Interaction corrections to topological density three-point functions in two-dimensional Fermi liquids: a coadjoint orbit perspective
Abstract
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, 𝒪(ℱ(2,0)), there exists a contribution proportional to the band curvature ε''(pF) 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.
Related
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BibTeX
@misc{pal2026interaction,
title = {{Interaction corrections to topological density three-point functions in two-dimensional Fermi liquids: a coadjoint orbit perspective}},
author = {Akshay Pal and Andrew Lucas and Umang Mehta},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28588},
eprint = {2608.28588},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28588},
}
RIS
TY - UNPB
TI - Interaction corrections to topological density three-point functions in two-dimensional Fermi liquids: a coadjoint orbit perspective
AU - Akshay Pal
AU - Andrew Lucas
AU - Umang Mehta
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28588
UR - https://arxiv.org/abs/2608.28588
AB - 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, 𝒪(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.
ER -