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The extended SSH model and Bogoliubov-de Gennes(BdeG) formalism are appliedto investigate the electronic properties and stable lattice configurations ofC$_{36}$. We focus the problem on the molecule's unusual $D_{6h}$ symmetry. Theelectronic part of the Hamiltonian without Coulomb interaction is solvedanalytically. We find that the gap between HOMO and LUMO is small due to thelong distance hopping between the 2nd and 5th layers. The charge densities ofHOMO and LUMO are mainly distributed in the two layers, that causes a largesplitting between the spin triplet and singlet excitons. The differences ofbond lengths, angles and charge densities among the molecule and polarons arediscussed.Comment: 15 pages, 4 figures, 4 Table

ELECTRONIC AND STRUCTURAL PROPERTIES OF C36 MOLECULE

ELECTRONIC AND STRUCTURAL PROPERTIES OF C₃₆ MOLECULE