The antiferromagnetic Ising model on the swedenborgite lattice

Abstract

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of Kagomé and triangular layers. The model contains two exchange couplings, one within the Kagomé layer, another one in between Kagomé and triangular layers. We determine the phase diagram with and without easy axis magnetic field and calculate the ground state degeneracy explicitly in terms of the residual entropy. At zero field we find two different ground state manifolds separated by a first order transition at T = 0 and equal exchange couplings. We also determine the T = 0 phase diagram in a magnetic field and find a rich phase diagram with both degenerate and non-degenerate phases depending on the field strength and out-of-plane coupling.

7 pages, 8 figures

References in corpus (8)

• Feedback-optimized parallel tempering Monte Carlo
• Competing magnetic interactions in the extended Kagome system YBaCo4O7
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Magnetization process of spin ice in a [111] magnetic field
• Magnetic Structure of YBaCo4O7 with Kagome- and Triangular-Lattices
• Remnant magnetization above room temperature in semiconducting Y_0.5Ca_0.5BaCo_4O_7
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Spin-liquid phase and order-by-disorder of classical Heisenberg spins on the swedenborgite lattice

Cited by in corpus (3)

• Peculiarities in pseudo-transitions of a mixed spin-$(1/2,1)$ Ising-Heisenberg double-tetrahedral chain in an external magnetic field
• Finite size effects around pseudo-transition in one-dimensional models with nearest neighbor interaction
• Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids