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    Effect of rattling Phonons on Superconductivity of KOs_2O_6

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    Author
    Tajik, Samin
    Keyword
    Rattling
    Beta-Pyrochlore Superconductors
    Superconducting Gap
    Eliashberg Equations
    Superconducting Properties of KOs_2O_6
    Superconducting Properties
    Nuclear Magnetic Resonance Relaxation Rate
    Electron-Phonon Coupling
    Strong Coupling Superconductors
    Einstein Model
    Iterative Analytic Continuation to the real axis
    Calculating Critical Temperature
    Gap Edge
    Density of quasiparticle states
    Electron Phonon Coupling
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    URI
    http://hdl.handle.net/10464/13209
    Abstract
    We model the electron coupling to anharmonic (rattling) mode in β-pyrochlore superconductor KOs2O6 by a sharply peaked electron-phonon coupling function α2F(Ω) centered at the mode energy. The strong-coupling Eliashberg equations are solved for the transition temperature Tc and the gap function ∆(ω,T) for a series of temperatures 0 < T < Tc. From these solutions, we obtain the temperature dependence of the gap edge ∆(T), the nuclear magnetic resonance (NMR) relaxation rate and the microwave conductivity for several values of the electron-phonon coupling parameter λ. The results are compared with the available experimental results 0 for KOs2O6
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    M.Sc. Physics

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