The Effect of Quantum Phase Slip Interactions on the Transport of Thin Superconducting Wires

Abstract

We study theoretically the effect of interactions between quantum phase slips in a short superconducting wire beyond the dilute phase slip approximation. In contrast to the smooth transition in dissipative Josephson junctions, our analysis shows that treating these interactions in a self consistent manner leads to a very sharp transition with a critical resistance of $R_Q=h/(4e^2)$. The addition of the quasi-particles resistance at finite temperature leads to a quantitative agreement with recent experiments on short MoGe nanowires. Our treatment is complementary to the theory of the thermal activation of phase slips, which is only valid for temperature at the vicinity of the mean field metal to superconductor transition. This self consistent treatment should also be applicable to other physical systems that can be mapped onto similar sine-Gordon models, in the intermediate-coupling regime.

4 pages, 3 figures

References in corpus (1)

• Dichotomy in short superconducting nanowires: thermal phase slippage vs. Coulomb blockade

Cited by in corpus (24)

• Superconductivity in one dimension
• Probing individual topological tunnelling events of a quantum field via their macroscopic consequences
• Resistance in Superconductors
• Evidence of quantum phase slip effect in titanium nanowires
• Inherent stochasticity of superconductive-resistive switching in nanowires
• Determination of the Superconductor-Insulator Phase Diagram for One-Dimensional Wires
• Coulomb Blockade due to Quantum Phase-Slips Illustrated with Devices
• Dynamics of superconducting nanowires shunted with an external resistor
• Fractional Order Shapiro Steps in Superconducting Nanowires
• Superconductor-insulator transition in nanowires and nanowire arrays
• Current-phase Relationship, Thermal and Quantum Phase Slips in Superconducting Nanowires made on Scaffold Created using Adhesive Tape
• Negative magnetoresistance of ultra-narrow superconducting nanowires in the resistive state
• Superconductor Insulator Transition in Long MoGe Nanowires
• Flux-charge duality and topological quantum phase fluctuations in quasi-one-dimensional superconductors
• Universal thermal and electrical transport near the superconductor-metal quantum phase transition in nanowires
• Asymmetric nanowire SQUID: linear CPR, stochastic switching, and symmetries
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Theory of coherent quantum phase-slips in Josephson junction chains with periodic spatial modulations
• Quantum mechanics of superconducting nanowires
• Finite representations of continuum environments
• Quantum phase slips in a confined geometry
• Superconductor-to-normal transition in finite nanowires
• Strong suppression of the resistivity near the transition to superconductivity in narrow micro-bridges in external magnetic fields
• Quantum fluctuations in one-dimensional supersolids