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.
Highlights
IntroductionOne example is a magnetization plateau observed in the magnetization process
Frustration is a source of various exotic phenomena in magnetic materials
We have studied the Heisenberg antiferromagnet of S = 1/2 spins on the floret pentagonal lattice in two dimensions
Summary
One example is a magnetization plateau observed in the magnetization process Such frustration in magnetic materials occurs when the systems have a structure including an oddnumber polygon formed by antiferromagnetic-interaction bonds. Among such systems, the triangular-lattice system is extensively studied[1] as the most typical case. The orthogonal dimer system[3, 4, 5] includes local triangles and squares In such cases including the local triangular structure, frustration created by the structure plays essential roles in the behaviour of total magnetic systems. Among such local structure of an odd-number polygon, the pentagonal structure is the candidate. We will summarize our results and give some remarks in the final section
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