Ground-state energy and entropy of the two-dimensional Edwards–Anderson spin-glass model with different bond distributions

PEREZ-MORELOS D. J.; RAMIREZ PASTOR A. J,; ROMÁ F.

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Año: 2012 vol. 391 p. 937 - 947

0378-4371

We study the two-dimensional Edwards–Anderson spin-glass model using a parallel temperingMonte Carlo algorithm. The ground-state energy and entropy are calculated fordifferent bond distributions. In particular, the entropy is obtained by using a thermodynamicintegration technique and an appropriate reference state, which is determined withthe method of high-temperature expansion. This strategy provides accurate values of thisquantity for finite-size lattices. By extrapolating to the thermodynamic limit, the groundstateenergy and entropy of the different versions of the spin-glass model are determined.