Superconductor-insulator transition in nanowires and nanowire arrays

Abstract

Superconducting nanowires are the dual elements to Josephson junctions, with quantum phase-slip processes replacing the tunneling of Cooper pairs. When the quantum phase-slip amplitude ES is much smaller than the inductive energy EL, the nanowire responds as a superconducting inductor. When the inductive energy is small, the response is capacitive. The crossover at low temperatures as a function of ES/EL is discussed and compared with earlier experimental results. For one-dimensional and two-dimensional arrays of nanowires quantum phase transitions are expected as a function of ES/EL. They can be tuned by a homogeneous magnetic frustration.

15 pages, 10 figures

References in corpus (5)

• Universal conductance of nanowires near the superconductor-metal quantum transition
• Determination of the Superconductor-Insulator Phase Diagram for One-Dimensional Wires
• Fluctuation conductivity of thin films and nanowires near a parallel-field-tuned superconducting quantum phase transition
• Sharp Superconductor-Insulator Transition in Short Wires
• Theory of the pairbreaking superconductor-metal transition in nanowires

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• Depinning of disordered bosonic chains
• High-impedance resonators for strong coupling to an electron on helium
• Charge filling factors in clean and disordered arrays of tunnel junctions
• Controllable tunnelling of single flux-quanta mediated by quantum phase-slip in disordered superconducting loops
• Quantum decay of the persistent current in a Josephson junction ring
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices
• Persistent current in a 2D Josephson junction array wrapped around a cylinder
• Theoretical proposal for dual transformation between the Josephson effect and quantum phase slip in single junction systems and nanowires
• Thermal fluctuations of the Josephson current in a ring of superconducting grains