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Positional Disorder in the Fully Frustrated Josephson Junction Array: Random Gaussian Phase Shifts in the Fully Frustrated 2D XY Model

Pramod Gupta, S. Teitel

DOI 10.1103/PhysRevLett.82.5313 · Physical Review Letters

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Abstract

We consider the effect of positional disorder on a Josephson junction array with an applied magnetic field of f=1/2 flux quantum per unit cell. This is equivalent to the problem of random Gaussian phase shifts in the fully frustrated 2D XY model. Using simple analytical arguments and numerical simulations, we present evidence that the ground state vortex lattice of the pure model becomes disordered, in the thermodynamic limit, by any finite amount of positional disorder.

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