Dielectric response of cylindrical nanostructures in a magnetic field
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We study the magnetic field dependence of the dielectric response of large cylindrical molecules such as nanotubes. When a field-induced level crossing takes place, an applied electric field has two effects: it may cause a linear instead of the usual quadratic Stark effect or the difference in the quadratic Stark coefficient of the two levels leads to a discontinuity in the polarization. Explicit calculations are performed for doped nanotubes and a rich structure in the real part of the low-frequency dielectric function \(\) is found when a magnetic field is applied along the cylinder axis. It is suggested that studies of \(\) can serve as a spectroscopic tool for the investigation of large ring-shaped or cylindrical molecules.
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