AI 中文总结
本文采用余伴随轨道有效场论，证明广义朗道相互作用线性阶下的带曲率项可改变二维费米液体密度三点关联函数的非解析结构，修正其拓扑探测性质。
AI 中文摘要
密度三点关联函数可探测二维无相互作用体系费米海的拓扑性质。本文采用余伴随轨道有效场论研究这些关联如何被相互作用修正。余伴随轨道形式的关键优势在于，它提供了一种系统方法，通过玻色化自由度纳入广义朗道相互作用，将费米子圈图贡献映射为更简单的树图。我们证明，对于一般的各向同性色散关系ε(p)，即使在广义朗道相互作用的线性阶O(F^(2,0))，也存在与带曲率ε''(p_F)成正比的贡献，它改变了无相互作用密度三点关联函数的非解析结构。该贡献引入了一种不同于无相互作用情形或相互作用伽利略不变体系的独特非解析结构，表明相互作用效应可修改探测拓扑的密度三点关联函数。
英文摘要
Density three-point correlations are known to probe the topology of the Fermi sea in two-dimensional noninteracting systems. Here, we study how these correlations are modified by interactions using the coadjoint-orbit effective field theory. A key advantage of the coadjoint-orbit formulation is that it provides a systematic way to incorporate generalized Landau interactions in terms of bosonized degrees of freedom, mapping fermionic loop contributions onto simpler tree-level diagrams. We show that, for a general isotropic dispersion $ε(p)$, even at linear order in the generalized Landau interaction, $\mathcal{O}(\mathcal{F}^{(2,0)})$, there exists a contribution proportional to the band curvature $ε''(p_F)$ that changes the nonanalytic structure of the free density three-point correlation function. This contribution introduces a distinct nonanalytic structure beyond that found in either the noninteracting case or an interacting Galilean-invariant system, showing that interaction effects can modify the topology-detecting density three-point correlation.
Comments24 pages, 1 figure
