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arXiv · 1409.1618

Classical Heisenberg and planar spin models on the windmill lattice

Bhilahari Jeevanesan·Peter P. Orth
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Abstract

We investigate the classical Heisenberg and planar (XY) 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 non-coplanar 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.

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Bhilahari Jeevanesan, Peter P. Orth. 2014-09-04. Classical Heisenberg and planar spin models on the windmill lattice. https://doi.org/10.1103/physrevb.90.144435

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