Simplex crystal ground state and magnetization plateaus in the spin-$\frac{1}{2}$ Heisenberg model on the ruby lattice
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Directly studies frustrated Heisenberg magnetism on the ruby lattice, including competing valence-bond order, spin-chirality effects, and magnetization-plateau physics.
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Author(s): Pratyay Ghosh and Frédéric Mila The authors demonstrate here that the antiferromagnetic spin-½ Heisenberg model on the ruby lattice with second-neighbor interactions realizes a simplex valence-bond crystal state. Although singlet formation on the hexagonal plaquettes of the lattice appears to be a natural choice, the system instead selects simplices composed of two neighboring triangles. An effective spin-chirality description reveals how the interplay of spin and chiral degrees of freedom associated with individual triangles stabilizes simplex-based crystal order. [Phys. Rev. B 114, 074435] Published Wed Aug 26, 2026