter values.

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Area of Science:

  • Condensed Matter Physics
  • Mesoscopic Physics
  • Semiconductor Nanostructures

Background:

  • Quantum wires exhibit unique electronic properties due to reduced dimensionality.
  • The Luttinger-liquid model describes interacting electrons in one-dimensional systems.
  • Disorder significantly impacts electron interactions and transport properties in quantum wires.

Purpose of the Study:

  • To investigate the temperature dependence of conductance in V-groove quantum wires.
  • To compare experimental findings with the Luttinger-liquid model under varying disorder levels.
  • To determine the interaction parameter (g) and assess the influence of disorder on its measurement.

Main Methods:

  • Fabrication of long V-groove quantum wires in GaAs/AlGaAs heterostructures.
  • Measurement of temperature dependence of conductance.
  • Analysis of data using the Luttinger-liquid model and perturbation theory.

Main Results:

  • Experimental data for weakly disordered wires agree with the Luttinger-liquid model, yielding g ≈ 0.66.
  • Stronger temperature dependence of conductance was observed in wires with higher disorder.
  • Perturbation theory fitting for highly disordered wires resulted in underestimated values of g.

Conclusions:

  • The Luttinger-liquid model accurately describes conductance in low-disorder GaAs/AlGaAs quantum wires.
  • Increased disorder in quantum wires deviates from theoretical predictions and complicates parameter extraction.
  • Accurate measurement of the interaction parameter requires careful consideration of disorder levels in quantum wire systems.