The fully frustrated XY model with next nearest neighbor interaction

Details The fully frustrated XY model with next nearest neighbor interaction The fully frustrated XY model with next nearest neighbor interaction

2000-04-28

arxiv.org/abs/cond-mat/0004495v1

Physical Review B 62, R9287 (2000)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures

Scientific paper

10.1103/PhysRevB.62.R9287

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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