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Localization and delocalization in dirty superconducting wires

Brouwer1, Furusaki, Gruzberg

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary
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We developed Fokker-Planck equations to model heat and spin transport in superconducting quantum wires. Anomalous heat transport was observed, with conductance decaying as 1/sqrt[L] in certain conditions.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Superconducting quantum wires are crucial for quantum technologies.
  • Understanding heat and spin transport is key to device performance.
  • Disorder and symmetry breaking significantly impact electronic properties.

Purpose of the Study:

  • To develop a theoretical framework describing heat and spin transport in disordered unconventional superconducting quantum wires.
  • To investigate the impact of symmetry classes (time-reversal and spin-rotation invariance) on transport properties.
  • To analyze anomalous heat transport phenomena and quasiparticle conductance.

Main Methods:

  • Derivation of Fokker-Planck equations for heat and spin transport.
  • Classification of systems into four symmetry classes.

Related Experiment Videos

  • Exact solution of Fokker-Planck equations under time-reversal symmetry.
  • Calculation of mean conductance across diffusive and localized regimes.
  • Main Results:

    • Fokker-Planck equations successfully model heat and spin transport.
    • Four distinct symmetry classes were identified.
    • Anomalous heat transport observed: mean conductance decays as 1/sqrt[L] when spin-rotation symmetry is broken.
    • Exact solutions obtained for time-reversal symmetric cases, enabling conductance calculation.

    Conclusions:

    • The study provides a comprehensive theoretical model for transport in superconducting quantum wires.
    • Anomalous heat transport is a significant consequence of broken spin-rotation symmetry.
    • The findings offer insights into controlling and optimizing quantum devices based on superconducting wires.