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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Dimensional crossover in quantum networks: from macroscopic to mesoscopic physics.

Félicien Schopfer1, François Mallet, Dominique Mailly

  • 1Institut Néel, CNRS, 25 avenue des Martyrs, BP 166, 38042 Grenoble Cedex 09, France.

Physical Review Letters
|March 16, 2007
PubMed
Summary

Magnetoconductance measurements reveal quantum oscillations in metallic networks. New size-dependent behaviors emerge when network dimensions approach the phase coherent length, impacting electron transport.

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Area of Science:

  • Condensed Matter Physics
  • Mesoscopic Physics
  • Quantum Transport

Background:

  • Understanding electron transport in disordered metallic systems is crucial.
  • Quantum interference effects significantly influence magnetoconductance in such systems.

Purpose of the Study:

  • To investigate magnetoconductance oscillations in metallic networks of varying sizes.
  • To explore the transition into a mesoscopic regime with anisotropic dimensions.

Main Methods:

  • Performed magnetoconductance measurements on metallic networks.
  • Studied networks with sizes ranging from 10 to 10^6 plaquettes.
  • Analyzed anisotropic aspect ratios and their effect on oscillations.

Main Results:

  • Observed both Altshuler-Aronov-Spivak (h/2e) and Aharonov-Bohm (h/e) oscillations in all networks.
  • For large networks, oscillation amplitudes arise from incoherent superposition of phase-coherent regions.
  • A new regime with size-dependent quantum oscillations was identified when transverse size is less than phase coherent length (L_phi).

Conclusions:

  • The interplay between sample size, phase coherence, and dimensionality governs quantum oscillation behavior.
  • The transition to a mesoscopic regime introduces novel size dependencies in quantum transport phenomena.
  • Results provide insights into electron localization and interference in disordered conductors.