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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces (Color online) Illustration of AF concepts using a classical $xy$ model picture: (a) LRO (here vertically) with strong polarization of each sublattice (red/green spins): $m_{\text  {stag}} = \delimiter "426830A s_i^y \delimiter "526930B _{\text  {red}} - \delimiter "426830A s_i^y \delimiter "526930B _{\text  {green}}=90\%$. (b) Already at $m_{\text  {stag}} =50\%$, the AF order is obscured by fluctuations; however, short-range AF correlations remain obvious. (c) A phase with strong AF correlations, but without any LRO looks quite similar. }}{2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces (Color online) Top: (a) The N\'{e}el\ temperature $T_N(U)$ (determined by QMC \cite  {Staudt00} and DCA \cite  {Kent05}) is up to $30\%$ below the DMFT estimate for $d=3$. (b) While $T_N$ vanishes in $d=2$, the spin-crossover temperature \cite  {Paiva10} agrees with $T_N^{\text  {DMFT}}(U)$.\\ (c) Double occupancy $D(T)$, estimated from DMFT (circles) and QMC (diamonds) for square lattice {\color  {red}[update!]}. Thin lines: nonmagnetic DMFT results for $T<T_{\text  {N}}^{\text  {DMFT}}$ (arrows). }}{2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces (Color online) Hypercubic lattice ($1\le d\le 3$) at strong coupling: a) $D(T)$ as estimated from DMFT ($d=3$, circles), QMC ($d=2$ \cite  {fn:2d}, $3$, 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 $U/(\sqrt  {Z}t)\approx 6$. }}{3}{}}
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