Phase diagram of the three-orbital Hubbard-Holstein model simulating Superconducting Tungsten Bronze A<sub>x</sub>WO<sub>3</sub>

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<jats:title>Abstract</jats:title> <jats:p>The superconductivity in tungsten bronze <jats:italic>A<jats:sub>x</jats:sub> </jats:italic>WO<jats:sub>3</jats:sub> (A═alkali metal) is studied based on first-principles calculations and orbital fluctuation theory. We discuss the effects of the electron-Jahn-Teller phonon interaction and the on-site Coulomb interaction in the random phase approximation, and obtain a phase diagram on the <jats:italic>U — g</jats:italic> plane in the low-doped regime at <jats:italic>x</jats:italic>~0.05, where high-temperature superconductivity has been experimentally observed.</jats:p>

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