Molecular Berry curvatures and the adiabatic response tensors

2022/11/23 by Raffaele Resta, Resta, Raffaele · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Graphene research and applications #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Molecular Junctions and Nanostructures

paper · pdf · doi:10.48550/arxiv.2211.13022

openalex publication_date 2022/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Adiabatic transport in a many-electron system is expressed in terms of the appropriate Berry curvature, owing to the Niu-Thouless theory [J. Phys A \bf 17, 2453 (1984)]; the main equation is very compact and very general. I address here three paradigmatic adiabatic response tensors -- -the atomic polar tensor, the atomic axial tensor, and the rotational g factor -- and I show that, for all of them, the known formulas do not need an independent proof. They are just case studies of the general expression, for different choices the curvature's two arguments.

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