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Pierre-Francois Loos 2020-12-01 14:54:51 +01:00
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@ -1274,7 +1274,7 @@ states which share the symmetry of the ground state,\cite{Goodson_2004} and are
(\subref{subfig:rmp_cp}) Exact critical points with $t=0$ occur on the negative real $\lambda$ axis (dashed).
(\subref{subfig:rmp_cp_surf}) Modelling a finite basis using $t=0.1$ yields complex-conjugate EPs close to the
real axis, giving a sharp avoided crossing on the real axis (solid).
(\subref{subfig:rmp_ep_to_cp}) Convergence of the ground-state EP onto the real axis in the exact limit $t \rightarrow 0$.
(\subref{subfig:rmp_ep_to_cp}) Convergence of the ground-state EP onto the real axis in the \trash{exact} limit $t \to 0$.
\label{fig:RMP_cp}}
\end{figure*}
%------------------------------------------------------------------%
@ -1371,7 +1371,7 @@ set representations of the MP critical point.\cite{Sergeev_2006}
\end{subfigure}
% \includegraphics[height=0.65\textwidth,trim={0pt 5pt 0pt 15pt}, clip]{ump_critical_point}
\caption{%
The UMP ground-state EP becomes a critical point in the strong correlation limit (large $U/t$).
The UMP ground-state EP \titou{in the symmetric Hubbard dimer} becomes a critical point in the strong correlation limit (\ie, large $U/t$).
(\subref{subfig:ump_cp}) As $U/t$ increases, the avoided crossing on the real $\lambda$ axis
becomes increasingly sharp.
(\subref{subfig:ump_cp_surf}) Complex energy surfaces for $U = 5t$.