# Phase transitions in Josephson-junction ladders in a magnetic field.

@article{Granato1990PhaseTI, title={Phase transitions in Josephson-junction ladders in a magnetic field.}, author={Granato}, journal={Physical review. B, Condensed matter}, year={1990}, volume={42 7}, pages={ 4797-4799 } }

A model of a Josephson-junction ladder in a perpendicular magnetic field with {ital f}{sub 0}={ital p}/{ital q} flux quanta per plaquette is considered. It is shown that the topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations {ital f}{minus}{ital f}{sub 0} from commensurability of the vortex lattice, are strongly dependent on {ital q}. In addition to a superconductor-insulator transition, a commensurate-incommensurate transition is…

## 23 Citations

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…

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

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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.…

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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…

A conformal field theory description of magnetic flux fractionalization in
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Abstract.We show how the recently proposed effective theory for a Quantum Hall system
at “paired states” filling ν=1 [1,2], the twisted model (TM), well adapts to describe the
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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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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,…

Universal Hall Response in Interacting Quantum Systems.

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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.

Meissner to vortex phase transition in a two-leg ladder in artificial gauge field

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We consider a two-leg boson ladder in artificial gauge field with hard-core intraleg and negligible interleg interactions. Using numerical simulations based on the Density Matrix Renormalization…