Comprehensive study of the critical behavior in the diluted antiferromagnet in a field

Abstract

We study the critical behavior of the Diluted Antiferromagnet in a Field with the Tethered Monte Carlo formalism. We compute the critical exponents (including the elusive hyperscaling violations exponent $\theta$). Our results provide a comprehensive description of the phase transition and clarify the inconsistencies between previous experimental and theoretical work. To do so, our method addresses the usual problems of numerical work (large tunneling barriers and self-averaging violations).

4 pages, 2 figures

References in corpus (9)

• Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model
• Finite size scaling in Ising-like systems with quenched random fields: Evidence of hyperscaling violation
• Numerical study of the random field Ising model at zero and positive temperature
• First order transition in a three dimensional disordered system
• Tethered Monte Carlo: computing the effective potential without critical slowing down
• Weak first order transition in the three-dimensional site-diluted Ising antiferromagnet in a magnetic field
• Tethered Monte Carlo: Managing rugged free-energy landscapes with a Helmholtz-potential formalism
• Scaling and self-averaging in the three-dimensional random-field Ising model
• Fluids with quenched disorder: Scaling of the free energy barrier near critical points

Cited by in corpus (12)

• Universality in the three-dimensional random-field Ising model
• Critical parameters of the three-dimensional Ising spin glass
• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
• Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
• Diluted antiferromagnets in a field seem to be in a different universality class than the random-field Ising model
• Tethered Monte Carlo: Managing rugged free-energy landscapes with a Helmholtz-potential formalism
• Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
• Diluted Antiferromagnetic 3D Ising model in a field
• Random-field Ising model: Insight from zero-temperature simulations
• Colloids and polymers in random colloidal matrices: demixing under good-solvent conditions
• Hyperscaling violation in Ising Spin Glasses
• Inhomogeneities on all scales at a phase transition altered by disorder