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Aubry pinning transition of twisted two-dimensional material bilayers

Jin Wang* and Erio Tosatti†

  • *Contact author: jinwang@sissa.it
  • †Contact author: tosatti@sissa.it

Phys. Rev. B 112, 155406 – Published 9 October, 2025

DOI: https://doi.org/10.1103/fmrr-3r5j

Abstract

The nanomechanical and tribological properties of twisted bilayers of graphene (TBGs) and other two-dimensional (2D) structurally lubric interfaces still warrant investigation, particularly about the possibilities of spontaneous, defect-free pinning. We show here through extensive sliding simulations that TBGs remain superlubric even under loads up to 10 GPa and twist angles down to 0.3∘, with no evidence of pinning. To understand that, we studied a 2D Frenkel-Kontorova (FK) model—a twisted monolayer lattice in a periodic potential of variable magnitude U0 and stiffness K. Aubry-type spontaneous pinning appears at small twists, albeit with extra large U0/Ka2, when the width w of moiré dislocations shrinks to ∼4a, where a is the lattice spacing. A complementary FK-type model based on realistic graphene elasticity and geometry confirms that most TBGs and twisted 2D interfaces lie far below the critical pinning threshold. Their strong in-plane bonds and weak interlayer interactions yield U0/Ka2 orders of magnitude too small, and moiré dislocations remain wide, w≫a. This provides a unified theoretical framework to understand and predict Aubry pinning transitions, establishing the dislocation width as a practical criterion for spontaneous Aubry pinning, and highlighting its general absence with resilience of sliding lubricity in twisted 2D material bilayers under ordinary conditions.

Physics Subject Headings (PhySH)

synopsis

Twisted Bilayers Are Hard to Pin Down

Published 9 October, 2025

Simulations have shown that the 2D sheets in twisted bilayers such as graphene can slide past one another even at small twists and under extreme compression. 

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