The Z_6-symmetric model partition function on triangular lattice

Mohd Manshur, Nor Sakinah and Zakaria, Siti Fatimah and Ganikhodjaev, Nasir (2020) The Z_6-symmetric model partition function on triangular lattice. Malaysian Journal of Fundamental and Applied Sciences, 16 (3). pp. 264-270. ISSN 2289-5981 E-ISSN 2289-559X

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Abstract

There is a study on a square lattice that can predict the existence of multiple phase transitions on a complex plane. We extend the study on the different types of ZQ-symmetric model and different lattices in order to provide more evidence to the existence of multiple phase transitions. We focus on the ZQ-symmetric model with the nearest neighbour interaction on the six spin directions between molecular dipole, i.e. Q = 6 on a triangular lattice. Mainly, the model is defined on the triangular lattice graph with the nearest neighbour interaction. By using the transfer matrix approach, the partition functions are computed for increasing lattice sizes. The roots of polynomial partition function are also computed and plotted in the complex Argand plane. The specific heat equation is used for further comparison. The result supports the existence of the multiple phase transitions by the emergence of the multiple line curves in the locus of zeros distribution for specific type of energy level.

Item Type:	Article (Journal)
Additional Information:	8033/80925
Uncontrolled Keywords:	Statistical mechanics, Z-Q-symmetric model, partition function, triangular lattice, phase transition
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 Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Siti Fatimah Zakaria
Date Deposited:	24 Jun 2020 11:55
Last Modified:	20 Jan 2021 22:05
URI:	http://irep.iium.edu.my/id/eprint/80925

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