Incommensurability in the frustrated two-dimensional XY model

To examine the properties of the frustrated XY model at an incommensurate f ield we have examined a sequence of magnetic filling factors f which approa ch the irrational value of one minus the golden mean. At all f studied, the system undergoes a finite-temperature ordering transition involving the fr eezing out of Ising-Like domain walls. As one approaches incommensurability , the low-temperature phase of the system changes from the staircase states found by Halsey [Phys. Rev. B 31, 5728 (1984); J. Phys. C 18, 2437 (1985)] to a striped phase consisting of a superlattice of parallel shift (Pott's- like) domain walls. Our results suggest that the glassy effects previously reported for this model are an artifact of the boundary conditions and dyna mics that were used. [S0163-1829(99)03426-8].