A FrenkelKontorova Model with Two Spring Constants: New Phases and Phase Transitions
Abstract
A discrete FrenkelKontorova model with two alternate spring constants $k_{1}$ and $k_{2}$ is studied. It is found that this model has many surprising behaviours. The continuum version of this model is different from the sineGordon equation, which is the continuum version of the standard FK model. More interestingly, it has an unpinned commensurate phase which is translationally invariant. A phase transition takes place on a lattice point in the parameter space. We have also predicted another interesting phase transition in which an unlocked commensurate phase breaking translational invariance will take place as the strength of the substrate potential is increased.
 Publication:

arXiv eprints
 Pub Date:
 June 1996
 arXiv:
 arXiv:condmat/9606011
 Bibcode:
 1996cond.mat..6011H
 Keywords:

 Condensed Matter
 EPrint:
 12 pages, latex, two ps figures