Ground state numerical study of the three-dimensional random field Ising model

Details Ground state numerical study of the three-dimensional random field Ising model Ground state numerical study of the three-dimensional random field Ising model

2002-07-17

arxiv.org/abs/cond-mat/0207438v2

Phys. Rev. B67, 014413 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures; new references and small changes to text

Scientific paper

10.1103/PhysRevB.67.014413

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a uniform external, H is adjusted to find the finite-size critical point. The finite-size critical point is identified as the point in the H-Delta plane where three degenerate ground states have the largest discontinuities in the magnetization. The discontinuities in the magnetization and bond energy between these ground states are used to calculate the magnetization and specific heat critical exponents and both exponents are found to be near zero.

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