XY checkerboard antiferromagnet in external field

Abstract

Ordering by thermal fluctuations is studied for the classical XY antiferromagnet on a checkerboard lattice in zero and finite magnetic fields by means of analytical and Monte Carlo methods. The model exhibits a variety of novel broken symmetries including states with nematic ordering in zero field and with triatic order parameter at high fields.

6 pages

References in corpus (6)

• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Ising models of quantum frustration
• Er2Ti2O7: Evidence of Order by Disorder in a Frustrated Antiferromagnet
• Field induced transitions in a kagome antiferromagnet
• From the Square Lattice to the Checkerboard Lattice : Spin Wave and Large-n Analysis
• Phase transitions in the antiferromagnetic XY model with a kagome lattice

Cited by in corpus (13)

• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Triangular antiferromagnet with nonmagnetic impurities
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Magnetization Process of the Classical Heisenberg Model on the Shastry-Sutherland Lattice
• Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
• Field-Induced magnetic structures in Tb2Ti2O7 at low temperatures: From spin-ice to spin-flip structures
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Collective impurity effects in the Heisenberg triangular antiferromagnet
• Spin waves in the AF state of the $t$-$t^{\prime }$ Hubbard model on the fcc lattice: competing interactions, frustration, and instabilities
• Magnetic States, Correlation Effects and Metal-Insulator Transition in FCC Lattice
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Robust semiclassical magnetization plateau in the kagome lattice