Absence of dipole glass transition for randomly dilute classical Ising dipoles

Abstract

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles randomly placed on a cubic lattice with dipolar interactions do not undergo a phase transition. We find that in the thermodynamic limit the ``glass'' transition temperature ${T}_{g}$ goes to zero as $1∕\sqrt{N}$, where $N$ is the number of dipoles. The entropy per particle at low temperatures is larger for lower concentrations $(x=4.5%)$ than for higher concentrations $(x=20%)$.

Locations

• arXiv (Cornell University) - View - PDF
• DataCite API - View
• Physical Review B - View