“…The abovementioned findings led to the exploration of surface curvature effects in various kinds of statistical lattice models [27,28,29,30,31,32,33,34,35,36,37,38,39,40,41]. For instance, the q-state Potts model on the negatively curved surface exhibited a first-order phase transition when q ≥ 3 [35], and the XY model on the same surface showed the absence of Kosterlitz-Thouless transition due to strong spin-wave fluctuation [31].…”