一维四极系统中Berry相诱导的二聚化
Berry phase induced dimerization in one-dimensional quadrupolar systems
摘要：
我们调查的Berry相位上的四极，例如发生在低能量描述的自旋模型的效果。具体来说，我们在这里研究的一维双线性双二次自旋一模型。关于这个模型多年来的一个悬而未决的问题是，它是否有一个非二聚波动的双相。最近有人提出二聚化与量子涨落的Berry相有关。我们使用一个有效的低能量的描述来计算的标度的二聚化根据这个理论，然后验证的预测使用大规模密度矩阵重整化群（DMRG）模拟，给出了很好的证据，该状态是二聚化的所有的方式，其过渡到铁磁相。我们进一步讨论了在基态波函数的纠缠谱中发现的多重态结构。
英文摘要：
We investigate the effect of the Berry phase on quadrupoles that occur for example in the low-energy description of spin models. Specifically we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many years about this model is whether it has a non-dimerized fluctuating nematic phase. The dimerization has recently been proposed to be related to Berry phases of the quantum fluctuations. We use an effective low-energy description to calculate the scaling of the dimerization according to this theory, and then verify the predictions using large scale density-matrix renormalization group (DMRG) simulations, giving good evidence that the state is dimerized all the way up to its transition into the ferromagnetic phase. We furthermore discuss the multiplet structure found in the entanglement spectrum of the ground state wave functions.
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