Dissipation-driven quantum phase transition in superconductor-graphene systems

Abstract

We show that a system of Josephson junctions coupled via low-resistance tunneling contacts to graphene substrate(s) may effectively operate as a current switching device. The effect is based on the dissipation-driven superconductor-to-insulator quantum phase transition, which happens due to the interplay of the Josephson effect and Coulomb blockade. Coupling to a graphene substrate with gapless excitations further enhances charge fluctuations favoring superconductivity. The effect is shown to scale exponentially with the Fermi energy in graphene, which can be controlled by the gate voltage. We develop a theory, which quantitatively describes the quantum phase transition in a two-dimensional Josephson junction array, but it is expected to provide a reliable qualitative description for one-dimensional systems as well. We argue that the local effect of dissipation-induced enhancement of superconductivity is very robust and a similar sharp crossover should be present in finite Josephson junction chains.

4 pages, 3 figures

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• Electrical Control of the Superconducting-to-Insulating Transition in Graphene/Metal Hybrids
• Proximity coupling in superconductor-graphene heterostructures
• Quantum criticality in spin chains with non-ohmic dissipation
• Premature Switching in Graphene Josephson Transistors
• Dissipation-induced topological transitions in continuous Weyl materials
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Dissipation in a topological Josephson junction
• Phase coherence in one-dimensional superconductivity by power-law hopping
• Josephson coupling between superconducting islands on single and bilayer graphene
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• Non-Adhesive Transfer Process of Carbon Nanotube Forests onto Flexible Kapton Substrates