Nonconvex interactions and the occurrence of modulated phases
- 20 April 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (16) , 1660-1663
- https://doi.org/10.1103/physrevlett.58.1660
Abstract
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.Keywords
This publication has 15 references indexed in Scilit:
- Ground states of one-dimensional systems using effective potentialsPhysical Review B, 1986
- Lattice distortions and short-range magnetic order in classical magnetoelastic Heisenberg chainsPhysical Review B, 1986
- Effective Potentials: A New Approach and New Results for One-Dimensional Systems with Competing Length ScalesPhysical Review Letters, 1986
- A Devil's Staircase and the Ground State Phase Diagram in an Ising Chain with Spin-Lattice CouplingJournal of the Physics Society Japan, 1985
- Devil's staircase in a one-dimensional modelPhysical Review B, 1984
- Instability of the uniform atomic chain with a convex interatomic potentialSolid State Communications, 1983
- Exact models with a complete Devil's staircaseJournal of Physics C: Solid State Physics, 1983
- Commensurate phases, incommensurate phases and the devil's staircaseReports on Progress in Physics, 1982
- The Devil's staircase and harmless staircase. I. Oscillating interactions through elastic strains or other harmonic fieldsJournal of Physics C: Solid State Physics, 1980
- Structural phase transitions. II. Static critical behaviourAdvances in Physics, 1980