Zero-temperature spinglass–ferromagnetic transition: Scaling analysis of the domain-wall energy - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Accéder directement au contenu
Article Dans Une Revue Biophysical Reviews and Letters Année : 2014

Zero-temperature spinglass–ferromagnetic transition: Scaling analysis of the domain-wall energy

Résumé

For the Ising model with Gaussian random coupling of average $J_0$ and unit variance, the zero-temperature spinglass-ferromagnetic transition as a function of the control parameter $J_0$ can be studied via the size-$L$ dependent renormalized coupling defined as the domain-wall energy $J^R(L) \equiv E_{GS}^{(AF)}(L)-E_{GS}^{(F)}(L)$ (i.e. the difference between the ground state energies corresponding to AntiFerromagnetic and and Ferromagnetic boundary conditions in one direction). We study numerically the critical exponents of this zero-temperature transition within the Migdal-Kadanoff approximation as a function of the dimension $d=2,3,4,5,6$. We then compare with the mean-field spherical model. Our main conclusion is that in low dimensions, the critical stiffness exponent $\theta^c$ is clearly bigger than the spin-glass stiffness exponent $\theta^{SG}$, but that they turn out to coincide in high enough dimension and in the mean-field spherical model. We also discuss the finite-size scaling properties of the averaged value and of the width of the distribution of the renormalized couplings.
Fichier principal
Vignette du fichier
1401.6342v2.pdf (321.79 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

cea-01323246 , version 1 (30-05-2016)

Identifiants

Citer

Cécile Monthus, Thomas Garel. Zero-temperature spinglass–ferromagnetic transition: Scaling analysis of the domain-wall energy. Biophysical Reviews and Letters, 2014, 89 (18), ⟨10.1103/PhysRevB.89.184408⟩. ⟨cea-01323246⟩
31 Consultations
101 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More