Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals

Abstract

We study the screening of the Coulomb interaction in a quasi one-dimensional superconductor given by the presence of either a one- or a two-dimensional non-interacting electron gas. To that end, we derive an effective low-energy phase-only action, which amounts to treating the Coulomb and superconducting correlations in the random-phase approximation. We concentrate on the study of dissipation effects in the superconductor, induced by the effect of Coulomb coupling to the diffusive density-modes in the metal, and study its consequences on the static and dynamic conductivity. Our results point towards the importance of the dimensionality of the screening metal in the behavior of the superconducting plasma mode of the wire at low energies. In absence of topological defects, and when the screening is given by a one-dimensional electron gas, the superconducting plasma mode is completely damped in the limit $q\to 0$, and consequently superconductivity is lost in the wire. In contrast, we recover a Drude-response in the conductivity when the screening is provided by a two-dimensional electron gas.

16 pages, 8 figures, 1 table, 2 appendices

References in corpus (7)

• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Coulomb drag by small momentum transfer between quantum wires
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Stabilizing Superconductivity in Nanowires by Coupling to Dissipative Environments
• Gate Tunable Dissipation and "Superconductor-Insulator" Transition in Carbon Nanotube Josephson Transistors
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• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Modeling Particle Loss in Open Systems using Keldysh Path Integral and Second Order Cumulant Expansion
• Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films
• Josephson junction chains with long-range interactions: Phase slip proliferation versus Kosterlitz-Thouless transition