论文标题
通过C功能检测拓扑量子相变
Detecting Topological Quantum Phase Transitions via the c-Function
论文作者
论文摘要
我们将C功能作为一种新的准确探测器，以检测拓扑量子临界点的位置。作为直接应用，我们考虑了一种全息模型，该模型在拓扑琐碎的绝缘阶段和无间隙的Weyl半学之间表现出拓扑量子相变。量子临界点在空间方向上显示出强烈的LIFSHITZ样式各向异性，并且量子相变不遵循标准的Landau范式。 c功能鲁棒地显示了量子临界时的全局特征，并以极好的精度区分了两个单独的零温度阶段。考虑到C功能与纠缠熵的关系，我们猜想我们的建议是量子相变的一般特征，并且适用于全息框架。
We propose the c-function as a new and accurate probe to detect the location of topological quantum critical points. As a direct application, we consider a holographic model which exhibits a topological quantum phase transition between a topologically trivial insulating phase and a gapless Weyl semimetal. The quantum critical point displays a strong Lifshitz-like anisotropy in the spatial directions and the quantum phase transition does not follow the standard Landau paradigm. The c-function robustly shows a global feature at the quantum criticality and distinguishes with great accuracy the two separate zero temperature phases. Taking into account the relation of the c-function with the entanglement entropy, we conjecture that our proposal is a general feature of quantum phase transitions and that is applicable beyond the holographic framework.
