Phys. Rev. Lett. 58, 1660-1663 (1987) [Issue 16 - April 1987 ] [ Previous article | Next article | Issue 16 contents ] View Page Images or PDF (323 kB) Nonconvex interactions and the occurrence of modulated phases Mario Marchand, Kevin Hood, and Alain Caillé Département de Physique et Centre de Recherche en Physique du Solide, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada Received 24 October 1986 Nonconvex interparticle interactions are proposed as a mechanism for the occurrence of modulated order in condensed matter. This is examined by application of a recent numerical algorithm to two microscopic models in which frustration is present only if the interparticle interactions are nonconvex. A devil's staircase is found when the particles, in the ground state, make use only of the convex part of the interaction potential, whereas both first- and second-order transitions are found when the region of nonconvexity is felt by some of the particles. ©1987 The American Physical Society URL: http://publish.aps.org/abstract/PRL/v58/p1660 PACS: 64.60.-i, 05.70.Fh