Year: 1998
Type: article
Abstract: We study the critical properties of the two-dimensional (2D) $\mathrm{XY}$ model in a transverse magnetic field with filling factors $f=1/3$ and $2/5.$ To obtain a comparison with recent experiments, we investigate the effect of weak 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 are those of the pure 2D Ising model. The relevant low-energy excitations are domain walls, and we show that their properties determine the nature of the phase transition.
Authors: Colin Denniston, Chao Tang
Institution: Princeton University
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2057260689