Condensed Matter

Geometry-Induced Flat Bands and High-Temperature Superconductivity in Electron-Doped Carbon Schwarzite C168

Authors: Evgeny Yashin

We present a theoretical study of the electronic properties of D-type C168 carbon schwarzite. Using a tight-binding model, we demonstrate that the negative Gaussian curvature intrinsic to the heptagonal rings induces anomalously flat bands and sharp van Hove singularities. Within the McMillan—Allen—Dynes framework, we estimate a superconducting transition temperature in the range of 57—78 K at an optimal doping of 0.15 e/atom. Our results suggest that 3D curvature can serve as a primary design principle for high-temperature superconductivity in carbon-based nanostructures.

Comments: 13 Pages.

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[v1] 2026-04-10 13:19:14

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