Discrete-to-continuum modelling of weakly interacting incommensurate two-dimensional lattices

DOI10.1098/rspa.2017.0612zbMath1402.82007arXiv1708.00974OpenAlexW2744549402WikidataQ53456202 ScholiaQ53456202MaRDI QIDQ4556884

J. Patrick Wilber, Malena I. Español, Dmitry Golovaty

Publication date: 28 November 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00974

zbMATH Keywords

heterostructuredomain wallGinzburg-Landau energybilayer graphenemoiré patterndiscrete-to-continuum modelling

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space ⋮ Energy minimization of two dimensional incommensurate heterostructures

Uses Software

• COMSOL

Cites Work

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• Hexagonal lattices with three-point interactions
• A derivation of linear elastic energies from pair-interaction atomistic systems
• ELASTIC LIMIT OF SQUARE LATTICES WITH THREE-POINT INTERACTIONS
• Atomistic to Continuum limits for computational materials science

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