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Spin gap of the three-leg S= 3/2 Heisenberg tube

机译:三腿S = 3/2海森堡管的自旋间隙

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The ground-state properties of the three-leg S = 3/2 straight Heisenberg tube are studied using the density-matrix renormalization group method. We find that the spin-excitation gap associated with a spontaneous dimerization opens for the whole coupling regime, as seen in the three-leg S = straight Heisenberg tube. However, in contrast to the case of the S = 1/2 straight tube, the gap increases very slowly with increasing the rung coupling, and its size is only a few percent or less of the leg exchange interaction in the weak- and intermediate-coupling regimes. We thus argue that, unless the rung coupling is substantially larger than the leg coupling, the gap may be quite hard to be observed experimentally. We also calculate the quantized Berry phase to show that there exist three kinds of valence-bond-solid states depending on the ratio of leg and rung couplings.
机译:使用密度矩阵重归一化群方法研究了三腿S = 3/2直海森堡管的基态特性。我们发现,与自发二聚化相关的自旋激发缺口在整个偶联体系中打开,如在三腿S =直的海森堡管中所见。但是,与S = 1/2直管的情况相反,间隙随着梯级耦合的增加而非常缓慢地增加,并且其大小仅是弱腿和中腿的腿交换相互作用的百分之几或更少。耦合机制。因此,我们认为,除非梯级联轴器比腿联轴器大得多,否则该间隙可能很难通过实验观察到。我们还计算了量化的Berry相,以表明根据腿与横档耦合的比率,存在三种价键-固相态。

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