Monte Carlo study of the critical properties of the three-dimensional 120-degree model

Details Monte Carlo study of the critical properties of the three-dimensional 120-degree model Monte Carlo study of the critical properties of the three-dimensional 120-degree model

2011-06-17

arxiv.org/abs/1106.3426v2

J. Stat. Mech. (2011) P09010

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 6 figures

Scientific paper

10.1088/1742-5468/2011/09/P09010

We report on large scale finite-temperature Monte Carlo simulations of the classical $120^\circ$ or $e_g$ orbital-only model on the simple cubic lattice in three dimensions with a focus towards its critical properties. This model displays a continuous phase transition to an orbitally ordered phase. While the correlation length exponent $\nu\approx0.665$ is close to the 3D XY value, the exponent $\eta \approx 0.15$ differs substantially from O(N) values. We also introduce a discrete variant of the $e_g$ model, called $e_g$-clock model, which is found to display the same set of exponents. Further, an emergent U(1) symmetry is found at the critical point $T_c$, which persists for $T

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