fig2

Figure 2. Dependence of the kink-induced wall tilt and kink self-energy on the sample thickness Δ. (A) Strain distribution induced by the kink for a sample with a thickness Δ of 101 l.u. (B) Bending of the local lattice with tilt angles θ₁ and θ₂. The green and blue lines indicate the bottom and top surfaces, respectively. (C) The variation of macroscopic tilt angles as a function of sample thickness Δ. The data points in (C) are fitted by θ = a + b × Δ^c with a ~ 0 for θ₁ and θ₂, b = 2.246 for θ₁ and b = -2.246 for θ₂, and c = -1 for θ₁ and θ₂. The fitted line in (C) shows the scaling exponent of -1 between the sample thickness and the tilt. (D) Relationship between kink self-energy and sample thickness Δ. The data points in (D) are fitted by E_kink = E_core - A × Δ^B with E_core = 0.17 eV, A = 6 eV l.u. and B = -1. The fitted line in (D) shows a scaling of ~1/Δ while logarithmic scaling equally fits the data for thicknesses > 1,000 l.u.