Spin Glasses

Baity‐Jesi, Marco

doi:10.1007/978-3-319-41231-3

Cited by 3 publications

(1 citation statement)

References 158 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…x+ê (ê is a unit vector) [118,119], since these quantities are equivalent in the limit d → ∞. There are several ways to extract a correlation length ξ micro from C(r) [117,[120][121][122]. For example, ξ micro = r 2 C(r)dr C(r) .…”

Section: Spatial Correlationsmentioning

confidence: 99%

An Introduction to the Theory of Spin Glasses

Altieri¹,

Baity‐Jesi²

2023

Preprint

View full text Add to dashboard Cite

We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method, and the dynamical mean-field theory. In the second part, we deal with the description of low-dimensional systems, mostly in three spatial dimensions, which are mostly studied through numerical simulations. We conclude by mentioning some of the main open problems in the field.

show abstract

Section: Spatial Correlationsmentioning

confidence: 99%

An Introduction to the Theory of Spin Glasses

Altieri¹,

Baity‐Jesi²

2023

Preprint

View full text Add to dashboard Cite

show abstract

Precursors of the spin glass transition in three dimensions

Baity‐Jesi

Martı́n-Mayor

2019

J. Stat. Mech.

View full text Add to dashboard Cite

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature T larger than the critical temperature Tc. The landscape is nontrivially related to the equilibrium states even in the high-temperature phase, and reveals an onset of non-trivial behavior at a temperature To, which is also seen through the behavior of the thermoremanent magnetization. We also find a power-law growth of the relaxation times far from the spin-glass transition, indicating a dynamical crossover at a temperature T d , Tc < T d < To. The arising picture is reminiscent of the phenomenology of supercooled liquids, and poses questions on which meanfield models can describe qualitatively well the phenomenology in three dimensions. On the technical side, local energy minima are found with the Successive Overrelaxation algorithm, which reveals very efficient for energy minimization in this kind of models. arXiv:1901.05581v1 [cond-mat.dis-nn]

show abstract