Magnetic Field Effect in a Two-dimensional Array of Short Josephson Junctions

Quantum Hall fluid of vortices in a two-dimensional array of Josephson junctions.

A two dimensional array of Josephson junctions in a magnetic field is considered. It is shown that the dynamics of the vortices in the array resembles that of electrons on a two– dimensional lattice put in a magnetic field perpendicular to the lattice. Under appropriate conditions, this resemblance results in the formation of a quantum Hall fluid of vortices. The bosonic nature of vortices and ...

Magnetic field dependence of dynamical vortex response in two-dimensional Josephson junction arrays and superconducting films

The dynamical vortex response of a two-dimensional array of the resistively shunted Josephson junctions in a perpendicular magnetic field is inferred from simulations. It is found that, as the magnetic field is increased at a fixed temperature, the response crosses over from normal to anomalous, and that this crossover can be characterized by a single dimensionless parameter. It is described ho...

Effect of cross-type bias in a two-dimensional array of short Josephson junctions

Theory of two-dimensional Josephson arrays in a resonant cavity

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative coupling to a heat bath, we write down the Heisenberg equations of motion for the variables of the Josephson junction and the cavity mode, extending our previo...

Ground state properties of charge and magnetically frustrated two–dimensional quantum Josephson–junction arrays

We study a quantum Hamiltonian that models an two–dimensional array of Josephson junctions with short range Josephson couplings, (given by the Josephson energy EJ ) and charging energiey EC due to the small capacitance of the junctions. We include the effects from both the self-C0 and the junctionC1 capacitances in the presence of external magnetic flux f = Φ/Φ0 as well as uniform background of...