Several results on the finite-size corrections in the Sherrington-Kirkpatrick spin-glass model

Abstract

The authors present several results on the finite-size corrections in the SK model within the spin-glass phase slightly below the transition temperature and along the de Almeida-Thouless (AT) line. In the first case, they study the finite-size corrections for the distribution of overlaps P(q) and for ultrametricity. Along the AT line, finite-size corrections to the free and internal energy are also obtained. Numerical results are in good agreement with their predictions.