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 …

A strong-coupling expansion for the phase boundary of the (incompressible) Mott insulator is
presented for the Bose-Hubbard model. Both the pure case and the disordered case are …

We investigate the properties of strongly interacting bosons in two dimensions at zero
temperature using mean-field theory, a variational ansatz for the ground-state wave function …

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 thermodynamic properties of non-interacting bosons on a complex network can be
strongly affected by topological inhomogeneities. The latter give rise to anomalies in the …

Philosophy of science, like science, is an amorphous and adaptable human endeavour. The
shape it takes at any particular time is conditioned both by prevailing endogenous …

We investigate the superconductor-insulator phase transition in the two-dimensional boson
Hubbard system with short-range interactions. Fluctuations of both the phase and the …

The zero temperature properties of interacting two dimensional lattice bosons are
investigated. We present Monte Carlo data for soft-core bosons that demonstrate the …

The magnetization process of the spin-1/2 antiferromagnetic XXZ models with Ising-like
anisotropy in the ground state is investigated. We show numerically that the Ising-like XXZ …

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 …