Logarithmic corrections in the two-dimensional Ising model in a random surface field

Abstract

In the two-dimensional Ising model weak random surface field is predicted to be a marginally irrelevant perturbation at the critical point. We study this question by extensive Monte Carlo simulations for various strength of disorder. The calculated effective (temperature or size dependent) critical exponents fit with the field-theoretical results and can be interpreted in terms of the predicted logarithmic corrections to the pure system's critical behaviour.

10 pages, 4 figures, extended version with one new section

References in corpus (12)

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Cited by in corpus (5)

• The Random-Bond Ising Model in 2.01 and 3 Dimensions
• Mixed-order phase transition of the contact process near multiple junctions
• Nonequilibrium critical dynamics with domain wall and surface
• 1D action and partition function for the 2D Ising model with boundary magnetic field
• Boundary Criticality at the Nishimori Multicritical Point