# Phases of Josephson junction ladders.

@article{Denniston1995PhasesOJ, title={Phases of Josephson junction ladders.}, author={Denniston and Tang}, journal={Physical review letters}, year={1995}, volume={75 21}, pages={ 3930-3933 } }

We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the ladder. The spatial periodicity of the ground state exhibits a devil’s staircase as a function of the magnetic flux filling factor f. If the transverse Josephson coupling is varied a continuous superconducting-normal transition in the transverse direction is…

## 20 Citations

Vortex interaction in Josephson-junction ladders☆

- Physics
- 1997

Abstract We calculate the vortex interaction in Josephson-junction ladders with an external transverse magnetic field. Using the dual transformation we transform the phase model of the…

Dynamics of one-dimensional Josephson-junction arrays

- Physics
- 1998

Abstract We study the dynamics of one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires. These arrays are model systems for the discrete, damped sine-Gordon…

Ground states of a Bose–Hubbard ladder in an artificial magnetic field: field-theoretical approach

- Physics
- 2014

We consider a Bose–Hubbard ladder subject to an artificial magnetic flux and discuss its different ground states, their physical properties, and the quantum phase transitions between them. A…

Critical fields and devil's staircase in superconducting ladders

- Physics
- 1999

Abstract We have used an intuitively simple method to determine the interaction between vortices and ground state for both a ladder array of Josephson junctions and a ladder of thin superconducting…

Dynamics Of Kinks And Vortices In Josephson-Junction Arrays

- Physics
- 1999

We present an experimental as well as theoretical study of kink motion in one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires. The boundaries are closed to…

Superconducting states and depinning transitions of Josephson ladders

- Physics
- 1998

We present analytical and numerical studies of pinned superconducting states of open-ended Josephson ladder arrays, neglecting inductances but taking edge effects into account. Treating the edge…

Nonlinear dynamics of two-dimensional Josephson junction arrays

- Physics
- 1996

Arrays of superconducting Josephson junctions can be modelled as systems of coupled nonlinear oscillators. We present analytical and numerical studies of the spatiotemporal behavior of…

Universal Hall Response in Interacting Quantum Systems.

- Medicine, PhysicsPhysical review letters
- 2019

Focusing on SU(M) symmetric interacting bosons and fermions, this work identifies an extensive regime in which the Hall imbalance Δ_{H} is universal and corresponds to a classical Hall resistivity R{H}=-1/n for a large class of quantum phases.

REVIEW ARTICLE: Static properties of classical Josephson junction arrays: models and experimental achievements

- Physics
- 1999

This review deals with the static properties of classical Josephson arrays. We first comment on the model describing the system, both in the phase representation - the frustrated XY model - and in…

Quantum phases of strongly interacting bosons on a two-leg Haldane ladder

- Physics
- 2018

We study the ground-state physics of a single-component Haldane model on a hexagonal two-leg ladder geometry with a particular focus on strongly interacting bosonic particles. We concentrate our…

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