Domain Walls and Phase Transitions in the Frustrated Two-Dimensional XY Model

Details Domain Walls and Phase Transitions in the Frustrated Two-Dimensional XY Model Domain Walls and Phase Transitions in the Frustrated Two-Dimensional XY Model

1996-12-14

arxiv.org/abs/cond-mat/9612140v3

Phys. Rev. Lett 79, p451 (1997)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 eps figures, REVTEX, revised version with new figures

Scientific paper

10.1103/PhysRevLett.79.451

We study and compare the critical properties of the two-dimensional (2D) XY model in a transverse magnetic field with magnetic filling factors f=1/3 and f=2/5. In addition to the spin waves, the low energy excitations of the system consist of various domain walls between degenerate ground states. The lowest energy domain wall has a similar structure for both f=1/3 and f=2/5 and its properties dictate the nature of the phase transition. For f=2/5 these lowest energy walls have a negative energy for binding to each other, giving rise to a branching domain-wall structure and leading to a first order phase transition. For f=1/3 this binding energy is positive, resulting in a linear critical interface. In order to make a comparison to recent experiments, we investigate the effect of small quenched bond disorder for f=2/5. A finite-size scaling analysis of extensive Monte Carlo simulations strongly suggests that the critical exponents of the phase transition for f=1/3, and for f=2/5 with disorder, fall into the universality class of the two-dimensional Ising model.

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