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Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities

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arxiv cond-mat/0608001 v1 pith:CE45ZLWC submitted 2006-07-31 cond-mat.str-el cond-mat.mes-hall

Paata Kakashvili , Henrik Johannesson , Sebastian Eggert This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords boundaryedgesimpuritiesliquidlocalluttingerspectralweight
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We calculate the finite-temperature local spectral weight (LSW) of a Luttinger liquid with an "open" (hard wall) boundary. Close to the boundary the LSW exhibits characteristic oscillations indicative of spin-charge separation. The line shape of the LSW is also found to have a Fano-like asymmetry, a feature originating from the interplay between electron-electron interaction and scattering off the boundary. Our results can be used to predict how edges and impurities influence scanning tunneling microscopy (STM) of one-dimensional electron systems at low temperatures and voltage bias. Applications to STM on single-walled carbon nanotubes are discussed.

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