Keçoğlu, İbrahimBerker, A. NihatElectrical-Electronics Engineering05. Faculty of Engineering and Natural Sciences01. Kadir Has University2020-11-302020-11-3020201539-37551550-23761539-37551550-23762470-00452470-0053https://hdl.handle.net/20.500.12469/3490https://doi.org/10.1103/PhysRevE.102.032134Sharp 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.eninfo:eu-repo/semantics/openAccessAcross Dimensions: Two- and Three-Dimensional Phase Transitions From the Iterative Renormalization-Group Theory of ChainsArticle10.1103/PhysRevE.102.0321342-s2.0-850924290651