Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

Abstract

We study the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The ground-state energy without magnetic field and the magnetization process of this system are reported. Magnetization plateaux appear at one-ninth height of the saturation magnetization, at one-third height, and at seven-ninth height. The magnetization plateaux at one-third and seven-ninth heights come from interactions linking the sixfold-coordinated spin sites. A magnetization jump appears from the plateau at one-ninth height to the plateau at one-third height. Another magnetization jump is observed between the heights corresponding to the one-third and seven-ninth plateaux; however the jump is away from the two plateaux, namely, the jump is not accompanied with any magnetization plateaux. The jump is a peculiar phenomenon that has not been reported.

15 pages, 8 figures, to be published in J. Phys. Communications

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Cited by in corpus (4)

• Magnetic properties of a spin-1/2 octagonal lattice
• $\mathbf{\Delta }$S${}^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C${}_{60}$: Origin and the role of symmetry
• Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice
• Origin of the classical magnetization discontinuities of the dodecahedron