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Depolarisation of spherical-membrane quantum well: Gap renormalisation for closed-shell fullerenes

Slava V. Rotkin
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Abstract

An anomalous large level shift is newly found to correct the one-electron spectrum of a closed-shell carbon nanocluster, for example, the spectrum which was described within the model of a thin quantum well rolled into a sphere. As a result of the interaction with zero-point oscillations of the confined modes of the electric field, the one-electron energy levels heighten. The depolarization depends on the electron momentum, why it does not shift the rotational spectrum as a whole. Surprisingly the shift in a spherical closed-shell cluster of an arbitrary size is described by an universal law. The non-equidistant shift of the levels results in an increase of an one-electron gap by 1.4 times.

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Slava V. Rotkin. 2000-02-21. Depolarisation of spherical-membrane quantum well: Gap renormalisation for closed-shell fullerenes. https://arxiv.org/abs/cond-mat/0002320

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