Updated UMP convergence figure
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@ -950,7 +950,8 @@ sacrificed convergence of the excited-state series so that the chance of ground-
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Since the UHF ground state already provides a good approximation to the exact energy, the ground-state sheet of
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the UMP energy is relatively flat and the corresponding EP in the Hubbard dimer always lies outside the unit cylinder.
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\hugh{The slow convergence observed in \ce{H2} can then be seen as this EP moves ever closer to one at larger $U/t$ values.}
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\hugh{The slow convergence observed in \ce{H2}\cite{Gill_1988} can then be seen as this EP
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moves closer to one at larger $U/t$ values.}
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Furthermore, the majority of the UMP expansion in this regime is concerned with removing spin-contamination from the wave
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function \hugh{rather than improving the energy.
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It is well-known that the spin-projection needed to remove spin-contamination can require non-linear combinations
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