Crystallography of quasiperiodic moiré patterns in homophase twisted bilayers

Quiquandon, M.; Gratias, D.

doi:10.1107/S2053273324012087

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 4
(a) Typical moiré pattern $[|\mu_{\delta,\tau}(z)|]$ of a homophase bilayer made of an oblique structure p2 [ρ = 1.365, φ = 108°, δ = 4°, τ = (0.2, 0.3)_Λ] with one atom per unit cell located on the twofold axis; the two lattices L₁ and L₂ are drawn in, respectively, blue and red. (b) The yellow lattice corresponds to the half period $[\Lambda/\sin\delta]$ of the distribution of the moiré cells whereas in (c) the lattice in cyan of half period $[\Lambda/\cos\delta]$ gives the internal structure of each cell.