Dipolar ground state of planar spins on triangular lattices

Details Dipolar ground state of planar spins on triangular lattices Dipolar ground state of planar spins on triangular lattices

2005-10-20

arxiv.org/abs/cond-mat/0510534v2

Phys. Rev. B 73, 020405(R) (2006)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevB.73.020405

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.

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