The Blume-Emery-Griffiths Spin Glass and Inverted Tricritical Points

Abstract

The Blume-Emery-Griffiths spin glass is studied by renormalization-group theory in d=3. The boundary between the ferromagnetic and paramagnetic phases has first-order and two types of second-order segments. This topology includes an inverted tricritical point, first-order transitions replacing second-order transitions as temperature is lowered. The phase diagrams show disconnected spin-glass regions, spin-glass and paramagnetic reentrances, and complete reentrance, where the spin-glass phase replaces the ferromagnet as temperature is lowered for all chemical potentials.

Added discussion, references, and figure insets. 5 pages, 6 figures. Published version

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Cited by in corpus (18)

• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• Thermodynamic first order transition and inverse freezing in a 3D spin-glass
• Odd q-State Clock Spin-Glass Models in Three Dimensions, Asymmetric Phase Diagrams, and Multiple Algebraically Ordered Phases
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• Phase Diagram of Ferroelastic Systems in the Presence of Disorder: Analytical Model and Experimental Verification
• Lower-Critical Spin-Glass Dimension from 23 Sequenced Hierarchical Models
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Renormalization Group on hierarchical lattices in finite dimensional disordered Ising and Blume-Emery-Griffiths Models
• Nonequilibrium dynamics of a spin-3/2 Blume Capel model with quenched random crystal field
• Quenched-Vacancy Induced Spin-Glass Order
• Tricriticality and Reentrance in a Naive Spin-Glass Model
• Criticality in the randomness-induced second-order phase transition of the triangular Ising antiferromagnet with nearest- and next-nearest-neighbor interactions
• Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass
• Small clusters Renormalization Group in 2D and 3D Ising and BEG models with ferro, antiferro and quenched disordered magnetic interactions
• The overlap parameter across an inverse first order phase transition in a 3D spin-glass
• Dynamical arrest with zero complexity: the unusual behavior of the spherical Blume Emery Griffiths disordered model
• Critical Percolation Phase and Thermal BKT Transition in a Scale-Free Network with Short-Range and Long-Range Random Bonds