Quasiperiodic Heisenberg antiferromagnets in two dimensions
arXiv:1109.4004 · doi:10.1140/epjb/e2012-21003-x
Abstract
This is a review of the properties of 2d quantum quasiperiodic antiferromagnets as reported in studies that have been carried out in the last decade. Many results have been obtained for perfectly ordered as well as for disordered two dimensional bipartite quasiperiodic tilings. The theoretical methods used include spin wave theory, and renormalization group along with Quantum Monte Carlo simulations. These methods all show that the ground state of these unfrustrated antiferromagnets have Néel type order but with a highly complex spatial distribution of local staggered magnetization. The ground state properties, excitation energies and spatial dependence, structure factor, and local susceptibilities are presented. The effects of introducing geometrical disorder on the magnetic properties are discussed.
21 pages, 29 figures
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Cited by in corpus (7)
- Hubbard Models for Quasicrystalline Potentials
- Classical Dimers on Penrose Tilings
- Mean-field study of the Bose-Hubbard model in Penrose lattice
- Spin waves in planar quasicrystal of Penrose tiling
- Hyperuniform electron distributions controlled by electron interactions in quasicrystal
- Doped Mott insulator on Penrose tiling
- Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice