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\subsection{Valence Disproportionation: TlCsCl3}
\label{sec:tlcscl3}
$Ba_{1-x} Potassium-doped barium bismuth oxide ($Ba_{1-x} K_x
B iO_3$, Bi O_3$), is a famous high temperature superconductor, discovered in the
later 80's.[ REF SLEITHGT AND CAVA]. late 1980s~\cite{Sleight_1975, Cava_1988}. Its parent compound,
BaBiO3, BaBiO$_3$, has a distorted perovskite structure, with a
gap of the order of
0.7 eV band gap
(Sleight et. al (1975)). of $\sim 0.2$~eV~\cite{Sleight_1975}. Doping the material,
for example with K
for example, suppresses the structural distortions and makes the material
superconducting
superconducting superconducting, reaching a
maximum critical transition temperature of
the order of
30 K )at the nearly 30~K at optimal doping.
LDA fails to DFT does not describe the insulating character of the parent compound. Conventional LDA estimates of the electron phonon
coupling, coupling within Migdal Eliasberg
theory, theory predicted that the
electron phonon electron-phonon coupling
$\lambda$ in the doped compound is of the order of
XXX XXX, and therefore
cannot is too small to account for its
superconductivity. \cite{Meregalli_1998}
In ref\cite{Yin_2013} superconductivity~\cite{Meregalli_1998}.
Examining the effect of correlations, we found that
in BaBiO 3 there $lambda$ is
a substantial
correlation enhancement of λ substantially enhanced relative to its
LDA estimate, DFT estimate to $\sim 1$, and that this enhancement is responsible for
superconductvity superconductivity in
BaKBiO3 (λ ~ .1 ) . BaBiO$_3$~\cite{Yin_2013}. We argue that this occurs in many other materials which are proximate to an insulating state, and accounts for the superconductivity on the “Other High Temperature superconductors”. HfNCl, Borocarbides, Bucky Balls.
For these materials the most important type of correlation that needs to be treated is the static
( in the solid state physicist convention) correlations. Hence a GW, or a hybrid DFT calcuation is enough