论文标题

在$ \ rm {su}(3)附近缺乏关键的nematic阶段

Absence of a critical nematic phase in the vicinity of the $\rm {SU}(3)$ ferromagnetic point for the one-dimensional spin-1 bilinear-biquadratic model

论文作者

Dai, Yan-Wei, Shi, Qian-Qian, Zhou, Huan-Qiang, McCulloch, Ian P.

论文摘要

通过张量网络算法的用途证明了$ \ rm {su}(3)附近的关键列表(3)$铁磁点$铁磁点。事实证明,在$ \ rm {su}(3)$ ferromagnetic点上从铁磁相到二聚相的相变是直接的,但不是一阶。 The transition point features highly degenerate ground states, which are scale but not conformally invariant, with the fractal dimension being equal to 2. The conceptual developments in effective field theories - the fractal dimension and the counting rule of the Goldstone modes - play a pivotal role in clarifying the numerical artifacts arising from the finiteness of the bond dimension in the tensor network simulations, which are attributed to a proximity effect to高度纠缠的量表或形式不变的基态。

The absence of a critical nematic phase in the vicinity of the $\rm {SU}(3)$ ferromagnetic point for the one-dimensional spin-1 bilinear-biquadratic model is demonstrated by means of the tensor network algorithms. As it turns out, the phase transition from the ferromagnetic phase to the dimerized phase at the $\rm {SU}(3)$ ferromagnetic point is direct, but not of the first-order. The transition point features highly degenerate ground states, which are scale but not conformally invariant, with the fractal dimension being equal to 2. The conceptual developments in effective field theories - the fractal dimension and the counting rule of the Goldstone modes - play a pivotal role in clarifying the numerical artifacts arising from the finiteness of the bond dimension in the tensor network simulations, which are attributed to a proximity effect to a highly entangled scale or conformally invariant ground state.

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