# Superconductor-insulator transition and universal resistance in Josephson-junction arrays in a magnetic field.

@article{Granato1990SuperconductorinsulatorTA, title={Superconductor-insulator transition and universal resistance in Josephson-junction arrays in a magnetic field.}, author={Granato and Kosterlitz}, journal={Physical review letters}, year={1990}, volume={65 10}, pages={ 1267-1270 } }

The zero-temperature superconducting transition in a Josephson-junction array with half of a flux quantum per plaquette is considered. Its critical behavior is described by an effective free energy in three dimensions with a transition in a new universality class. From this we infer the critical behavior and the value of the universal resistance at the transition. Relevance of these results to recent experiments on very-small-capacitance arrays is discussed.

## 30 Citations

Superconductor-insulator transition in frustrated Josephson-junction arrays on a honeycomb lattice

- Physics
- 2014

The zero-temperature superconductor to insulator transition is studied in a selfcharging model of Josephson-junction arrays on a honeycomb lattice in an external magnetic field corresponding to f…

Quantum Critical Phenomena in Ladders of Josephson Junctions in a Magnetic Field

- Physics
- 1995

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations…

Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field

- Physics
- 2016

Abstract
We study the superconductor to insulator transition at zero temperature in a
Josephson-junction array model on a honeycomb lattice with f flux quantum per
plaquette. The path integral…

Field-induced superconductor to insulator transition and phase diagram of josephson-junction ladders

- Physics
- 2006

Superconducting-insulator transition in disordered Josephson junctions networks

- Physics
- 2013

The superconducting-insulator transition is simulated in disordered networks of Josephson junctions with thermally activated Arrhenius-like resistive shunt. By solving the conductance matrix of the…

Quantum phase transitions and commensurability in frustrated Josephson junction arrays

- Physics
- 1992

The superconductor-insulator transition of an array of Josephson junctions is studied. In junctions with small capacitance the interaction of charges introduces quantum fluctuations and shifts the…

Magnetic-field frustration and chiral-glass to insulator transition in superconducting arrays with random $$\pi $$ junctions

- PhysicsThe European Physical Journal B
- 2021

We study the effects of random $$\pi $$
Josephson junctions and applied magnetic field on the quantum phase transitions of superconducting arrays, described by a two-dimensional phase-glass model.…