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@ -219,7 +219,7 @@ Taking the optical gap (\ie, the lowest optical excitation energy) as an example
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\end{equation}
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which is itself a corrected version of the Kohn-Sham (KS) gap
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\begin{equation}
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\Eg^{\KS} = \eps_{\LUMO}^{\KS} - \varepsilon_{\HOMO}^{\KS} \ll \Eg^{\GW} < \EgFun,
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\Eg^{\KS} = \eps_{\LUMO}^{\KS} - \varepsilon_{\HOMO}^{\KS} \ll \Eg^{\GW} \simeq \EgFun,
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\end{equation}
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in order to approximate the optical gap
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\begin{equation}
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@ -349,7 +349,7 @@ $$
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\left| \frac{ 1 }{ \Omega_{ib}^{s} - \Omega_m^{RPA} } \right|
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< \frac{1}{ \Omega_m^{RPA} }
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$$
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This leads to reduced electron-hole screening, namely larger electron-hole stabilising binding energy, as compared to the standard adiabatic BSE, leading to smaller (blue-shifted) excitation energies. }
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This leads to reduced electron-hole screening, namely larger electron-hole stabilising binding energy, as compared to the standard adiabatic BSE, leading to smaller (red-shifted) excitation energies. }
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%In order to compute the neutral (optical) excitations of the system and their associated oscillator strengths, the BSE expresses the two-body propagator \cite{Strinati_1988, Martin_2016}
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