标题： 相互作用Chern绝缘体转变在球面上：揭示Gross-Neveu-Yukawa临界性 显示英文标题

标题： Interacting Chern insulator transition on the sphere: revealing the Gross-Neveu-Yukawa criticality

摘要： 在二维空间中，拓扑绝缘体与平凡 Chern 绝缘体之间的转变体现了超出朗道范畴的临界现象的一个类别。我们表明，这一转变的相互作用驱动多临界点属于格罗斯-内韦尤-玉川（GNY）普适类，这是高能物理和凝聚态物理学中一个非常值得关注的主题。在这项工作中，我们专注于 GNY 临界性的$N=2$情况。我们采用球面上狄拉克费米子的精确对角化来规避手征 anomaly，利用完整的 SO(3) 对称性来减小有限尺寸效应，并直接从激发谱中提取算符的标度维度。尽管我们只处理相对较小的系统尺寸，我们的结果与低标度维度算符的共形靴带预测紧密匹配，并揭示了若干之前未被表征的更高次级算符。这些发现突显了球面几何对于探测相互作用狄拉克临界的有效性。 显示英文摘要

摘要： In two spatial dimensions, the transition between topological and trivial Chern insulators exemplifies a class of beyond-Landau critical phenomena. We show that the interaction-driven multicritical point of this transition falls into the Gross-Neveu-Yukawa (GNY) universality class, a topic of considerable interest in both high-energy and condensed matter physics. In this work, we focus on the $N=2$ case of the GNY criticality. We employ exact diagonalization of Dirac fermions on a sphere to circumvent the parity anomaly, capitalize on full SO(3) symmetry to reduce finite-size effects, and directly extract operator scaling dimensions from the excitation spectrum. Despite working with only modest system sizes, our results closely match conformal bootstrap predictions for low-scaling dimension operators and reveal several previously uncharacterized higher primaries. These findings highlight the efficacy of spherical geometry for probing interacting Dirac criticality.