Ground states of a one-dimensional lattice-gas model with an infinite range nonconvex interaction. A numerical study

TL;DR

This paper numerically investigates the ground states of a one-dimensional lattice-gas model with infinite-range nonconvex interactions, revealing complex phase diagrams with multiple periodic phases and discussing surface states' roles in phase transitions.

Contribution

It provides a detailed numerical analysis of the ground state phase diagrams for a nonconvex lattice-gas model with long-range interactions, highlighting complex phase structures.

Findings

Phase diagrams contain regions with multiple short-period phases.

Long periodic phases are prevalent in complex phase diagrams.

Surface states may influence phase transition mechanisms.

Abstract

We consider a lattice-gas model with an infinite range pairwise noncovex interaction. It might be relevant, for example, for adsorption of alkaline elements on W(112) and Mo(112). We study a competition between the effective dipole-dipole and indirect interactions. The resulting ground state phase diagrams are analysed (numerically) in detail. We have found that for some model parameters the phase diagrams contain a region dominated by several phases only with periods up to nine lattice constants. The remaining phase diagrams reveal a complex structure of usually long periodic phases. We also discuss a possible role of surace states in phase transitions.