- Open Access
Singularities at load-induced moiré locking transitions in twist grain boundaries
Phys. Rev. B 113, 104107 – Published 19 March, 2026
DOI: https://doi.org/10.1103/p9f7-ftjd
Abstract
Recent simulation work on the moiré formed by small angle crystalline twist grain boundaries (TGBs) revealed an unexpected load-induced first-order structural transition. Most likely universal, this unconventional transition drives a frictionally superlubric-to-locked transformation. It involves moiré reconstruction, with emergence of locally commensurate mini-domains, the formation of which implies broader consequences for interfacial phenomena beyond friction, which we study by nonequilibrium molecular dynamics simulations and nonequilibrium Green's function transport calculations. We show that, for small angle () Au(111) TGBs at the critical load of a few gigapascals, the transition is accompanied by singular responses, including a sharp dip in mechanical compliance and a increase of ballistic electrical resistance as well as of interfacial thermal resistance of mixed phononic and electronic origin. Both reflect the reconstruction of interlayer registry and coupling induced by the emergence of mini-domains. These structurally driven singularities provide experimentally accessible fingerprints of the transition and reveal a unified coupling between mechanical, dissipative, and transport responses at TGBs, opening alternative routes toward the active control of moiré interfacial functionalities.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (26)
- J. T. M. D. Hosson and V. Vitek, Atomic structure of (111) twist grain boundaries in f.c.c metals, Philos. Mag. A 61, 305 (1990).
- S. Dai, Y. Xiang, and D. J. Srolovitz, Structure and energy of (111) low-angle twist boundaries in Al, Cu and Ni, Acta Mater. 61, 1327 (2013).
- S. Dai, Y. Xiang, and D. J. Srolovitz, Atomistic, generalized Peierls–Nabarro and analytical models for (111) twist boundaries in Al, Cu and Ni for all twist angles, Acta Mater. 69, 162 (2014).
- H. Yoo, R. Engelke, S. Carr, S. Fang, K. Zhang, P. Cazeaux, S. H. Sung, R. Hovden, A. W. Tsen, T. Taniguchi, K. Watanabe, G.-C. Yi, M. Kim, M. Luskin, E. B. Tadmor, E. Kaxiras, and P. Kim, Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer graphene, Nat. Mater. 18, 448 (2019).
- N. P. Kazmierczak, M. Van Winkle, C. Ophus, K. C. Bustillo, S. Carr, H. G. Brown, J. Ciston, T. Taniguchi, K. Watanabe, and D. K. Bediako, Strain fields in twisted bilayer graphene, Nat. Mater. 20, 956 (2021).
- J. Wang and E. Tosatti, Universal moiré buckling of freestanding 2D bilayers, Proc. Natl. Acad. Sci. USA 121, e2418390121 (2024).
- O. Hod, E. Meyer, Q. Zheng, and M. Urbakh, Structural superlubricity and ultralow friction across the length scales, Nature (London) 563, 485 (2018).
- J. Wang, A. Khosravi, A. Vanossi, and E. Tosatti, Colloquium: Sliding and pinning in structurally lubric 2D material interfaces, Rev. Mod. Phys. 96, 011002 (2024).
- F. Yang, W. Zhou, Z. Zhang, X. Huang, J. Zhang, N. Liang, W. Yan, Y. Wang, M. Ding, Q. Guo, Y. Han, T.-H. Liu, K. Liu, Q. Zheng, and B. Song, Ultrahigh thermal conductance across superlubric interfaces in twisted graphite, Phys. Rev. Lett. 134, 146302 (2025).
- E. Koren, I. Leven, E. Lörtscher, A. Knoll, O. Hod, and U. Duerig, Coherent commensurate electronic states at the interface between misoriented graphene layers, Nat. Nanotechnol. 11, 752 (2016).
- S. Zhang, A. Song, L. Chen, C. Jiang, C. Chen, L. Gao, Y. Hou, L. Liu, T. Ma, H. Wang, et al., Abnormal conductivity in low-angle twisted bilayer graphene, Sci. Adv. 6, eabc5555 (2020).
- J. Wang and E. Tosatti, Superlubric-locked transition of twist grain boundaries in 3D crystals, Phys. Rev. Lett. 135, 026202 (2025).
- M. Peyrard and S. Aubry, Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model, J. Phys. C 16, 1593 (1983).
- S. Plimpton, Fast parallel algorithms for short-range molecular dynamics, J. Comput. Phys. 117, 1 (1995).
- A. P. Thompson, H. M. Aktulga, R. Berger, D. S. Bolintineanu, W. M. Brown, P. S. Crozier, P. J. in 't Veld, A. Kohlmeyer, S. G. Moore, T. D. Nguyen, R. Shan, M. J. Stevens, J. Tranchida, C. Trott, and S. J. Plimpton, LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales, Comput. Phys. Commun. 271, 108171 (2022).
- G. Trambly de Laissardière, D. Mayou, and L. Magaud, Localization of Dirac electrons in rotated graphene bilayers, Nano Lett. 10, 804 (2010).
- S. M. Foiles, M. I. Baskes, and M. S. Daw, Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys, Phys. Rev. B 33, 7983 (1986).
- M. Brandbyge, J.-L. Mozos, P. Ordejón, J. Taylor, and K. Stokbro, Density-functional method for nonequilibrium electron transport, Phys. Rev. B 65, 165401 (2002).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/p9f7-ftjd for additional details of NEGF calculations and NEMD simulations, which includes Refs. [18, 26].
- G. Grimvall, Thermophysical Properties of Materials (Elsevier, Amsterdam, 1999).
- J. M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids (Oxford University Press, New York, 2001).
- N. Mosso, U. Drechsler, F. Menges, P. Nirmalraj, S. Karg, H. Riel, and B. Gotsmann, Heat transport through atomic contacts, Nat. Nanotechnol. 12, 430 (2017).
- L. Cui, W. Jeong, S. Hur, M. Matt, J. C. Klöckner, F. Pauly, P. Nielaba, J. C. Cuevas, E. Meyhofer, and P. Reddy, Quantized thermal transport in single-atom junctions, Science 355, 1192 (2017).
- J. C. Klöckner, M. Matt, P. Nielaba, F. Pauly, and J. C. Cuevas, Thermal conductance of metallic atomic-size contacts: Phonon transport and Wiedemann-Franz law, Phys. Rev. B 96, 205405 (2017).
- J. Wang and E. Tosatti, Aubry pinning transition of twisted two-dimensional material bilayers, Phys. Rev. B 112, 155406 (2025).
- J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal, The SIESTA method for ab initio order- materials simulation, J. Phys.: Condens. Matter 14, 2745 (2002).