Chuck-Hou Yee edited tlcscl3.tex  over 7 years ago

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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 agap 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