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Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid

Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid

Electronic standing waves with two different wavelengths were directly mapped near one end of a single-wall carbon nanotube as a function of the tip position and the sample bias voltage with high-resolution position-resolved scanning tunneling spectroscopy. The observed two standing waves caused by separate spin and charge bosonic excitations are …