Tuerkoglu, AlparBerker, A. Nihat2024-06-232024-06-23202402470-00452470-0053https://doi.org/10.1103/PhysRevE.109.014114https://hdl.handle.net/20.500.12469/5681Turkoglu, Alpar/0000-0002-3784-1300; Berker, A/0000-0002-5172-2172The random-magnetic-field classical Heisenberg model is solved in spatial dimensions d >= 2 using the recently developed Fourier-Legendre renormalization-group theory for 47r steradians continuously orientable spins, with renormalization-group flows of 12 500 variables. The random-magnetic-field Heisenberg model is exactly solved in 10 hierarchical models, for d = 2, 2.26, 2.46, 2.58, 2.63, 2.77, 2.89, 3. For nonzero random fields, ferromagnetic order is seen ford > 2. This ordering, at d = 2.46, 2.58, 2.63, 2.77, 2.89, 3, shows reentrance as a function of temperature.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]Article1109WOS:00115827340001010.1103/PhysRevE.109.0141142-s2.0-85182738092Q1Q138366445