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arXiv:1807.01029 · Physical review. B./Physical review. B

Metamagnetic jump in the spin- 12 antiferromagnetic Heisenberg model on the square kagome lattice

Yasumasa Hasegawa, Hiroki Nakano, Tôru Sakai

Published Jul 3, 2018• 24 citations
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Abstract

The magnetization process of the spin-$1/2$ antiferromagnetic Heisenberg model on two-dimensional square-kagome lattice is studied theoretically. The metamagnetic jumps exist in the magnetization process at the higher edge of the $1/3$ and $2/3$ plateaus. The parameter-dependencies of the critical field and the magnitude of the magnetization jump at the higher edge of the $1/3$ plateau are obtained by using the approximated state in the unit cell and compared with the numerical results of the exact diagonalization of 42 sites.

DOI
10.1103/physrevb.98.014404

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We study the S=1/2 Heisenberg antiferromagnet on the Cairo pentagon lattice by the numerical-diagonalization method. We tune the ratio of two antiferromagnetic interactions coming from two kinds of inequivalent sites in this lattice, examining the magnetization process of the antiferromagnet; particular attention is given to one-third of the height of the saturation. We find that quantum phase transition occurs at a specific ratio and that a magnetization plateau appears in the vicinity of the transition. The plateau is accompanied by a magnetization jump on one side among the edges due to the spin-flop phenomenon. Which side the jump appears depends on the ratio.
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