First-order directional ordering transition in the three-dimensional compass model

Abstract

We study the low-temperature properties of the classical three-dimensional compass or $t_{2g}$ orbital model on simple-cubic lattices by means of comprehensive large-scale Monte Carlo simulations. Our numerical results give evidence for a directionally ordered phase that is reached via a first-order transition at the temperature $T_0=0.098328(3)J/k_{\mathrm{B}}$. To obtain our results we employ local and cluster update algorithms, parallel tempering and multiple histogram reweighting as well as model-specific screw-periodic boundary conditions, which help counteract severe finite-size effects.

8.5 pages, 7 figures, 2 tables

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Cited by in corpus (4)

• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
• Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
• Transmuted finite-size scaling at first-order phase transitions
• Hybrid Symmetry Breaking in Classical Spin Models With Subsystem Symmetries