4 papers · 1 filter
Ferromagnetic and Spin-Glass Finite-Temperature Order but no Antiferromagnetic Order in the d=1 Ising Model with Long-Range Power-Law Interactions
E. Can Artun, A. Nihat Berker
The d=1 Ising ferromagnet and spin glass with long-range power-law interactions J r^-a is studied for all interaction range exponents a by a renormalization-group transformation th…
Spinodal and Equilibrium Global Phase Diagram of the d=3 Merged Potts-Cubic-Clock Model: First-Order Equilibrium and Second-Order Spinodal Boundaries with Hidden Topologies from Renormalization-Group Theory
Umut Acikel, A. Nihat Berker
A model that merges the Potts, cubic, and clock models is studied in spatial dimension d=3 by renormalization-group theory. Effective vacancies are included in the renormalization-…
XY-Ashkin-Teller Phase Diagram in d=3
Alpar Turkoglu, A. Nihat Berker
The phase diagram of the Ashkin-Tellerized XY model in spatial dimension is calculated by renormalization-group theory. In this system, each site has two spins, each spin bei…
Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint
Ibrahim Kecoglu, A. Nihat Berker
The global phase diagrams of the Askin-Teller model are calculated in d=2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the rec…