Manna, Surajit (2023) Classical Dimers on Archimedean Lattices. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Text (MS dissertation of Surajit Manna (18MS167))
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Abstract
Classical dimer models have long been an object of interest in statistical and mathematical physics for their exact solvability in specific cases and aiding in computation of perfect matchings in graphs. Their study is being revived in other contexts as they provide a simplistic model for deconfined phase transition and bears correspondence to frustrated Ising models. Out of 11 possible tilings of regular polygons, studies of this model have only focused on a few. This report places emphasis on the non-bipartite lattices are examined. Phase transition in relative fugacity of dimers on bonds with nearest and next-nearest neighbors is observed at a critical point in SrCuBO and Trellis lattices.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Prof. Kedar Damle, Tata Institute of Fundamental Research; Co-supervisor: Prof. Pradip Kumar Ghorai |
| Uncontrolled Keywords: | Archimedean Lattices; Classical Dimer Model; Fermionic Field Theory; Ising Models; Phase Transition |
| Subjects: | Q Science > QC Physics |
| Divisions: | Department of Chemical Sciences |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 13 Jun 2024 09:23 |
| Last Modified: | 13 Jun 2024 09:23 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/1631 |
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