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Anthony Scemama 2022-09-14 13:38:06 +02:00
parent d808844e2f
commit 845f598915
5 changed files with 10 additions and 14 deletions
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fig1.pdf
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g.tex
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@ -961,9 +961,7 @@ so that the convergence at large $p$ is reached. The values of $E$ are $-0.780,-
the two-component expression. The estimate of the energy obtained from ${\cal E}(E)=E$ is $-0.76807(5)$ in full agreement with the exact value of $-0.768068...$.
\begin{figure}[h!]
\begin{center}
\includegraphics[width=10cm]{fig1.pdf}
\end{center}
\includegraphics[width=\columnwidth]{fig1.pdf}
\caption{1D-Hubbard model, $N=4$, $U=12$. $H_p$ as a function of $p$ for $E=-1.6,-1.2,-1.,-0.9,-0.8$. $H_0$ is
computed analytically and $H_p$ (p > 0) by Monte Carlo. Error bars are smaller than the symbol size.}
\label{fig1}
@ -971,11 +969,9 @@ computed analytically and $H_p$ (p > 0) by Monte Carlo. Error bars are smaller t
\begin{figure}[h!]
\begin{center}
\includegraphics[width=10cm]{fig2.pdf}
\end{center}
\caption{1D-Hubbard model, $N=4$ and $U=12$. ${\cal E}(E)$ as a function of $E$.
The horizontal and vertical lines are at ${\cal E}(E_0)=E_0$ and $E=E_0$, respectively.
\includegraphics[width=\columnwidth]{fig2.pdf}
\caption{1D-Hubbard model, $N=4$ and $U=12$. $\mathcal{E}(E)$ as a function of $E$.
The horizontal and vertical lines are at $\mathcal{E}(E_0)=E_0$ and $E=E_0$, respectively.
$E_0$ is the exact energy of -0.768068.... The dotted line is the two-component extrapolation.
Error bars are smaller than the symbol size.}
\label{fig2}

10
plots/fig1.plt
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@ -11,9 +11,9 @@ set output "fig1.pdf"
set xrange[0.:60]
set yrange[-0.35:0.05]
plot \
"H_m1.6_fig1" u 1:2:3 title "E=-1.6" w yerrorlines ,\
"H_m1.2_fig1" u 1:2:3 title "E=-1.2" w yerrorlines ,\
"H_m1.0_fig1" u 1:2:3 title "E=-1.0" w yerrorlines ,\
"H_m0.9_fig1" u 1:2:3 title "E=-0.9" w yerrorlines ,\
"H_m0.8_fig1" u 1:2:3 title "E=-0.8" w yerrorlines,\
"H_m1.6_fig1" u 1:2:3 title "E=-1.6" w yerrorlines ls 1,\
"H_m1.2_fig1" u 1:2:3 title "E=-1.2" w yerrorlines ls 2,\
"H_m1.0_fig1" u 1:2:3 title "E=-1.0" w yerrorlines ls 3,\
"H_m0.9_fig1" u 1:2:3 title "E=-0.9" w yerrorlines ls 4,\
"H_m0.8_fig1" u 1:2:3 title "E=-0.8" w yerrorlines ls 6,\

2
plots/fig2.plt
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@ -1,4 +1,4 @@
set term pdf enhanced font "Times,18" rounded linewidth 2.0
set term pdf enhanced font "Times,18" rounded linewidth 2.2
set key bottom right
set format y "%.4f"
set format x "%.3f"