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Quantum superconductor-metal transition in a proximity array.

M V Feigel'man1, A I Larkin, M A Skvortsov

  • 1L.D. Landau Institute for Theoretical Physics, Moscow, Russia.

Physical Review Letters
|April 6, 2001
PubMed
Summary
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This study explores the superconductor-metal transition in arrays of superconductive islands. The macroscopic superconductive state is destroyed at a critical conductance, revealing insights into quantum phase transitions.

Area of Science:

  • Condensed Matter Physics
  • Quantum Phenomena
  • Materials Science

Background:

  • Superconductor-metal transitions are crucial for understanding quantum materials.
  • Disordered conductors coupling superconductive islands present complex electronic behaviors.

Purpose of the Study:

  • To develop a theoretical framework for the zero-temperature superconductor-metal transition.
  • To determine the critical conductance for destroying superconductivity in an array of islands.

Main Methods:

  • Theoretical modeling of a superconductor-metal transition.
  • Analysis of an array of superconductive islands coupled by a disordered 2D conductor.
  • Investigation of the system's behavior at zero and high temperatures.

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Main Results:

  • A theory for the zero-temperature superconductor-metal transition is established.
  • The critical dimensionless conductance (g_c) for destroying the macroscopic superconductive state is approximately 0.1ln(2)(b/d).
  • At high temperatures, normal-state resistance between islands is significantly lower than the quantum resistance (R_Q).

Conclusions:

  • The macroscopic superconductive state in the array is sensitive to the coupling strength and geometry.
  • The developed theory provides a quantitative prediction for the quantum phase transition point.
  • Understanding these transitions is key for designing novel electronic devices and materials.