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Geometrical meaning of the Drude weight and its relationship to orbital magnetization

2017/03/02 by Raffaele Resta, Resta, Raffaele · 3 citations
Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Magnetic and transport properties of perovskites and related materials #Magnetic properties of thin films #Materials Science (cond-mat.mtrl-sci)

paper · pdf · doi:10.48550/arxiv.1703.00712

openalex publication_date 2017/03/02 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

Abstract

At the mean-field level the Drude weight is the Fermi-volume integral of the effective inverse mass tensor. I show here that the deviation of the inverse mass from its free-electron value is the real symmetric part of a geometrical tensor, which is naturally endowed with an imaginary antisymmetric part. The Fermi-volume integral of the latter yields the orbital magnetization. The novel geometrical tensor has a very compact form, and looks like a close relative of the familiar metric-curvature tensor. The Fermi-volume integral of each of the two tensors provides (via real and imaginary parts) a couple of macroscopic observables of the electronic ground-state. I discuss the whole quartet, for both insulating and metallic crystals.

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