Chern number and orbital magnetization in ribbons, polymers, and layered materials

Abstract

The modern theory of orbital magnetization addresses crystalline materials at the noninteracting level: therein the observable is the k-space integral of a geometrical integrand. Alternatively, magnetization admits a local representation in r space, i.e. a "density" which may address noncrystalline and/or inhomogeneous materials as well; the Chern number admits an analogous density. Here we provide the formulation for ribbons, polymers, and layered materials, where both k-space and r-space integrations enter the definition of the two observables.

arXiv comment6 pages, 4 figures

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Cited by in corpus (8)

• Orbital magnetoelectric effect in nanoribbons of transition metal dichalcogenides
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Vertical transverse transport induced by hidden in-plane Berry curvature in two dimensions
• Effects of Boundary on Orbital Magnetization for a Bilayer System with Different Chern Numbers
• Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
• Topological characterization of modified Kane-Mele-Rashba models via local spin Chern marker
• Orbital Magnetization under an Electric Field and Orbital Magnetoelectric Polarizabilty for a Bilayer Chern System
• Planar Nernst effect from hidden band geometry in layered two-dimensional materials