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The unbinding of kink pairs on domain walls in the fully frustrated XY model(on square or triangular lattices) is shown to induce the vanishing of phasecoupling across the walls. This forces the phase transition, associated withunbinding of vortex pairs to take place at a lower temperature than the otherphase transition, associated with proliferation of the Ising-type domain walls.The results are applicable for a description of superconducting junction arraysand wire networks in perpendicular magnetic field (corresponding tohalf-integer number of flux quanta per each lattice plaquette), as well as ofplanar antiferromagnets with a triangular lattice.Comment: 4 pages, ReVTeX, the final versio

physical review letters

Kink Pairs Unbinding on Domain Walls and the Sequence of Phase Transitions in Fully Frustrated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">XY</mml:mi></mml:math>Models

Kink Pairs Unbinding on Domain Walls and the Sequence of Phase Transitions in Fully FrustratedXYModels