92 citations · 175 across the 11 of their papers we have counts for
4 papers · 1 filter
Ensemble Inequivalence and the Spin-Glass Transition
Zsolt Bertalan, Kazutaka Takahashi
We report on the ensemble inequivalence in a many-body spin-glass model with integer spin. The spin-glass phase transition is of first order for certain values of the crystal field…
Stability in microcanonical many-body spin glasses
Zsolt Bertalan, Kazutaka Takahashi
We generalize the de Almeida-Thouless line for the many-body Ising spin glass to the microcanonical ensemble and show that it coincides with the canonical one. This enables us to d…
Many-body spin glasses in the microcanonical ensemble
Zsolt Bertalan, Hidethoshi Nishimori
We investigate the p-spin model with Gaussian-distributed random interactions in the microcanonical ensemble using the replica theory. For p=2, there are only second-order phase tr…
Ensemble Inequivalence in the Ferromagnetic p-spin Model in Random Fields
Zsolt Bertalan, Takehiro Kuma, Yoshiki Matsuda +1
We study the effect that randomness has on long-range interacting systems by using the ferromagnetic Ising model with -body interactions in random fields. The case with p=2 yiel…