Josephson-junction arrays are ideal model systems to study a variety of phenomena such as
phase transitions, frustration effects, vortex dynamics and chaos. In this review, we focus on …

We have studied two-dimensional superconducting networks coupled by Josephson
junctions in the regime where the Josephson coupling energy is comparable in magnitude …

The forces on the vortex, transverse to its velocity, are considered. In addition to the
superfluid Magnus force from the condensate (superfluid component), there are transverse …

We show that the zero-temperature physics of planar Josephson junction arrays in the self-
dual approximation is governed by an Abelian gauge theory with a periodic mixed Chern …

We study the superconductor-insulator transition of Bose-Hubbard models with finite-range
interactions. Commensurability of the charge distribution with the underlying lattice leads to …

The Bose-Hubbard model is a paradigm for the study of strongly correlated bosonic systems.
We review some of its properties with emphasis on the implications on quantum phase …

Two topics in the forefront of superconductor research--superconductor-insulator transition
in thin films and vortex tunneling in granular, bulk, and high temperature superconductors …

We study the superconductor-insulator transition of a two-dimensional Bose-Hubbard
model, considering as a specific example, an array of Josephson junctions. Within a coarse …

Using path-integral quantum Monte Carlo we study the low-temperature phase diagram of a
two-dimensional superconductor within a phenomenological model, where vortices have a …

We present a new Higgsless model of superconductivity, inspired from anyon
superconductivity but P-and T-invariant and generalisable to any dimension. While the …