Merge branch 'master' of github.com:pfloos/EPAWTFT

Manuscript/EPAWTFT.tex

@@ -1216,6 +1216,15 @@ A $[d_A/d_B]$ Pad\'e approximant is defined as
 (with $b_0 = 1$), where the coefficients of the polynomials $A(\lambda)$ and $B(\lambda)$ are determined by collecting terms according to power of $\lambda$.
 Pad\'e approximants are extremely useful in many areas of physics and chemistry \cite{Loos_2013,Gluzman_2020} as they can model poles, which appears at the roots of the polynomial $B(\lambda)$. 
 However, they are unable to model functions with square-root branch points, which are ubiquitous in the singularity structure of a typical perturbative treatment.
+Figure \ref{fig:PadeRMP} illustrates the improvement brought by Pad\'e approximants as compared to the usual Taylor expansion in the case of the RMP series of the Hubbard dimer for $U/t = 4.5$.
+
+%%%%%%%%%%%%%%%%%
+\begin{figure}
+    \includegraphics[width=\linewidth]{PadeRMP}
+    \caption{\label{fig:PadeRMP}
+    RMP ground-state energy as a function of $\lambda$ obtained with various approximations for $U/t = 4.5$.}
+\end{figure}
+%%%%%%%%%%%%%%%%%
 
 %==========================================%
 \subsection{Quadratic approximant}