Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films

Abstract

We study the low-temperature properties of linear Josephson-junction arrays capacitively coupled to a proximate two-dimensional diffusive metal. Using bosonization techniques, we derive an effective model for the array and obtain its critical properties and phases at T = 0 using a renormalization group analysis and a variational approach. While static screening effects given by the presence of the metal can be absorbed in a renormalization of the parameters of the array, backscattering originated in the dynamically screened Coulomb interaction produces a non-trivial stabilization of the insulating groundstate and can drive a superconductor-insulator transition. We study the consequences for the transport properties in the low-temperature regime. In particular, we calculate the resisitivity as a function of the temperature and the parameters of the array, and obtain clear signatures of a superconductor-insulator transition that could be observed in experiments.

10 pages, 5 figures, submitted to Physical Review B

References in corpus (5)

• Measurement of the effect of quantum phase-slips in a Josephson Junction chain
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
• Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals
• Length-Scale Dependent Superconductor-Insulator Quantum Phase Transition in One Dimension

Cited by in corpus (9)

• Implementation of low-loss superinductances for quantum circuits
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Quantum phase slips in one-dimensional superfluids in a periodic potential
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Quantum phase transition with dissipative frustration
• Dissipation in a topological Josephson junction
• Non-equilibrium quantum transport through a dissipative resonant level
• Phase coherence in one-dimensional superconductivity by power-law hopping
• Dissipative Majorana quantum wires