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The compositional ordering of Ag, Pb, Sb, Te ions in(AgSbTe$_{2}$)$_{x}$(PbTe)$_{2(1-x)}$ systems possessing a NaCl structure isstudied using a Coulomb lattice gas (CLG) model on a face-centered cubic (fcc)lattice and Monte Carlo simulations. Our results show different possiblemicrostructural orderings. Ordered superlattice structures formed out ofAgSbTe$_{2}$ layers separated by Pb$_{2}$Te$_{2}$ layers are observed for alarge range of $x$ values. For $x=0.5$, we see an array of tubular structuresformed by AgSbTe$_{2}$ and Pb$_{2}$Te$_{2}$ blocks. For $x=1$, AgSbTe$_{2}$ hasa body-centered tetragonal (bct) structure which is in agreement with previousMonte Carlo simulation results for restricted primitive model (RPM) at closedpacked density. The phase diagram of this frustrated CLG system is discussed.

Charge ordering and self-assembled nanostructures in a fcc Coulomb lattice gas