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We report the in-plane optical measurements on Na$_x$CoO$_2$ with0.18$\leq$x$\leq$0.92. The crystal growth and characterization were describedin detail. The spectral weight increases monotonically with decreasing x. Forsample with the lowest Na content x$\sim$0.18, the optical conductivity wasstrongly suppressed below 2200 $cm^{-1}$ at low temperature. The suppressionbecomes weaker with increasing Na content, and disappears in charge-orderedsample with x$\sim$0.5. At higher Na contents, similar suppression appearsagain but locates at higher energy scale near 3300 $cm^{-1}$. Our analysisindicates that those spectral features are dominated by a combination ofelectrons coupling to a bosonic mode and a pseudogap-like phenomenon. Wesuggest that the pseudogap-like phenomenon is purely a band structure effect.The infrared activated phonon modes were discussed in relation with thestructural geometries.Comment: revised version 8 pages, 7 figures, to be published in Phys. Rev.

physical review. b, condensed matter and materials physics

Electron-boson mode coupling and the pseudogap of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">Co</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>by infrared spectroscopy

Electron-boson mode coupling and the pseudogap ofNaxCoO2by infrared spectroscopy