Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
arXiv:cond-mat/0509672 · doi:10.1103/PhysRevB.73.094516
Abstract
We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon model we study the renormalization group flow and the phase diagram. We try to bridge the phase diagrams obtained from the weak and the strong coupling renormalization group calculations to extract a more comprehensive picture of the complete phase diagram. The relevance of our theory to experiments in nanowires is discussed.
13 pages, 3 figures, A few typos are corrected
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- Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
- Quantum-Criticality in Dissipative Quantum Two-Dimensional XY and Ashkin-Teller Models: Application to the Cuprates
- Symmetries and collective excitations in large superconducting circuits
- Enhanced Coherence of a Quantum Doublet Coupled to Tomonaga-Luttinger Liquid Leads
- Appearance of ferroelectricity in thin films of incipient ferroelectric
- Magnetic phases in the one-dimensional Kondo chain on a metallic surface
- Resistively shunted Josephson junctions: QFT predictions versus MC results
- Gate Tunable Dissipation and "Superconductor-Insulator" Transition in Carbon Nanotube Josephson Transistors
- Dissipation-induced phase transitions in superconducting wires
- Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films
- Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
- Monte Carlo simulations of dissipative quantum Ising models
- Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals
- Metastability and bifurcation in superconducting nanorings