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Energy Anomaly and Polarizability of Carbon Nanotubes

D. S. Novikov·L. S. Levitov
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Abstract

The energy of electron Fermi sea perturbed by external potential, represented as energy anomaly which accounts for the contribution of the deep-lying states, is analyzed for massive d = 1+1 Dirac fermions on a circle. The anomaly is a universal function of the applied field, and is related to known field-theoretic anomalies. We express transverse polarizability of Carbon nanotubes via the anomaly, in a way which exhibits the universality and scale-invariance of the response dominated by pi-electrons and qualitatively different from that of dielectric and conducting shells. Electron band transformation in a strong-field effect regime is predicted.

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D. S. Novikov, L. S. Levitov. 2005-12-04. Energy Anomaly and Polarizability of Carbon Nanotubes. https://doi.org/10.1103/physrevlett.96.036402

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