量子Newman-Moore模型中分形量子临界性的缺失
Absence of fractal quantum criticality in the quantum Newman-Moore model
摘要:
在二维自对偶量子Newman-Moore模型下,研究了具有Ⅱ型分形子激发的低场分形子相位与高场极化相位之间的量子相变.我们采用微扰和数值连锁集群膨胀计算基态能量每个网站的热力学极限揭示了在自对偶点的水平交叉。此外,高阶系列扩展的相关低能隙确定使用微扰连续酉变换表明没有间隙关闭。因此,我们的研究结果预测之间的低场分形子和高场极化相在自对偶点的一阶相变。
英文摘要:
The quantum phase transition between the low-field fracton phase with type-II fracton excitations and the high-field polarized phase is investigated in the two-dimensional self-dual quantum Newman-Moore model. We apply perturbative and numerical linked-cluster expansions to calculate the ground-state energy per site in the thermodynamic limit revealing a level crossing at the self-dual point. In addition, high-order series expansions of the relevant low-energy gaps are determined using perturbative continuous unitary transformations indicating no gap-closing. Our results therefore predict a first-order phase transition between the low-field fracton and the high-field polarized phase at the self-dual point.
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