The fully frustrated XY model with next nearest neighbor interaction

G. Franzese; V. Cataudella; S. E. Korshunov; R. Fazio

doi:10.1103/physrevb.62.r9287

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The fully frustrated XY model with next nearest neighbor interaction

G. Franzese·V. Cataudella·S. E. Korshunov·R. Fazio

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Abstract

We introduce a fully frustrated XY model with nearest neighbor (nn) and next nearest neighbor (nnn) couplings which can be realized in Josephson junction arrays. We study the phase diagram for $0\leq x \leq 1$ ($x$ is the ratio between nnn and nn couplings). When $x < 1/\sqrt{2}$ an Ising and a Berezinskii-Kosterlitz-Thouless transitions are present. Both critical temperatures decrease with increasing $x$. For $x > 1/\sqrt{2}$ the array undergoes a sequence of two transitions. On raising the temperature first the two sublattices decouple from each other and then, at higher temperatures, each sublattice becomes disorderd.

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G. Franzese, V. Cataudella, S. E. Korshunov, R. Fazio. 2000-04-28. The fully frustrated XY model with next nearest neighbor interaction. https://doi.org/10.1103/physrevb.62.r9287

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