Dimensional reduction in quantum spin-12 system on a 17-depleted triangular lattice

We study the magnetism of a quantum spin-1/2 antiferromagnet on a maple-leaf\nlattice which is obtained by regularly depleting 1/7 of the sites of a\ntriangular lattice. Although the interactions are set to be spatially uniform,\nthe ground state shows a stripe Neel order and the temperature dependence of\nmagnetic susceptibility follows that of the one-dimensional XXZ model with a\nfinite spin gap. We examine the nature of frustration by mapping the low energy\ndegenerate manifold of states to the fully packed loop-string model on a dual\ncluster-depleted honeycomb lattice, finding that the order-by-disorder due to\nquantum fluctuation characteristic of highly frustrated magnets is responsible\nfor the emergent stripes. The excited magnons split into two spinons and\npropagate in the one-dimensional direction along the stripe which is\nreminiscent of the XXZ or Ising model in one dimension. Unlike most of the\npreviously studied dimensional reduction effects, our case is purely\nspontaneous as the interactions of the Hamiltonian retains a spatially\nisotropic two-dimensional structure.\n