figures+kappa
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@ -418,10 +418,10 @@ In this context, the real version of the simple energy-independent regularizer \
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Our investigations have shown that the following energy-dependent regularizer
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\begin{equation}
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\label{eq:srg_reg}
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f_\eta(\Delta) = \frac{1-e^{-2\Delta^2/\eta^2}}{\Delta}
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f_\kappa(\Delta) = \frac{1-e^{-2\Delta^2/\kappa^2}}{\Delta}
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\end{equation}
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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.
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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}
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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}
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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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