论文标题

$ S $ = 1/2的Shastry-Sutherland模型中有限温度镜像对称性的签名

Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model

论文作者

Shimokawa, Tokuro

论文摘要

我们使用量子典型方法研究了$ s $ = 1/2的Shastry-Sutherland Heisenberg模型的有限温度特性。在中间plaquette状态区域中,我们自然希望实现与破坏该模型的镜像对称性相关的有限温度相变。我们揭示了在中等温度下在两点相关水平内自发相变的一些特征,因为构造的典型状态可以感觉到根据初始随机状态的变性激发态的存在。我们还确认,局部镜像顺序参数显示了非常低温的镜像对称性的有趣现象,这可以从有限大小系统的地面和激发态的性质中理解。我们希望这种恢复功能消失;取而代之的是,在热力学极限中的局部镜像参数中出现了饱和行为。我们在高压下讨论了$ {\ rm srcu_2(bo_3)_2} $的最新实验结果的关系。

We investigate the finite-temperature properties of the $S$=1/2 Shastry-Sutherland Heisenberg model using a quantum typicality method. In the intermediate plaquette state region, we naturally expect to realize the finite-temperature phase transition associated with breaking the mirror symmetry of this model. We reveal some signatures of the spontaneous phase transition within a two-point correlation level at moderate temperatures since the constructed typical state can sense the existence of the degenerated excited states depending on the initial random state. We also confirm that the local mirror order parameter shows the intriguing recovering phenomenon of the mirror symmetry in very low-temperatures, which could be understood from the nature of the ground and excited states of the finite-size systems. We expect that this recovering feature disappears; instead, a saturated behavior appears in the local mirror order parameter in the thermodynamic limit. We discuss the relationship to the recent experimental results on ${\rm SrCu_2(BO_3)_2}$ under high pressures.

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