Figure 1

Profile of the local magnetization $⟨m_n⟩=⟨S_i{⟩}_{i\in n}$ of the $8\times 8\times 12$ system for different block sizes $B$ (values quoted in the key), shown by solid lines, and the total profile of the $4\times 4\times 6$ system (this would correspond to $B=16$) as a dashed line. The symbols present the actual simulation data, while the curves are fits to a $\tanh $ profile which is the standard mean-field result for an intrinsic profile. Note that $⟨m_n⟩$ is related to the concentration profile via $\varphi (z)=(1+⟨m_n⟩)/2$. The inset shows the squared width vs $B$, choosing a logarithmic abscissa to show that there is no regime where $w^2\propto \ln B$ holds, rather $w^2$ saturates at a finite value rather quickly.Reuse & Permissions

Figure 2

(a) Qualitative sketch of a typical configuration of a coherent two-dimensional binary alloy with mismatch in the lattice spacing. The pure species both crystallize in a square lattice. (b) Distances in planes parallel to the interface (001) in Å vs layer index $n$ for the $8\times 8\times 12$ system. The arrows indicate the ideal bond lengths $R_0$ used in the Keating potential.Reuse & Permissions

Figure 3

Angles between nearest neighbors (nn) termed $A,B$, and $C,B$ being the atom in vertex position, plotted vs the layer index in the $z$ direction across a $8\times 8\times 12$ system. The layer index refers to that plane where the vertex atom sits. In the upper panel (a) the two nearest neighbors $A$ and $C$ are located in the same (001)-plane, while in the lower panel (b) the two nearest neighbors $A$ and $C$ are located in different (001)-planes (one with layer index $n-1$ and one with layer index $n+1$, if the vertex atom has layer index $n$). The arrows mark the angle $\theta =109.47°$ of the perfect tetrahedron. The data points correspond to an average over 2705 configurations taken at intervals of ${10}^3$ Monte Carlo steps. Only angles appearing on average at least once per plane are shown. Errors are smaller than the size of the symbols.Reuse & Permissions

Figure 4

Magnetization profiles $⟨m_n⟩$ vs plane position $⟨z_n⟩$ across the film, using a very thin film of size $8\times 8\times 2$, at various temperatures as indicated. The $z$ coordinates of the two surfaces where the boundary fields act are shown by vertical straight lines. For $k_{B}T<0.018\mathrm{eV}$ two profiles are shown for each temperature, corresponding to different signs of the total magnetization $M={\Sigma }_i{S}_i$.Reuse & Permissions