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# Charge Frustration Effects in Capacitively Coupled Two-Dimensional Josephson-Junction Arrays

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### Abstract

We investigate the quantum phase transitions in two capacitively coupled two-dimensional Josephson-junction arrays with charge frustration. The system is mapped onto the S=1 and $$S=1/2$$ anisotropic Heisenberg antiferromagnets near the particle-hole symmetry line and near the maximal-frustration line, respectively, which are in turn argued to be effectively described by a single quantum phase model. Based on the resulting model, it is suggested that near the maximal frustration line the system may undergo a quantum phase transition from the charge-density wave to the super-solid phase, which displays both diagonal and off- diagonal long-range order.

### Most cited references14

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### Vortices in high-temperature superconductors

(1994)
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### Interacting Electrons and Quantum Magnetism

(1994)
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### Quantum-Phase Transitions of Interacting Bosons and the Supersolid Phase

(1995)
We investigate the properties of strongly interacting bosons in two dimensions at zero temperature using mean-field theory, a variational Ansatz for the ground state wave function, and Monte Carlo methods. With on-site and short-range interactions a rich phase diagram is obtained. Apart from the homogeneous superfluid and Mott-insulating phases, inhomogeneous charge-density wave phases appear, that are stabilized by the finite-range interaction. Furthermore, our analysis demonstrates the existence of a supersolid phase, in which both long-range order (related to the charge-density wave) and off-diagonal long-range order coexist. We also obtain the critical exponents for the various phase transitions.
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### Author and article information

###### Journal
29 July 1999
cond-mat/9907454
10.1103/PhysRevB.60.10455