Superconductivity and Lattice Instability in Compressed Lithium from Fermi Surface Hot Spots

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 3 embedded figures

Scientific paper

10.1103/PhysRevLett.96.047004

The highest superconducting temperature T$_c$ observed in any elemental metal (Li with T$_c$ ~ 20 K at pressure P ~ 40 GPa) is shown to arise from critical (formally divergent) electron-phonon coupling to the transverse T$_1$ phonon branch along intersections of Kohn anomaly surfaces with the Fermi surface. First principles linear response calculations of the phonon spectrum and spectral function $\alpha^2 F(\omega)$ reveal (harmonic) instability already at 25 GPa. Our results imply that the fcc phase is anharmonically stabilized in the 25-38 GPa range.

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