Global Ashkin-Teller phase diagrams in two and three dimensions: Multicritical bifurcation versus double tricriticality-endpoint
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Date
2023
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Elsevier
Abstract
The global phase diagrams of the Ashkin-Teller model are calculated in d = 2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently improved Migdal-Kadanoff procedure. Three different ordered phases occur in the dimensionally distinct phase diagrams that reflect three-fold order-parameter permutation symmetry, a closed symmetry line, and a quasi-disorder line. First- and second-order phase boundaries are obtained. In d = 2, second-order phase transitions meeting at a bifurcation point are seen. In d = 3, first- and second-order phase transitions are separated by tricritical and critical endpoints.
Description
Kecoglu, Ibrahim/0000-0002-2141-8401; Berker, A/0000-0002-5172-2172
Keywords
First and second-order phase transitions, Bifurcation, tricritical, critical-end points, Exact renormalization-group solution, Hierarchical lattices in d=2 and 3, Ashkin-Teller spin model
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0
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Q2
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Q2
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Volume
630