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

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\subsection{Valence Disproportionation: TlCsCl3}  \label{sec:tlcscl3}  Potassium-doped barium bismuth oxide ($Ba_{1-x} K_x Bi O_3$), is a famous high temperature superconductor, discovered in the late 1980s~\cite{Sleight_1975, Cava_1988}. Its parent compound, BaBiO$_3$, has a distorted perovskite structure, with a band gap of $\sim 0.2$~eV~\cite{Sleight_1975}. Doping the material, with K for example, suppresses the structural distortions and makes the material superconducting, reaching a transition temperature of nearly 30~K at optimal doping. DFT does not describe the insulating character of the parent compound. Conventional LDA DFT  estimates of the electron phonon coupling $\lambda$  within Migdal Eliasberg Migdal-Eliasberg  theory predicted that the electron-phonon coupling $\lambda$ give a value of 0.34  in the doped compound is of the order of XXX, and therefore is compound,  too small to account for its superconductivity~\cite{Meregalli_1998}. Examining the effect of correlations, we found that $lambda$ $\lambda$  is substantially enhanced relative to its DFT estimate to $\sim 1$, and that this enhancement is responsible for superconductivity in BaBiO$_3$~\cite{Yin_2013}. We argue that this occurs correlations similarly enhance the electron phonon coupling  inmany  other materialswhich are  proximate to an insulating state, and accounts accounting  forthe  superconductivity on the “Other High Temperature superconductors”. in systems such as  HfNCl, Borocarbides, Bucky Balls. borocarbides and buckminsterfullerenes.  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