Ground states and thermal states of the random field Ising model

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 5 figures; new material added in this version

Scientific paper

10.1103/PhysRevLett.95.137208

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all temperatures using the the Wang-Landau algorithm. The specific heat and susceptibility typically display sharp peaks in the critical region for large systems and strong disorder. These sharp peaks result from large domains flipping. For a given realization of disorder, ground states and thermal states near the critical line are found to be strongly correlated--a concrete manifestation of the zero temperature fixed point scenario.

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