Abstract
We study the phase diagrams for the Potts model on the Bethe lattice with competing nearestneighbor interactions J1 and ternary interactions Jp and Jt: At vanishing temperature, the phase diagram is fully determined for all values and signs of Jp=J1 and Jt=J1; in particular, we show that the phase diagrams contain ferromagnetic, paramagnetic and phases only; i.e., the set of modulated phases consists of the phase only for J1 > 0 and Jp=J1 < 0: We verify that values of T=J1 in the very narrow strip i0:11 < T=J1 < 0 with iJp=J1 < 0 favor the modulated phase, which is either a commensurate phase with a very large period or an incommensurate phase. The transition lines are obtained from stability conditions, and characteristic points in the phase diagram are analyzed by using numerical iterations. Also the wavevectors versus temperature are plotted for some critical points in the modulated phases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.