Akin, KutayBerker, A. Nihat2023-10-192023-10-19202262470-00452470-0053https://doi.org/10.1103/PhysRevE.106.014151https://hdl.handle.net/20.500.12469/5076The random-field XY model is studied in spatial dimensions d = 3 and 4, and in between, as the limit q -> infinity of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the Migdal-Kadanoff approximation to the hypercubic lattices. The lower critical dimension is determined between 3.81 < d(c) < 4. When the random field is scaled with q, a line segment of zero-temperature criticality is found in d = 3. When the random field is scaled with q(2), a universal phase diagram is found at intermediate temperatures in d = 3.eninfo:eu-repo/semantics/openAccessHierarchical LatticesPhase-TransitionsCritical-BehaviorSpin SystemsIsing-ModelRenormalizationHierarchical LatticesPhase-TransitionsCritical-BehaviorSpin SystemsIsing-ModelRenormalizationArticle1106WOS:00083531240000310.1103/PhysRevE.106.0141512-s2.0-85136330009Q1Q135974548