论文标题
曲率函数重量级化，拓扑相变和多政治性
Curvature function renormalisation, topological phase transitions and multicriticality
论文作者
论文摘要
拓扑相变的最近提出的曲率重新归一化组方案将其定义为理论参数的函数，并表明，拓扑相变的函数是由该函数在某些参数值下的差异信号的，称为临界点，以临界点为临界点，与通常的相位过渡相似。还引入了重新归一化的组程序，是一种从临界点流向固定点的方式，在该方法中，适当定义的相关函数为零，并且表征相位的拓扑量子数易于计算。在本文中，使用两个独立模型（AIII对称类别中的一个模型和BDI对称类别中的模型）在一个维度中作为示例，我们表明，在某些情况下，固定点曲线和临界点曲线似乎相交，结果证明是多临界点，并专注于理解其含义。
A recently proposed curvature renormalization group scheme for topological phase transitions defines a generic `curvature function' as a function of the parameters of the theory and shows that topological phase transitions are signalled by the divergence of this function at certain parameters values, called critical points, in analogy with usual phase transitions. A renormalization group procedure was also introduced as a way of flowing away from the critical point towards a fixed point, where an appropriately defined correlation function goes to zero and topological quantum numbers characterising the phase are easy to compute. In this paper, using two independent models - a model in the AIII symmetry class and a model in the BDI symmetry class - in one dimension as examples, we show that there are cases where the fixed point curve and the critical point curve appear to intersect, which turn out to be multi-critical points, and focus on understanding its implications.
