Year: 2014
Type: article
Abstract: We present a large deviations theory of the spin-spin correlation functions in the random field Ising model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important at the critical point: The phase transition is driven by a few pairs of strongly correlated spins, while the majority remains basically uncorrelated. At the zero-temperature critical point the number of spin pairs correlated over a distance $\ensuremath{\ell}$ is shown to be no longer exponential, but only linear in the spins separation.
Source: Physical Review B
Authors: F. Morone, G. Parisi, F. Ricci-Tersenghi
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2093239130