Double occupancy as a universal probe for antiferromagnetic correlations and entropy in cold fermions on optical lattices

Details Double occupancy as a universal probe for antiferromagnetic correlations and entropy in cold fermions on optical lattices Double occupancy as a universal probe for antiferromagnetic correlations and entropy in cold fermions on optical lattices

2011-05-17

arxiv.org/abs/1105.3356v1

Physics

Condensed Matter

Quantum Gases

4 pages, 4 figures

Scientific paper

We verify signatures of antiferromagnetic (AF) correlations in the double occupancy D [Gorelik et al., PRL 105, 065301 (2010)] and study their dimensional dependence using direct quantum Monte Carlo in dimensions d=2,3 and Bethe Ansatz in d=1. We find quantitative agreement with dynamical mean-field theory (DMFT) in the cubic case and qualitative agreement down to d=1. As a function of entropy s=S/(N k_B), D is nearly universal with respect to d; the minimum in D(s) approaches s=log(2) at strong coupling, as predicted by DMFT. Long-range order appears hardly relevant for the current search of AF signatures in cold fermions. Thus, experimentalists need not achieve s

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