Potts model with the simplest modulated phase

Ganikhodjaev, Nasir and Temir, Seyit and Akin, Hasan and Uguz, Selman (2011) Potts model with the simplest modulated phase. Korean Physical Society. Journal, 59 (5). pp. 2971-2979. ISSN 0374-4884 (P), 1976-8524 (O)

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Abstract

We study the phase diagrams for the Potts model on the Bethe lattice with competing nearest-neighbor 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 < 2 > phases only; i.e., the set of modulated phases consists of the < 2 > phase only for J1 > 0 and Jp=J1 < 0: We verify that values of T=J1 in the very narrow strip ¡0:11 < T=J1 < 0 with ¡Jp=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.

Item Type:	Article (Journal)
Additional Information:	4430/7495
Uncontrolled Keywords:	Potts model, Cayley tree, Phase diagram, Prolonged ternary neighbors, Modulated phase
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	22 Nov 2011 15:33
Last Modified:	25 Jun 2013 11:56
URI:	http://irep.iium.edu.my/id/eprint/7495

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