Classical ground states of Heisenberg and XY antiferromagnets on the windmill lattice

Bhilahari Jeevanesan, Peter P. Orth

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We investigate the classical Heisenberg and planar (XY) spin models on the windmill lattice. The windmill lattice is formed out of two widely occurring lattice geometries: a triangular lattice is coupled to its dual honeycomb lattice. Using a combination of iterative minimization, heat-bath Monte Carlo simulations, and analytical calculations, we determine the complete ground-state phase diagram of both models and find the exact energies of the phases. The phase diagram shows a rich phenomenology due to competing interactions and hosts, in addition to collinear and various coplanar phases, also intricate noncoplanar phases. We briefly outline different paths to an experimental realization of these spin models. Our extensive study provides a starting point for the investigation of quantum and thermal fluctuation effects.

Original languageEnglish (US)
Article number144435
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
StatePublished - Oct 31 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014 American Physical Society.


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