Dresden 2026 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 23: Correlated Electrons – Poster I

TT 23.34: Poster

Montag, 9. März 2026, 18:00–20:00, P1

Quantum geometry in the context of many-body perturbation theory — •Mario Geoffroy and Corentin Morice — Laboratoire de Physique des Solides, Université Paris-Saclay, CNRS, Orsay, France

Quantum geometry gives rise to some of the most topical physical phenomena in the past decades, but our current understanding of it remains based on single-particle topological band theory, and fails in the presence of electronic correlations [1]. This is particularly problematic given the overwhelming usage of density functional theory for the diagnosis of topological states in materials [2]. Many-body generalizations of the Chern number and other invariants have been put forward, but many-body quantum geometry remains elusive. We study the influence of electronic interactions on the Berry curvature in tractable systems, in view of developing formalisms adapted to accurate predictions in real materials.
[1] J. Vidal et al., PRB 84, 041109(R) (2011)
[2] B. Bradlyn et al., Nature 547, 298 (2017)

Keywords: Quantum geometry; Many-body perturbation theory; Topology; Berry curvature