figures+kappa

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EnzoMonino 2022-04-15 11:23:55 +02:00
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commit 448c8691d6
6 changed files with 2472 additions and 1633 deletions

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@ -418,10 +418,10 @@ In this context, the real version of the simple energy-independent regularizer \
Our investigations have shown that the following energy-dependent regularizer
\begin{equation}
\label{eq:srg_reg}
f_\eta(\Delta) = \frac{1-e^{-2\Delta^2/\eta^2}}{\Delta}
f_\kappa(\Delta) = \frac{1-e^{-2\Delta^2/\kappa^2}}{\Delta}
\end{equation}
derived from the (second-order) perturbative analysis of the similarity renormalization group (SRG) equations \cite{Wegner_1994,Glazek_1994,White_2002} by Evangelista \cite{Evangelista_2014} is particularly convenient and effective for our purposes.
Increasing $\eta$ gradually integrates out states with denominators $\Delta$ larger than $\eta$ while the states with $\Delta \ll \eta$ are not decoupled from the reference space, hence avoiding intruder state problems. \cite{Li_2019a}
Increasing $\kappa$ gradually integrates out states with denominators $\Delta$ larger than $\kappa$ while the states with $\Delta \ll \kappa$ are not decoupled from the reference space, hence avoiding intruder state problems. \cite{Li_2019a}
Figure \ref{fig:H2reg_zoom} compares the non-regularized and regularized quasiparticle energies in the two regions of interest for various $\eta$ values.

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