Dipolar ground state of planar spins on triangular lattices

Abstract

An infinite triangular lattice of classical dipolar spins is usually considered to have a ferromagnetic ground state. We examine the validity of this statement for finite lattices and in the limit of large lattices. We find that the ground state of rectangular arrays is strongly dependent on size and aspect ratio. Three results emerge that are significant for understanding the ground state properties: i) formation of domain walls is energetically favored for aspect ratios below a critical valu e; ii) the vortex state is always energetically favored in the thermodynamic limit of an infinite number of spins, but nevertheless such a configuration may not be observed even in very large lattices if the aspect ratio is large; iii) finite range approximations to actual dipole sums may not provide the correct ground sta te configuration because the ferromagnetic state is linearly unstable and the domain wall energy is negative for any finite range cutoff.

Several short parts have been rewritten. Accepted for publication as a Rapid Communication in Phys. Rev. B

References in corpus (2)

• Dipolar interaction between two-dimensional magnetic particles
• Two-dimensional array of magnetic particles: The role of an interaction cutoff

Cited by in corpus (18)

• Realization of Quantum Dipoles in Triangular Lattice Crystal Ba3Yb(BO3)3
• Classical dipoles on the kagome lattice
• Effect of long-and short-range interactions on the thermodynamics of dipolar spin ice
• Ice-rule made manifold: phase transitions, topological defects and manifold restoration in two-dimensional artificial spin systems
• Structure and thermodynamics of a ferrofluid bilayer
• Hysteresis in Two Dimensional Arrays of Magnetic Nanoparticles
• Continuous ground-state degeneracy of classical dipoles on regular lattices
• Vortex fluctuations and freezing of dipolar-coupled granular moments in thin ferromagnetic films
• Vortex ground state for small arrays of magnetic particles with dipole coupling
• Magnetic Relaxation in Two Dimensional Assembly of Dipolar Interacting Nanoparticles
• Self-organization of topological defects for a triangular-lattice magnetic dots array subject to a perpendicular magnetic field
• Dimensionality effects in dipolar fluids
• Single-domain versus two-domain configuration in thin ferromagnetic prisms
• Quasi-two-dimensional ferromagnetism in the triangular magnet EuAl${}_{12}$O${}_{19}$
• Anisotropic Effect of Dipolar Interaction in Ordered Ensembles of Nanoparticles
• Multiscale approach for modeling magnetization properties of inhomogeneous ultrathin magnetic layers
• Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality
• Field-induced magnetic order in DyTa${}_7$O${}_{19}$ with two-dimensional pseudospin-$\frac{1}{2}$ triangular lattice