Spin ice on the trillium lattice studied by Monte Carlo calculations
arXiv:0912.3795 · doi:10.1103/PhysRevB.82.014410
Abstract
We study a local ferromagnetic Ising model for classical spins on the trillium lattice. The ground state of this model features two spins out(/in) and one spin in(/out) on each triangle, and leads to a macroscopic ground state degeneracy. Our Monte Carlo simulations find a ground state entropy intermediate to that of spin ice on the kagome and pyrochlore lattices, suggesting that trillium spin ice is highly frustrated. To motivate the search for trillium spin ice, we calculate the magnetic susceptibility and structure factor. We note the qualitative resemblance of the susceptibility to previously published work on EuPtSi, which features local moments on the trillium lattice.
8 pages, 6 figures
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Cited by in corpus (8)
- Unique Helical Magnetic Order and Field-Induced Phase in Trillium Lattice Antiferromagnet EuPtSi
- Geometric frustration on the trillium lattice in a magnetic metal-organic framework
- Curie-law crossover in spin liquids
- Single helicity of the triple- triangular skyrmion lattice state in cubic chiral helimagnet EuPtSi
- Magnetism and spin dynamics of an S=3/2 frustrated trillium lattice antiferromagnet K2CrTi(PO4)3
- Physical properties of CeIrSi with trillium-lattice frustrated magnetism
- Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
- Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives