Monte Carlo study of the critical properties of the three-dimensional 120-degree model
| Autor: | Sandro Wenzel, Andreas Laeuchli |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Statistics and Probability
Physics Crossover Monte Carlo method Statistical and Nonlinear Physics Simple cubic lattice Approx Lambda Condensed Matter - Strongly Correlated Electrons Critical point (thermodynamics) Exponent Statistics Probability and Uncertainty Scaling Condensed Matter - Statistical Mechanics Mathematical physics |
| Popis: | 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 Comment: 13 pages, 6 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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