From a1776634c4a6b5695471aedeedd5eacc966f8b1c Mon Sep 17 00:00:00 2001 From: Hugh Burton Date: Tue, 24 Nov 2020 15:35:17 +0000 Subject: [PATCH] Updated UMP convergence figure --- Manuscript/EPAWTFT.tex | 3 ++- Manuscript/fig3b.pdf | Bin 51797 -> 41098 bytes 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/Manuscript/EPAWTFT.tex b/Manuscript/EPAWTFT.tex index 335fa96..bee40fe 100644 --- a/Manuscript/EPAWTFT.tex +++ b/Manuscript/EPAWTFT.tex @@ -950,7 +950,8 @@ sacrificed convergence of the excited-state series so that the chance of ground- Since the UHF ground state already provides a good approximation to the exact energy, the ground-state sheet of the UMP energy is relatively flat and the corresponding EP in the Hubbard dimer always lies outside the unit cylinder. -\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.} +\hugh{The slow convergence observed in \ce{H2}\cite{Gill_1988} can then be seen as this EP +moves closer to one at larger $U/t$ values.} Furthermore, the majority of the UMP expansion in this regime is concerned with removing spin-contamination from the wave function \hugh{rather than improving the energy. 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