Scalings of domain wall energies in two dimensional Ising spin glasses

Abstract

We study domain wall energies of two dimensional spin glasses. The scaling of these energies depends on the model's distribution of quenched random couplings, falling into three different classes. The first class is associated with the exponent theta =-0.28, the other two classes have theta = 0, as can be justified theoretically. In contrast to previous claims, we find that theta=0 does not indicate d=d_l but rather d <= d_l, where d_l is the lower critical dimension.

arXiv commentClarifications and extra references

References in corpus (4)

• Lower Critical Dimension of Ising Spin Glasses
• Finite Size Scaling Analysis of Exact Ground States for +/-J Spin Glass Models in Two Dimensions
• A hierarchical approach for computing spin glass ground states
• Short Range Ising Spin Glasses: a critical exponent study

Cited by in corpus (56)

• Energy exponents and corrections to scaling in Ising spin glasses
• Stiffness of the Edwards-Anderson Model in all Dimensions
• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice
• Analog Errors in Ising Machines
• Fractal dimension of domain walls in two-dimensional Ising spin glasses
• Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
• Energy size effects of two-dimensional Ising spin glasses
• Universal critical behavior of the 2d Ising spin glass
• Domain-wall excitations in the two-dimensional Ising spin glass
• Test of Universality in the Ising Spin Glass Using High Temperature Graph Expansion
• Lower-Critical Spin-Glass Dimension from 23 Sequenced Hierarchical Models
• Eminuscent phase in frustrated magnets: a challenge to quantum spin liquids
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• Domain walls and chaos in the disordered SOS model
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Finite-size scaling in two-dimensional Ising spin glass models
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow
• Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality
• A Lower Lower-Critical Spin-Glass Dimension from Quenched Mixed-Spatial-Dimensional Spin Glasses
• Ground States and Defect Energies of the Two-dimensional XY Spin Glass from a Quasi-Exact Algorithm
• Fractal dimension of domain walls in the Edwards-Anderson spin glass model
• Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings
• Scaling behavior of domain walls at the T=0 ferromagnet to spin-glass transition
• An experiment-oriented analysis of 2D spin-glass dynamics: a twelve time-decades scaling study
• Genetic embedded matching approach to ground states in continuous-spin systems
• Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit
• Lower-Critical Dimension of the Random-Field XY Model and the Zero-Temperature Critical Line
• Finite-Size Scaling of the Domain Wall Entropy Distributions for the 2D $\pm J$ Ising Spin Glass
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Effect of vacancy defects on geometrically frustrated magnets
• Novel order parameter to describe the critical behavior of Ising spin glass models
• Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
• Subextensive singularity in the 2D $\pm J$ Ising spin glass
• Numerical Results for Spin Glass Ground States on Bethe Lattices: Gaussian Bonds
• Ground-State and Domain-Wall Energies in the Spin-Glass Region of the 2D $\pm J$ Random-Bond Ising Model
• Reduction of Two-Dimensional Dilute Ising Spin Glasses
• Domain wall entropy of the bimodal two-dimensional Ising spin glass
• Ground-state energy and entropy of the two-dimensional Edwards-Anderson spin-glass model with different bond distributions
• Aspect-Ratio Scaling of Domain Wall Entropy for the 2D $\pm J$ Ising Spin Glass
• Numerical Studies of the Compressible Ising Spin Glass
• Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
• Identification of the critical temperature from non-equilibrium time-dependent quantities
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Obtaining Stiffness Exponents from Bond-diluted Lattice Spin Glasses
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
• Driven and Non-Driven Surface Chaos in Spin-Glass Sponges
• Ground-state magnetization of the Ising spin glass: A recursive numerical method and Chen-Ma scaling
• Spin-s Spin-Glass Phases in the d=3 Ising Model
• The Compressible Ising Spin Glass: Simulation Results
• Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass
• Exact Ground States of the Kaya-Berker Model
• Spin Glass Stiffness in zero Dimensions
• Evidence of de Almeida-Thouless line below six dimensions