Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-06-16
Physics
Condensed Matter
Statistical Mechanics
32 pages, 7 figures
Scientific paper
10.1103/PhysRevE.62.7781
We present a theoretical study of the phase diagram of a frustrated Ising model with nearest-neighbor ferromagnetic interactions and long-range (Coulombic) antiferromagnetic interactions. For nonzero frustration, long-range ferromagnetic order is forbidden, and the ground-state of the system consists of phases characterized by periodically modulated structures. At finite temperatures, the phase diagram is calculated within the mean-field approximation. Below the transition line that separates the disordered and the ordered phases, the frustration-temperature phase diagram displays an infinite number of ``flowers'', each flower being made by an infinite number of modulated phases generated by structure combination branching processes. The specificities introduced by the long-range nature of the frustrating interaction and the limitation of the mean-field approach are finally discussed.
Grousson M.
Tarjus Gilles
Viot Pascal
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