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\@writefile{toc}{\contentsline {title}{Double occupancy as a universal probe for antiferromagnetic correlations\\ and entropy in cold fermions on optical lattices}{1}{}}
\@writefile{toc}{\contentsline {abstract}{Abstract}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces (Color online) Hypercubic lattice ($1\le d\le 3$) at strong coupling: a) $D(T)$ as estimated from DMFT ($d=3$, circles), QMC ($d=2$, $3$, squares/diamonds), and BA ($d=1$, dash-dotted line). b) Corresponding estimates of entropy per particle $s=S/N$. All interactions correspond approximately to the ground state Mott transition at $U/(\sqrt  {Z}t)\approx 6$. }}{1}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces (Color online) Hypercubic lattice ($1\le d\le 3$) at strong coupling: Double occupancy as a function of entropy per particle. In all cases, the minimum of the double occupancy corresponds to $s\approx \qopname  \relax o{log}(2)$ (dotted line). The shaded area indicates the nonmagnetic contribution to $D$. Inset: the effect of interaction strength on the double occupancy for $d=1$. }}{1}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces (Color online) Hypercubic lattice ($1\le d\le 3$) at strong coupling: further observables as a function of entropy per particle. a) Rescaled total and kinetic energies as a function of entropy per particle. b) Spin-spin correlations $\delimiter "426830A S_i \cdot S_{i+\delta }\delimiter "526930B $ for the nearest neighbours ($\delta _{d=1}=1$, $\delta _{d=2}=(1,0)$ , $\delta _{d=3}=(1,0,0)$) and for the next-nearest neighbours ($\delta _{d=1}=2$, $\delta _{d=2}=(1,1)$, $\delta _{d=3}=(1,1,0)$). Inset: long range order spin correlations. }}{2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces (Color online) Cubic lattice ($d=3$): Comparison of DMFT (circles) and direct QMC (diamonds) results for the entropy dependence of the a) double occupancy $D(s)$, and b) kinetic energy $E_{kin}$. Inset: The N\'{e}el\ entropy per particle $s_N(U)$, estimated from DMFT (circles) and QMC (diamonds). This lines show critical entropies for the Heisenberg model ($s^{\text  {Heisenberg}}_N=\frac  {1}{2}\qopname  \relax o{log}2$) and Weiss mean-field theory ($s^{\text  {Weiss}}_N=\qopname  \relax o{log}2$). }}{2}{}}
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