Surface criticality in random field magnets

Details Surface criticality in random field magnets Surface criticality in random field magnets

2005-10-27

arxiv.org/abs/cond-mat/0510727v1

Phys. Rev. B 72, 214416 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 9 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.72.214416

The boundary-induced scaling of three-dimensional random field Ising magnets is investigated close to the bulk critical point by exact combinatorial optimization methods. We measure several exponents describing surface criticality: $\beta_1$ for the surface layer magnetization and the surface excess exponents for the magnetization and the specific heat, $\beta_s$ and $\alpha_s$. The latter ones are related to the bulk phase transition by the same scaling laws as in pure systems, but only with the same violation of hyperscaling exponent $\theta$ as in the bulk. The boundary disorders faster than the bulk, and the experimental and theoretical implications are discussed.

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