Fractional Corner Charge of Sodium Chloride

Abstract

Recent developments in higher-order topological phases have elucidated on the relationship between nontrivial multipole moments in the bulk and the emergence of fractionally quantized charges at the boundary. Here, we put on the table a proposal of the three-dimensional octupole insulator with fractionally quantized corner charges $\pm e/8$: sodium chloride, commonly known as table salt. The fractional quantization of the corner charge is unaffected by the quantum fluctuation of the electric charge per ion, as we demonstrate explicitly with ab initio calculations. We further show that the electrostatic signature of the fractional charge is well-preserved even when the ideal crystal is sprinkled with defects, and provide a systematic analysis on how the corner charge contribution could be isolated from the electric-field corrections originating from realistic surface relaxation. Our results suggest that the observation of corner charges from quantized multipole moments in solids might be around the corner.

14 pages, 7 figures

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Cited by in corpus (11)

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• Universal higher-order bulk-boundary correspondence of triple nodal points
• Fractional hinge and corner charges in various crystal shapes with cubic symmetry
• Protected Gapless Edge States In Trivial Topology
• Topologically localized insulators
• Additive rule of real and reciprocal space topologies at disclinations
• Recipe for higher-order topology on the triangular lattice
• Many-Body Quadrupolar Sum Rule for Higher-Order Topological Insulator