Ground States and Thermal States of the Random Field Ising Model

Yong Wu and Jonathan Machta
Phys. Rev. Lett. 95, 137208 – Published 23 September 2005

Abstract

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random field and external field strength. Thermal states and thermodynamic properties are obtained for all temperatures using 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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  • Received 28 January 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.137208

©2005 American Physical Society

Authors & Affiliations

Yong Wu and Jonathan Machta

  • Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA

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Issue

Vol. 95, Iss. 13 — 23 September 2005

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