Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice

Abstract

We use determinantal quantum Monte Carlo simulations and numerical linked-cluster expansions to study thermodynamic properties and short-range spin correlations of fermions in the honeycomb lattice. We find that, at half filling and finite temperatures, nearest-neighbor spin correlations can be stronger in this lattice than in the square lattice, even in regimes where the ground state in the former is a semimetal or a spin liquid. The honeycomb lattice also exhibits a more pronounced anomalous region in the double occupancy that leads to stronger adiabatic cooling than in the square lattice. We discuss the implications of these findings for optical lattice experiments.

5 pages, 4 figures

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Cited by in corpus (7)

• A Short Introduction to Numerical Linked-Cluster Expansions
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• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Phase transitions in partial summation methods: Results from the 3D Hubbard model
• Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
• Numerical results on the short-range spin correlation functions in the ground state of the two-dimensional Hubbard model
• Specific heat and density anomaly in the Hubbard model