Dielectric response of cylindrical nanostructures in a magnetic field*
Max-Planck-Institut für Physik Komplexer Systeme,
Nöthnitzer Straße 38, 01187 Dresden, Germany
Revised: 19 May 2000
Published online: 15 October 2000
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.
PACS: 77.22.-d – Dielectric properties of solids and liquids / 78.40.Ri – Fullerenes and related materials / 75.20.-g – Diamagnetism and paramagnetism / 73.23.-b – Mesoscopic systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000