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Numerical study of magnetization plateaus in the spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>kagome Heisenberg antiferromagnet
We clarify the existence of several magnetization plateaus for the kagome $S=\frac{1}{2}$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner the plateau states that occur for magnetization per site $m=\frac{1}{3}$, $\frac{5}{9}$, and $\frac{7}{9}$ of the …