Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices

Details Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices

2012-01-26

arxiv.org/abs/1201.5576v1

Physics

Condensed Matter

Quantum Gases

4+e pages, 4 figures; this paper significantly expands the strong-coupling scenario put forward in arXiv:1105.3356 (but omits

Scientific paper

We determine antiferromagnetic (AF) signatures in the half-filled Hubbard model at strong coupling for a cubic lattice and in lower dimensions. Upon cooling, the transition from the charge-excitation regime to the AF Heisenberg regime is signaled by a universal minimum of the double occupancy at entropy S/(N k_B)=log(2) per particle and a linear increase of the next-nearest neighbor (NNN) spin correlation function below. This crossover, driven by a gain in kinetic exchange energy, appears as the essential AF physics relevant for current cold-atom experiments. The detection of long-range AF order requires measurements of spin correlations at or beyond NNN distances.

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