Incommensurability in the Frustrated Two-Dimensional XY Model

Details Incommensurability in the Frustrated Two-Dimensional XY Model Incommensurability in the Frustrated Two-Dimensional XY Model

1997-10-07

arxiv.org/abs/cond-mat/9710060v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, RevTex

Scientific paper

To examine the properties of the frustrated XY model at an incommensurate field we have examined a sequence of magnetic filling factors f which approach the irrational value of one minus the golden mean. At all f studied, the system undergoes a finite-temperature weak first-order transition involving the freezing 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 to a striped phase consisting of a superlattice of parallel shift (Pott's-like) domain walls.

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