# Quantum phase transitions and commensurability in frustrated Josephson junction arrays

@article{Bruder1992QuantumPT, title={Quantum phase transitions and commensurability in frustrated Josephson junction arrays}, author={Christoph Bruder and Rosario Fazio and Arno P. Kampf and Anne van Otterlo and Gerd Sch{\"o}n}, journal={Physica Scripta}, year={1992}, volume={42}, pages={159-170} }

The superconductor-insulator transition of an array of Josephson junctions is studied. In junctions with small capacitance the interaction of charges introduces quantum fluctuations and shifts the phase transition. An external voltage controls the total charge and creates "charge frustration". Commensurability effects lead to similar structure in the phase diagram as had been found for magnetic frustration. The model used to describe a nonclassical junction array is similar to a Bose-Hubbard…

## 29 Citations

Mean-field theories for the quantum phase transition in Josephson junction arrays

- Physics
- 1993

We compare two different approaches which both attempt to describe the zero-temperature superconductor-insulator transition in Josephson junction arrays through an effective Ginzburg-Landau…

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Effect of External Charges on the Quantum Superconductor-Insulator Transition in a Josephson-Junction Array

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- 1995

We study the influence of a uniform background of external charges on the dynamics of a vortex moving in a quantum (zero temperature) Josephson-junction array, in the limit in which the capacitance…

Critical properties of the quantum rotor model with phase frustration at incommensurate filling in two dimensions

- Physics
- 2016

The critical properties of the zero-temperature superfluid-insulator transition in the fullyfrustrated quantum rotor model at incommensurate filling in two dimensions are studied. We develop a…

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- 1997

Quantum fluctuations of the phases of the order parameter in two-dimensional arrays of mesoscopic Josephson junctions and their effect on the destruction of superconductivity in the system are…

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- 2004

We consider a system where localized bound electron pairs form an array of ``Andreev''-like scattering centers coupled to a fermionic subsystem of uncorrelated electrons. By means of a path-integral…

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- 1998

The phase diagram of a two-dimensional Josephson array of mesoscopic objects (superconducting granules, superfluid helium in a porous medium, traps with Bose-condensed atoms, etc.) is examined.…

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- 1998

The boson lattice Hubbard model is used to study the role of quantum fluctuations of the phase and local density of the superfluid component in establishing a global superconducting state for a…

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- 1995

Some of the recent progress in the theory of quantum phase transitions in interacting bosonic systems is overviewed. A scaling theory of the transitions is outlined. Analytic and numerical results…

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