Quantum Theory of Functionally Graded Materials

Addressing the breakdown of Bloch's theorem in spatially varying composites, this paper establishes a foundational ab initio quantum theoretical framework for functionally graded materials that derives effective field equations for modulated Bloch states, revealing non-tensorial electromagnetic properties and enabling the predictive design of optimized electronic devices such as graded p-n junctions.

Michael J. Landry, Ryotaro Okabe, Chuliang Fu + 1 more2026-03-03⚛️ quant-ph

Scalar vacuum densities on Beltrami pseudosphere

This paper investigates the vacuum expectation values of the field squared and energy-momentum tensor for a charged scalar field on a (2+1)-dimensional Beltrami pseudosphere with a compactified azimuthal coordinate, revealing that while geometric contributions are divergent, topological effects are finite and exhibit distinct power-law behaviors depending on the field mass, curvature coupling, and compactification scale.

T. A. Petrosyan2026-03-02⚛️ hep-th