Reentrant and Forward Phase Diagrams of the Anisotropic Three-Dimensional Ising Spin Glass

Abstract

The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antiferromagnetic, and spin-glass phases, are found in the global phase diagram. The spin-glass phase is more extensive when randomness is introduced within the planes than when it is introduced in lines along one direction. Phase diagram cross-sections, with no Nishimori symmetry, with Nishimori symmetry lines, or entirely imbedded into Nishimori symmetry, are studied. The boundary between the ferromagnetic and spin-glass phases can be either reentrant or forward, that is either receding from or penetrating into the spin-glass phase, as temperature is lowered. However, this boundary is always reentrant when the multicritical point terminating it is on the Nishimori symmetry line.

Added 7 more references. Published version. 7 pages, 7 figures, 1 table

References in corpus (12)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Fractal and Transfractal Recursive Scale-Free Nets
• Percolation in Hierarchical Scale-Free Nets
• Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices
• BKT-like transition in the Potts model on an inhomogeneous annealed network
• Evolving small-world scale-free networks consist of cliques
• Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
• Multicritical Point Relations in Three Dual Pairs of Hierarchical-Lattice Ising Spin-Glasses
• Duality in finite-dimensional spin glasses
• Critical behavior of interfaces in disordered Potts ferromagnets : statistics of free-energy, energy and interfacial adsorption
• d=3 Anisotropic and d=2 tJ Models: Phase Diagrams, Thermodynamic Properties, and Chemical Potential Shift
• Multicritical Points of Potts Spin Glasses on the Triangular Lattice

Cited by in corpus (4)

• High q-State Clock Spin Glasses in Three Dimensions and the Lyapunov Exponents of Chaotic Phases and Chaotic Phase Boundaries
• Odd q-State Clock Spin-Glass Models in Three Dimensions, Asymmetric Phase Diagrams, and Multiple Algebraically Ordered Phases
• Quenched-Vacancy Induced Spin-Glass Order
• Critical aspects of three-dimensional anisotropic spin-glass models