Ground state magnetic response of two coupled dodecahedra

Abstract

The antiferromagnetic Heisenberg model on the dodecahedron possesses a number of ground state magnetization discontinuities in a field at the classical and quantum level, even though it lacks magnetic anisotropy. Here the model is considered for two dodecahedra coupled antiferromagnetically along one of their faces, as a first step to determine the magnetic response of collections of fullerene molecules. The magnetic response is determined from the competition among the intra-, interdodecahedra exchange and magnetic field energies. At the classical level the discontinuities of the isolated dodecahedron are renormalized by the interdodecahedral coupling, while new ones show up, with the maximum number of ground state discontinuities being six for a specific range of the coupling. In the full quantum limit where the individual spin magnitude s=1/2, there are two ground state discontinuities originating in the single discontinuity of the isolated dodecahedron, and another one due to the intermolecular coupling, generating a total of three discontinuities which come one right after the other. These results show that the magnetic response of more than one dodecahedra interacting together is quite richer than the one of a single dodecahedron.

11 pages, 10 figures

References in corpus (7)

• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
• Polyradical character and spin frustration in fullerene molecules: An ab initio non-collinear Hartree--Fock study
• Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising 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
• Estimates of Effective Hubbard Model Parameters for C20 isomers

Cited by in corpus (4)

• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Discontinuous quantum and classical magnetic response of the pentakis dodecahedron
• Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice