Evidence of a second-order phase transition in the six-dimensional Ising spin glass in a field
arXiv:2306.00569 · doi:10.1103/PhysRevE.109.055302
Abstract
The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to classical -- but not generally accepted -- field-theoretical studies, is the upper critical dimension). We obtain results compatible with a second-order phase transition and estimate its critical exponents for the simulated lattice sizes. The detailed analysis performed by other authors of the replica symmetric Hamiltonian, under the hypothesis of critical behavior, predicts that the ratio of the renormalized coupling constants remain bounded as the correlation length grows. Our numerical results are in agreement with this expectation.
arXiv comment17 pages, 12 figures
References in corpus (29)
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- Finite size effects on measures of critical exponents in d=3 O(N) models
- Critical parameters of the three-dimensional Ising spin glass
- Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
- Probing the Almeida-Thouless line away from the mean-field model
- Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
- Disappearance of the de Almeida-Thouless line in six dimensions
- Ising spin glass transition in magnetic field out of mean-field
- Scaling Relations for Logarithmic Corrections
- Thermodynamic glass transition in a spin glass without time-reversal symmetry
- Replica symmetry breaking in and around six dimensions
- Critical Dynamics in Glassy Systems
- The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
- Spin glass transition in a magnetic field: a renormalization group study
- Critical properties of the Antiferromagnetic \RP2$ model in three dimensions
- Nontrivial critical fixed point for replica-symmetry-breaking transitions
- Generic replica symmetric field-theory for short range Ising spin glasses
- Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
- Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
- Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions
- Unexpected upper critical dimension for spin glass models in a field predicted by the loop expansion around the Bethe solution at zero temperature
- One-step replica-symmetry-breaking phase below the de Almeida-Thouless line in low-dimensional spin glasses
- Logarithmic Corrections for Spin Glasses, Percolation and Lee-Yang Singularities in Six Dimensions
- Critical Point Scaling of Ising Spin Glasses in a Magnetic Field
- Study of the de Almeida-Thouless (AT) line in the one-dimensional diluted power-law XY spin glass
- de Almeida-Thouless instability in short-range Ising spin-glasses
- Numerical test of the replica-symmetric Hamiltonian for the correlations of the critical state of spin glasses in a field
- Revisiting (logarithmic) scaling relations using renormalization group
- Spin glasses in a field show a phase transition varying the distance among real replicas (and how to exploit it to find the critical line in a field)
Cited by in corpus (5)
- Spin-glass dynamics: experiment, theory and simulation
- Evidence that the AT transition disappears below six dimensions
- Critical exponents of the spin glass transition in a field at zero temperature
- Long-range spin glass in a field at zero temperature
- Evidence of de Almeida-Thouless line below six dimensions