Theory of phase-locking in generalized hybrid Josephson-junction arrays

Quantum Phase Transitions in Josephson Junction Arrays

In this chapter we review the quantum phase transitions and transport properties of low-capacitance Josephson junction arrays. We will present the models and introduce the relevant topological excitations. The phase diagram depends in a very rich way on various control parameters. We will discuss the universality or or absence of universality of the transport properties at the quantum phase tra...

Anti-phase locking in a two-dimensional Josephson junction array

We consider theoretically phase locking in a simple two-dimensional Josephson junction array consisting of two loops coupled via a joint line transverse to the bias current. Ring inductances are supposed to be small, and special emphasis is taken on the influence of external flux. Is is shown, that in the stable oscillation regime both cells oscillate with a phase shift equal to π (i.e. anti-ph...

Microwave phase locking of Josephson-junction fluxon oscillators.

Duality in Josephson Junction Arrays

Various properties of mesoscopic two-dimensional Josephson junction arrays are reviewed. Particular attention is paid to structure of the topological excitations, charges and vortices, which are shown to be dual to each other. This duality persists in the presence of external magnetic fields and offset charges, which influence vortices and charges in an equivalent way. A double-layer junction a...

Supersolid phase in fully frustrated Josephson junction arrays

We study the phase diagram and the excitation spectra of an array of small Josephson junctions at f = 1/2 and arbitrary charge frustration. We find that the supersolid region in the phase diagram is larger than the correspondent region at f = 0 and it includes two different phases.In the chiral supersolid (SS) charges and vortices are arranged in a checkerboard pattern on a 2 × 2 supercell anal...