Across dimensions: Two- and three-dimensional phase transitions from the iterative renormalization-group theory of chains
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- 21 September 2020
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 102 (3) , 032134
Abstract
Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or nonzero magnetization, but the method reflects crossover from temperaturelike to fieldlike renormalization-group flows as the mechanism for the higher-dimensional phase transitions. The magnetization of each chain acts, via the interaction constant, as a magnetic field on its neighboring chains, thus entering its renormalization-group calculation. The method is highly flexible for wide application.Keywords
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Funding Information
- Türkiye Bilimler Akademisi
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