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We consider the effect of positional disorder on a Josephson junction arraywith an applied magnetic field of f=1/2 flux quantum per unit cell. This isequivalent to the problem of random Gaussian phase shifts in the fullyfrustrated 2D XY model. Using simple analytical arguments and numericalsimulations, we present evidence that the ground state vortex lattice of thepure model becomes disordered, in the thermodynamic limit, by any amount ofpositional disorder.Comment: 4 pages, 4 eps figures embedde

physical review letters

Positional Disorder in the Fully Frustrated Josephson Junction Array: Random Gaussian Phase Shifts in the Fully Frustrated 2D<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">XY</mml:mi></mml:math>Model

Positional Disorder in the Fully Frustrated Josephson Junction Array: Random Gaussian Phase Shifts in the Fully Frustrated 2DXYModel