Origin of the classical magnetization discontinuities of the dodecahedron

Abstract

The classical antiferromagnetic Heisenberg model on the dodecahedron has been shown to have three magnetization discontinuities in an external field. Here it is shown that the highest-field discontinuity can be directly traced back to the strong magnetization jump leading to saturation at the Ising limit, which originates from the magnetic response of an isolated pentagon and the frustrated connectivity of the dodecahedron. This discontinuity survives up to the $XY$ limit and disappears shortly before the ferromagnetic Ising interaction fully polarizes the spins. The two lower-field jumps of the model result from the competition of discontinuities that emerge from the magnetization plateau surviving away from the Ising limit.

9 pages, 16 figures

References in corpus (11)

• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
• Enhanced magnetocaloric effect in a proximity of magnetization steps and jumps of spin-1/2 XXZ Heisenberg regular polyhedra
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Antiferromagnetic Heisenberg Model on the Icosahedron: Influence of Connectivity and the Transition from the Classical to the Quantum Limit
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Exact eigenstates of highly frustrated spin lattices probed in high fields
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Discontinuous quantum and classical magnetic response of the pentakis dodecahedron
• $\mathbf{\Delta }$S${}^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C${}_{60}$: Origin and the role of symmetry
• Classical magnetization of a four-dimensional Platonic solid