# Decoupling in the one-dimensional frustrated quantum XY model and Josephson-junction ladders: Ising critical behavior.

@article{Granato1993DecouplingIT, title={Decoupling in the one-dimensional frustrated quantum XY model and Josephson-junction ladders: Ising critical behavior.}, author={Granato}, journal={Physical review. B, Condensed matter}, year={1993}, volume={48 10}, pages={ 7727-7730 } }

A generalization of the one-dimensional frustrated quantum $\mathrm{XY}$ model is considered in which the interchain and intrachain coupling constants of the two infinite $\mathrm{XY}$ (planar rotor) chains have different strengths. The model can describe the superconductor to insulator transition due to charging effects in a ladder of Josephson junctions in a magnetic field with half a flux quantum per plaquette. From a fluctuation-effective action, this transition is expected to be in the…

## 10 Citations

Phase transitions in the one‐dimensional frustrated quantum XY model and Josephson‐junction ladders

- Physics
- 1994

A one‐dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson junctions at half a flux quantum per plaquette.…

Quantum Critical Phenomena in Ladders of Josephson Junctions in a Magnetic Field

- Physics
- 1995

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations…

Multicritical behaviour in the fully frustrated XY model and related systems

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- 2005

We study the phase diagram and critical behaviour of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the…

Chiral Mott insulator with staggered loop currents in the fully frustrated Bose-Hubbard model

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- 2013

Motivated by experiments on Josephson junction arrays in a magnetic field and ultracold interacting atoms in an optical lattice in the presence of a ``synthetic'' orbital magnetic field, we study the…

Bose-Hubbard model in a strong effective magnetic field: Emergence of a chiral Mott insulator ground state

- Physics
- 2012

Motivated by experiments on Josephson junction arrays, and cold atoms in an optical lattice in a synthetic magnetic field, we study the ``fully frustrated'' Bose-Hubbard model with half a magnetic…

Field-induced superconductor to insulator transition and phase diagram of josephson-junction ladders

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- 2006

Capacitively coupled Josephson-junction chains: straight versus slanted coupling

- Physics
- 2000

We investigate analytically the quantum phase transition in a system of two chains of ultrasmall Josephson junctions, coupled capacitively with each other. Two different schemes of the coupling,…

Vortex motion and dynamical states in Josephson arrays

- Physics
- 2000

Underdamped Josephson junction arrays are used as model systems to study novel nonlinear effects to probe different nonlinear behavior such as intrinsic localized modes, resonances in fully frustrated arrays, Meissner-like states, and vortex ratchets.

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