Note on Green Function Formalism and Topological Invariants
High Energy Physics - Theory
2026-01-27 v2 Strongly Correlated Electrons
Mathematical Physics
Algebraic Topology
math.MP
Quantum Physics
Abstract
It has been discovered previously that the topological order parameter could be identified from the topological data of the Green's function, namely the (generalized) TKNN invariant in general dimensions, for both non-interacting and interacting systems. In this note, we show that this phenomenon has a clear geometric derivation. This proposal could be regarded as an alternative proof for the identification of the corresponding topological invariant and the topological order parameter.
Cite
@article{arxiv.1712.08775,
title = {Note on Green Function Formalism and Topological Invariants},
author = {Yehao Zhou and Junyu Liu},
journal= {arXiv preprint arXiv:1712.08775},
year = {2026}
}
Comments
19 pages, 3 figures