Presentation Information
[2A02【依頼講演】]Moiré-Controlled Structural Superlubricity in Finite Graphene Contacts: An Exact Lattice-Sum Theory
*Naruo Sasaki1 (1. The University of Electro-Communications (Japan))
Structural superlubricity in twisted layered materials is often interpreted in terms of moiré geometry, but an analytical finite-size theory directly connecting the interfacial energy landscape to force cancellation has been lacking. We develop an exact lattice-sum theory, within a first-order Fourier model, for a rigid finite-size rhombic graphene flake on graphite. The finite lattice sum of the substrate corrugation is evaluated analytically, yielding closed-form expressions for the interfacial energy and lateral force as functions of twist angle, flake size, and lateral displacement. Direct numerical summation verifies the theory. Near the zero-twist orientation, the energy corrugation and maximum lateral force are governed by the scaling variable √3Nθ. The zero-lateral-force condition √3N|θ| = nM corresponds to approximate accommodation of an nM × nM moiré supercell in the graphene flake. This theory provides a finite-size basis for moiré-controlled structural superlubricity.
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