发表机构
Konkuk University（建国大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在非相对论Haldane模型中，采用曲率诱导形变的微观晶格公式，发现曲率诱导能量响应的三阶不连续性具有普适拓扑特征，验证了相对论有效场论的相关预测。
AI 中文摘要
相对论有效场论预测，引力场会产生三阶空间梯度下的拓扑能量响应。本文采用曲率诱导形变的微观晶格公式，在非相对论Haldane模型中研究该响应的产生机制。研究发现，一阶主导能量响应不具有普适性，依赖于形变的键分辨结构；特别地，当三个最近邻跃迁发生对称调制时，该响应会消失。相比之下，三阶响应在拓扑相变处存在不连续性，其幅度与相对论引力Chern–Simons预测一致。因此，尽管绝对响应不具有普适性，其三阶不连续性仍具有普适性，在相对论极限之外保留了特征性拓扑指纹。
英文摘要
Relativistic effective field theory predicts a topological energy response to a gravitational field that appears at third order in spatial gradients. Here, we investigate how this response emerges in the nonrelativistic Haldane model using a microscopic lattice formulation of curvature-induced deformations. We find that the leading first-order energy response is nonuniversal and depends on the bond-resolved structure of the deformation; in particular, it vanishes for a symmetric modulation of the three nearest-neighbor hoppings. At third order, the curvature-induced energy response contains a bond-symmetric component together with nonuniversal bond-dependent contributions. The bond-symmetric component, which is isolated by a uniform modulation of the three hoppings, exhibits a universal discontinuity across the topological transition whose magnitude agrees with the relativistic gravitational Chern--Simons prediction. Thus, although the full curvature-induced energy response generally contains nonuniversal lattice contributions, its third-order response retains a universal topological component beyond the relativistic limit.
Comments17 pages, 6 figures
