Electron-hole symmetry in a semiconducting carbon nanotube quantum dot

Details Electron-hole symmetry in a semiconducting carbon nanotube quantum dot Electron-hole symmetry in a semiconducting carbon nanotube quantum dot

2004-09-28

arxiv.org/abs/cond-mat/0409714v1

Nature 429, 389-392 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 4 figures

Scientific paper

10.1038/nature02568

Optical and electronic phenomena in solids arise from the behaviour of electrons and holes (unoccupied states in a filled electron sea). Electron-hole symmetry can often be invoked as a simplifying description, which states that electrons with energy above the Fermi sea behave the same as holes below the Fermi energy. In semiconductors, however, electron-hole symmetry is generally absent since the energy band structure of the conduction band differs from the valence band. Here we report on measurements of the discrete, quantized-energy spectrum of electrons and holes in a semiconducting carbon nanotube. Through a gate, an individual nanotube is filled controllably with a precise number of either electrons or holes, starting from one. The discrete excitation spectrum for a nanotube with N holes is strikingly similar to the corresponding spectrum for N electrons. This observation of near perfect electron-hole symmetry demonstrates for the first time that a semiconducting nanotube can be free of charged impurities, even in the limit of few-electrons or holes. We furthermore find an anomalously small Zeeman spin splitting and an excitation spectrum indicating strong electron-electron interactions.

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