The Z_6-symmetric model partition function on triangular lattice
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...
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Universiti Teknologi Malaysia
2020
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| Online Access: | http://irep.iium.edu.my/80925/ http://irep.iium.edu.my/80925/1/80925_The%20Z_6-symmetric%20model%20partition%20function.pdf http://irep.iium.edu.my/80925/6/80925-The%20Z%286%29-symmetric%20model%20partition%20function_wos.pdf |
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| author | Mohd Manshur, Nor Sakinah Zakaria, Siti Fatimah Ganikhodjaev, Nasir |
| author_facet | Mohd Manshur, Nor Sakinah Zakaria, Siti Fatimah Ganikhodjaev, Nasir |
| author_sort | Mohd Manshur, Nor Sakinah |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T17:50:30Z |
| format | Article |
| id | iium-80925 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:50:30Z |
| publishDate | 2020 |
| publisher | Universiti Teknologi Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-809252021-01-20T14:05:12Z http://irep.iium.edu.my/80925/ The Z_6-symmetric model partition function on triangular lattice Mohd Manshur, Nor Sakinah Zakaria, Siti Fatimah Ganikhodjaev, Nasir QA Mathematics QC Physics 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. Universiti Teknologi Malaysia 2020-06-15 Article PeerReviewed application/pdf en http://irep.iium.edu.my/80925/1/80925_The%20Z_6-symmetric%20model%20partition%20function.pdf application/pdf en http://irep.iium.edu.my/80925/6/80925-The%20Z%286%29-symmetric%20model%20partition%20function_wos.pdf 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 https://mjfas.utm.my/index.php/mjfas/article/view/1722/pdf 10.11113/mjfas.v16n3.1722 |
| spellingShingle | QA Mathematics QC Physics Mohd Manshur, Nor Sakinah Zakaria, Siti Fatimah Ganikhodjaev, Nasir The Z_6-symmetric model partition function on triangular lattice |
| title | The Z_6-symmetric model partition function on triangular lattice |
| title_full | The Z_6-symmetric model partition function on triangular lattice |
| title_fullStr | The Z_6-symmetric model partition function on triangular lattice |
| title_full_unstemmed | The Z_6-symmetric model partition function on triangular lattice |
| title_short | The Z_6-symmetric model partition function on triangular lattice |
| title_sort | z_6-symmetric model partition function on triangular lattice |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/80925/ http://irep.iium.edu.my/80925/ http://irep.iium.edu.my/80925/ http://irep.iium.edu.my/80925/1/80925_The%20Z_6-symmetric%20model%20partition%20function.pdf http://irep.iium.edu.my/80925/6/80925-The%20Z%286%29-symmetric%20model%20partition%20function_wos.pdf |