Quasiparticle energy spectra and magnetic response of certain curved graphitic geometries

Abstract

The quasiparticle energy spectra associated with some memebrs of fullerene (curved graphitic geometries, e.g., ${\mathrm{C}}_{50}$, ${\mathrm{C}}_{60}$, ${\mathrm{C}}_{70}$, and helical graphitic microtubules) are obtained anayltically within the Hartree-Fock mean-field approximation. The magnetization and magnetic susceptibility are calculated in the presence of a strong external magnetic field at zero temperature. Interesting theoretical predictions such as the single quasiparticle excitation energies for ${\mathrm{C}}_{50}$, ${\mathrm{C}}_{50}^{+}$; ${\mathrm{C}}_{60}$, ${\mathrm{C}}_{60}^{+}$; ${\mathrm{C}}_{70}$ and ${\mathrm{C}}_{70}^{+}$ as well as the presence of an extra peak in de Haas--van Alphen oscillations for a helical graphitic microtubule are discussed in terms of accessible experimental measurements.