Phase diagrams and crossover in spatially anisotropic d = 3 Ising, XY magnetic, and percolation systems: exact renormalization-group solutions of hierarchical models.

@article{Erba2005PhaseDA,
  title={Phase diagrams and crossover in spatially anisotropic d = 3 Ising, XY magnetic, and percolation systems: exact renormalization-group solutions of hierarchical models.},
  author={Aykut Erbaş and Aslı Tuncer and Burcu Y{\"u}cesoy and A. Nihat Berker},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={72 2 Pt 2},
  pages={
          026129
        }
}
  • Aykut Erbaş, Aslı Tuncer, +1 author A. Nihat Berker
  • Published in
    Physical review. E…
    2005
  • Physics, Medicine
  • 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. 

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