Spin-s Spin-Glass Phases in the d=3 Ising Model
arXiv:2105.10927 · doi:10.1103/PhysRevE.104.044131
Abstract
All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It is found that, in d=3, a finite-temperature spin-glass phase occurs for all spin values, including the continuum limit of s \rightarrow \infty. The phase diagrams, with increasing spin s, saturate to a limit value. The spin-glass phase, for all s, exhibits chaotic behavior under rescalings, with the calculated Lyapunov exponent of λ= 1.93 and runaway exponent of y_R=0.24, showing simultaneous strong-chaos and strong-coupling behaviors. The ferromagnetic-spinglass-antiferromagnetic phase transitions occurring around p_t = 0.37 and 0.63 are unaffected by s, confirming the percolative nature of this phase transition.
arXiv commentPublished version, 6 pages, 4 figures, many phase diagrams
References in corpus (35)
- Energy exponents and corrections to scaling in Ising spin glasses
- Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
- Stiffness of the Edwards-Anderson Model in all Dimensions
- Best-case performance of quantum annealers on native spin-glass benchmarks: How chaos can affect success probabilities
- Interfaces and Lower Critical Dimension in a Spin Glass Model
- Scalings of domain wall energies in two dimensional Ising spin glasses
- A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices
- High q-State Clock Spin Glasses in Three Dimensions and the Lyapunov Exponents of Chaotic Phases and Chaotic Phase Boundaries
- Explicit formulas for heat kernels on diamond fractals
- Temperature chaos is present in off-equilibrium spin-glass dynamics
- Overfrustrated and Underfrustrated Spin-Glasses in d=3 and 2: Evolution of Phase Diagrams and Chaos Including Spin-Glass Order in d=2
- Perfect quantum state transfer on diamond fractal graphs
- Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions
- Odd q-State Clock Spin-Glass Models in Three Dimensions, Asymmetric Phase Diagrams, and Multiple Algebraically Ordered Phases
- -Plane Zeros of the Potts Partition Function on Diamond Hierarchical Graphs
- Two-dimensional quantum-spin-1/2 XXZ magnet in zero magnetic field: global thermodynamics from renormalization group theory
- Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field
- Lower-Critical Spin-Glass Dimension from 23 Sequenced Hierarchical Models
- The Blume-Capel Model on Hierarchical Lattices: exact local properties
- The Chiral Potts Spin Glass in d=2 and 3 Dimensions
- Bond chaos in spin glasses revealed through thermal boundary conditions
- Temperature chaos is a non-local effect
- Low temperature series expansions for the square lattice Ising model with spin S > 1
- Analysis of Coined Quantum Walks with Renormalization
- Real-Space Renormalization for disordered systems at the level of Large Deviations
- Quantum-Mechanically Induced Asymmetry in the Phase Diagrams of Spin-Glass Systems
- Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems
- Real Space Migdal-Kadanoff Renormalisation of Glassy Systems: Recent Results and a Critical Assessment
- Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
- A Lower Lower-Critical Spin-Glass Dimension from Quenched Mixed-Spatial-Dimensional Spin Glasses
- Chaotic temperature and bond dependence of four-dimensional Gaussian spin glasses with partial thermal boundary conditions
- Complete Density Calculations of q-State Potts and Clock Models: Reentrance of Interface Densities under Symmetry Breaking
- Critical parameters and universal amplitude ratios of two-dimensional spin-S Ising models using high- and low-temperature expansions
- Updated tests of scaling and universality for the spin-spin correlations in the 2D and 3D spin-S Ising models using high-temperature expansions
- A simple approach to chaos for -spin models