论文标题
边界电荷波动的通用性
Universality of Boundary Charge Fluctuations
论文作者
论文摘要
我们建立了在绝缘子边界上累积的电荷$ q_b $的量子波动，作为一种积分工具，以表征相变的整体工具，在该工具中，直接间隙关闭（并重新打开）通常是针对具有拓扑特性的绝缘体发生的。这种特征的力量在于它有能力在平等基础上处理不同种类的绝缘子。适用于拓扑结构和非血统带，安德森和莫特绝缘子之间的过渡。在相过渡的附近，我们找到一个通用缩放$Δq_b^2（e_g）$作为差距大小$ e_g $的函数，并在各个维度中确定其通用形式。对于具有巨大的狄拉克样散装频谱的典型相变，我们在一个维度上表现出具有逆距离的缩放尺度，而对数二维的对数一个。
We establish the quantum fluctuations $ΔQ_B^2$ of the charge $Q_B$ accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for insulators with topological properties. The power of this characterization lies in its capability to treat different kinds of insulators on equal footing; being applicable to transitions between topological and non-topological band, Anderson, and Mott insulators alike. In the vicinity of the phase transition we find a universal scaling $ΔQ_B^2(E_g)$ as function of the gap size $E_g$ and determine its generic form in various dimensions. For prototypical phase transitions with a massive Dirac-like bulk spectrum we demonstrate a scaling with the inverse gap in one dimension and a logarithmic one in two dimensions.
