title: Phase diagrams and crossover in spatially anisotropic d = 3 Ising, XY magnetic, and percolation systems: exact renormalization-group solutions of hierarchical models.
abstract: Hierarchical lattices that constitute spatially anisotropic systems are introduced. These lattices provide exact solutions for hierarchical models and, simultaneously, approximate solutions for uniaxially or fully anisotropic d = 3 physical models. The global phase diagrams, with d = 2 and d = 1 to d = 3 crossovers, are obtained for Ising and XY magnetic models and percolation systems, including crossovers from algebraic order to true long-range order.
authors.affiliation: Department of Physics, Istanbul Technical University, Maslak 34469, Istanbul, Turkey.
authors.forename: Aykut
authors.initials: A
authors.lastname: Erbaş
authors.forename: Asli
authors.initials: A
authors.lastname: Tuncer
authors.forename: Burcu
authors.initials: B
authors.lastname: Yücesoy
authors.forename: A Nihat
authors.initials: AN
authors.lastname: Berker